Naihuan Jing

Quantum groups, Representation theory, Kac-Moody algebras, vertex algebras, symmetric functions, quantum entanglement, local unitary invariance, Yang-Baxter equation

Works (215)

Updated: May 16th, 2024 05:00

2024 article

A Spin Analog of the Plethystic Murnaghan-Nakayama Rule

Cao, Y., Jing, N., & Liu, N. (2024, February 6). ANNALS OF COMBINATORICS, Vol. 2.

By: Y. Cao*, N. Jing n & N. Liu*

author keywords: Plethysm; Murnaghan-Nakayama rule; Schur Q-functions; Hall-Littlewood functions; Vertex operators
Sources: ORCID, Web Of Science, NC State University Libraries
Added: February 7, 2024

2024 journal article

A note on Cauchy's formula

ADVANCES IN APPLIED MATHEMATICS, 153.

By: N. Jing n & Z. Li*

author keywords: Schur functions; Cauchy's identity; Vertex operator; Charged free bosons
Sources: Web Of Science, NC State University Libraries, ORCID
Added: November 20, 2023

2024 article

Center of the Yangian double in type A

Yang, F., & Jing, N. (2024, February 4). SCIENCE CHINA-MATHEMATICS, Vol. 2.

By: F. Yang* & N. Jing n

author keywords: Yangian double; Harish-Chandra homomorphism; Wakimoto module
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: February 19, 2024

2024 journal article

Characters of GLn(Fq) and vertex operators

Journal of Algebra.

By: N. Jing* & Y. Wu

Source: ORCID
Added: May 15, 2024

2024 journal article

Corrigendum to “The Green polynomials via vertex operators” [J. Pure Appl. Algebra 226 (2022) 107032]

Journal of Pure and Applied Algebra.

By: N. Jing* & N. Liu

Source: ORCID
Added: April 8, 2024

2024 article

Kostant's generating functions and Mckay-Slodowy correspondence

Jing, N., Li, Z., & Wang, D. (2024, January 19). JOURNAL OF ALGEBRA AND ITS APPLICATIONS, Vol. 1.

By: N. Jing*, Z. Li & D. Wang

author keywords: McKay-Slodowy correspondence; generating functions; Coxeter element; Poincare series
Sources: ORCID, Web Of Science, NC State University Libraries
Added: February 2, 2024

2024 journal article

Minor identities for Sklyanin determinants

ADVANCES IN MATHEMATICS, 442.

By: N. Jing n & J. Zhang*

author keywords: Quantum groups; q-determinants; Sklyanin determinants; q-Pfaffians; q-minor identities; Quantum symmetric spaces
Sources: Web Of Science, NC State University Libraries
Added: April 29, 2024

2024 journal article

Qubits as hypermatrices and entanglement

PHYSICA SCRIPTA, 99(5).

By: I. Dobes n & N. Jing n

author keywords: spin-invaraint states; n-tangles; hypermatrices; hyperdeterminant
Sources: ORCID, Web Of Science, NC State University Libraries
Added: April 8, 2024

2024 journal article

Semi-infinite construction for the double Yangian of type A<sub>1</sub><SUP>(1)</SUP>

JOURNAL OF ALGEBRA, 638, 465–487.

By: M. Butorac*, N. Jing n, S. Kozic* & F. Yang*

author keywords: Double Yangian; Semi -infinite construction; Quantum vertex algebra
Sources: Web Of Science, NC State University Libraries
Added: January 2, 2024

2024 journal article

Separability criteria based on the correlation tensor moments for arbitrary dimensional states

QUANTUM INFORMATION PROCESSING, 23(2).

By: X. Huang* & N. Jing n

author keywords: Quantum entanglement; Separability criteria; Correlation tensor; Correlation tensor moment
Sources: Web Of Science, NC State University Libraries
Added: February 19, 2024

2024 journal article

Weighted monogamy and polygamy relations

LASER PHYSICS LETTERS, 21(4).

By: Y. Cao, N. Jing* & Y. Wang*

author keywords: monogamy; polygamy; concurrence; assisted entanglement
Sources: Web Of Science, NC State University Libraries
Added: March 11, 2024

2024 article

Whittaker modules for a subalgebra of <i>N</i>=2 superconformal algebra

Jing, N., Xu, P., & Zhang, H. (2024, April 23). COMMUNICATIONS IN ALGEBRA, Vol. 4.

By: N. Jing n, P. Xu* & H. Zhang*

author keywords: N=2 superconformal algebra; Whittaker module; Whittaker vector
Sources: Web Of Science, NC State University Libraries
Added: May 7, 2024

2023 journal article

Detecting multipartite entanglement via complete orthogonal basis

RESULTS IN PHYSICS, 54.

By: H. Zhao*, J. Hao*, J. Li*, S. Fei*, N. Jing n & Z. Wang*

author keywords: Genuine tripartite entanglement; Complete orthogonal basis; Entanglement
Sources: Web Of Science, NC State University Libraries
Added: December 4, 2023

2023 journal article

Enhanced quantum channel uncertainty relations by skew information

QUANTUM INFORMATION PROCESSING, 22(10).

By: X. Hu*, N. Hu*, B. Yu* & N. Jing n

author keywords: Uncertainty relation; Quantum channel; Skew information
UN Sustainable Development Goal Categories
10. Reduced Inequalities (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: October 16, 2023

2023 journal article

Improved tests of genuine entanglement for multiqudits

EPL, 143(3).

Sources: ORCID, Web Of Science
Added: August 1, 2023

2023 article

Murnaghan-Nakayama Rule and Spin Bitrace for the Hecke-Clifford Algebra

Jing, N., & Liu, N. (2023, July 17). INTERNATIONAL MATHEMATICS RESEARCH NOTICES, Vol. 7.

By: N. Jing n & N. Liu*

Sources: ORCID, Web Of Science, NC State University Libraries
Added: June 29, 2023

2023 article

O-operators and related structures on Leibniz algebras

Sun, Q., & Jing, N. (2023, January 4). COMMUNICATIONS IN ALGEBRA, Vol. 1.

By: Q. Sun* & N. Jing n

author keywords: BN-structure; (dual) ON-structure; Leibniz algebra; Maurer-Cartan equation; O-operator; r - n structure; RBN-structure
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: January 23, 2023

2023 journal article

On monogamy and polygamy relations of multipartite systems

PHYSICA SCRIPTA, 98(3).

By: X. Zhang*, N. Jing n, M. Liu* & H. Ma*

author keywords: monogamy; polygamy; entanglement
UN Sustainable Development Goal Categories
Sources: ORCID, Web Of Science, NC State University Libraries
Added: February 11, 2023

2023 journal article

On super quantum discord for high-dimensional bipartite state

QUANTUM INFORMATION PROCESSING, 22(12).

By: J. Zhou*, X. Hu* & N. Jing n

author keywords: Super quantum discord; Quantum correlations; Bipartite states; Secondary 81Qxx
Sources: Web Of Science, NC State University Libraries, ORCID
Added: January 2, 2024

2023 journal article

One-particle loss detection of genuine multipartite entanglement

QUANTUM INFORMATION PROCESSING, 22(5).

By: H. Zhao*, J. Hao*, S. Fei*, Z. Wang* & N. Jing n

author keywords: Genuine multipartite entanglement; Separability; Correlation tensor
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: June 12, 2023

2023 article

Q-Kostka polynomials and spin Green polynomials

Jiang, A., Jing, N., & Liu, N. (2023, March 20). MONATSHEFTE FUR MATHEMATIK, Vol. 3.

By: A. Jiang*, N. Jing n & N. Liu*

author keywords: Kostka polynomials; Hall-Littlewood polynomials; Schur's Q-polynomials; Projective characters
Sources: ORCID, Web Of Science, NC State University Libraries
Added: March 21, 2023

2023 article

Quantum N-toroidal Algebras and Extended Quantized GIM Algebras of N-fold Affinization

Gao, Y., Jing, N., Xia, L., & Zhang, H. (2023, February 10). COMMUNICATIONS IN MATHEMATICS AND STATISTICS, Vol. 2.

By: Y. Gao*, N. Jing*, L. Xia* & H. Zhang*

author keywords: Generalized intersection matrix; Quantized GIM algebra; Quantum 2-toroidal algebra; Quantum N-toroidal algebra
Sources: ORCID, Web Of Science, NC State University Libraries
Added: February 11, 2023

2023 journal article

Quantum algebra of multiparameter Manin matrices

Journal of Algebra.

By: N. Jing n, Y. Liu* & J. Zhang*

Source: ORCID
Added: June 8, 2023

2023 journal article

R-matrix Presentation of Quantum Affine Algebra in Type A2n-1(2)

FRONTIERS OF MATHEMATICS, 18(3), 513–564.

By: N. Jing n, X. Zhang* & M. Liu*

author keywords: Quantum affine algebras; R-matrix presentations; Drinfeld realization
Sources: Web Of Science, NC State University Libraries
Added: July 3, 2023

2023 journal article

Separability and classification of multipartite quantum states

LASER PHYSICS LETTERS, 20(12).

By: P. Ma, H. Zhao & N. Jing*

author keywords: separability; entanglement; principal base matrix
Sources: Web Of Science, NC State University Libraries
Added: November 20, 2023

2023 journal article

Sharing quantum nonlocality in star network scenarios

FRONTIERS OF PHYSICS, 18(3).

By: T. Zhang*, N. Jing n & S. Fei*

author keywords: Bell nonlocality; quantum network; nonlocality sharing; POVM measurements
Sources: Web Of Science, NC State University Libraries
Added: February 13, 2023

2023 journal article

Uncertainty relations for metric adjusted skew information and Cauchy-Schwarz inequality

LASER PHYSICS LETTERS, 20(8).

By: X. Hu & N. Jing*

author keywords: uncertainty relations; skew information; Cauchy-Schwarz inequality
TL;DR: This work presents an in-depth investigation using the methodologies of sampling coordinates of observables and convex functions to refine the uncertainty relations in both the product form of two observable and summation form of multiple observables. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: ORCID, Web Of Science, NC State University Libraries
Added: July 6, 2023

2022 journal article

Criteria for SLOCC and LU Equivalence of Generic Multi-qudit States

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 62(1).

By: J. Chang*, N. Jing n & T. Zhang*

author keywords: SLOCC; Local unitary equivalence; CP decomposition
Sources: Web Of Science, NC State University Libraries
Added: January 17, 2023

2022 journal article

Criteria of Genuine Multipartite Entanglement Based on Correlation Tensors

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 61(12).

By: N. Jing* & M. Zhang*

author keywords: Genuine multipartite entanglement; Correlation tensor
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: December 19, 2022

2022 article

Deforming vertex algebras by vertex bialgebras

Jing, N., Kong, F., Li, H., & Tan, S. (2022, November 11). COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, Vol. 11.

By: N. Jing n, F. Kong*, H. Li* & S. Tan*

author keywords: Vertex algebra; smash product; quantum vertex algebra; phi-coordinated quasi module; lattice vertex operator algebra
Sources: Web Of Science, NC State University Libraries
Added: November 28, 2022

2022 journal article

Detection of Multipartite Entanglement Based on Heisenberg-Weyl Representation of Density Matrices

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 61(5).

By: H. Zhao*, Y. Yang, N. Jing n, Z. Wang* & S. Fei*

author keywords: Heisenberg-Weyl representation; Genuine entanglement; Correlation tensor
Sources: Web Of Science, NC State University Libraries
Added: May 16, 2022

2022 journal article

Detection of genuine entanglement for multipartite quantum states

QUANTUM INFORMATION PROCESSING, 21(9).

By: H. Zhao, Y. Liu, N. Jing* & Z. Wang

author keywords: Genuine entanglement; Correlation tensor; Generalized Pauli operators
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: September 26, 2022

2022 journal article

Detection of genuine multipartite entanglement based on principal basis matrix representations

LASER PHYSICS LETTERS, 19(3).

By: H. Zhao, Y. Liu, S. Fei, Z. Wang & N. Jing*

author keywords: genuine multipartite entanglement; principal basis; correlation tensor
Sources: Web Of Science, NC State University Libraries
Added: February 28, 2022

2022 journal article

Detection of genuine tripartite entanglement based on Bloch representation of density matrices

QUANTUM INFORMATION PROCESSING, 21(3).

By: H. Zhao*, Y. Liu*, N. Jing n, Z. Wang* & S. Fei*

author keywords: Genuine multipartite entanglement; Separability; Correlation tensor
Sources: Web Of Science, NC State University Libraries
Added: March 28, 2022

2022 journal article

Improved unitary uncertainty relations

QUANTUM INFORMATION PROCESSING, 21(2).

By: X. Hu* & N. Jing n

author keywords: Uncertainty relations; Cauchy-Schwarz inequality; Unitary operators
Sources: ORCID, Web Of Science, NC State University Libraries
Added: January 20, 2022

2022 journal article

Lattice structure of modular vertex algebras

JOURNAL OF ALGEBRA, 592, 1–17.

By: H. Huang* & N. Jing n

author keywords: Vertex algebras; Integral forms; Modular vertex algebras; Automorphism groups
Sources: ORCID, Web Of Science, NC State University Libraries
Added: November 6, 2021

2022 journal article

Level-1/2 Realization of Quantum N-Toroidal Algebra in Type C-n

ALGEBRA COLLOQUIUM, 29(01), 79–98.

By: N. Jing n, Q. Wang* & H. Zhang*

author keywords: vertex representation; quantum N-toroidal algebra; vertex operator; toroidal Lie algebra
Sources: Web Of Science, NC State University Libraries
Added: January 24, 2022

2022 journal article

Local Unitary Equivalence of Generic Multi-qubits Based on the CP Decomposition

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 61(5).

By: J. Chang* & N. Jing n

author keywords: Local unitary equivalence; Tensors; CP decomposition
Sources: Web Of Science, NC State University Libraries
Added: May 23, 2022

2022 journal article

Monogamy and Polygamy Relations of Quantum Correlations for Multipartite Systems

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 61(1).

By: M. Zhang*, N. Jing* & H. Zhao*

author keywords: Monogamy; Polygamy; Concurrence; Negativity
Sources: ORCID, Web Of Science, NC State University Libraries
Added: February 4, 2022

2022 journal article

Near-Optimal Variance-Based Uncertainty Relations

FRONTIERS IN PHYSICS, 10.

By: Y. Xiao*, N. Jing n, B. Yu*, S. Fei* & X. Li-Jost*

author keywords: <p>numbers:& nbsp;03.65.ta,& nbsp;& nbsp;03.67.a,& nbsp;& nbsp;42.50.lc</p>; uncertainty relation; variance-based; uncertainty interval
TL;DR: This work investigates the fundamental limitations of variance-based uncertainty relations, and introduces several ‘near optimal’ bounds for incompatible observables, and detailed how to formulate lower bounds for product-form variance- based uncertainty relations by employing entropic uncertainty relations. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: May 16, 2022

2022 article

On Hopf algebraic structures of quantum toroidal algebras

Jing, N., & Zhang, H. (2022, October 1). COMMUNICATIONS IN ALGEBRA, Vol. 10.

By: N. Jing n & H. Zhang*

author keywords: Drinfeld realization; comultiplication; Drinfeld generator; Hopf algebra; quantum toroidal algebra
Sources: Web Of Science, NC State University Libraries
Added: October 17, 2022

2022 journal article

On Smith normal forms of q-Varchenko matrices

ALGEBRA AND DISCRETE MATHEMATICS, 34(2), 187–222.

By: N. Boulware*, N. Jing n & K. Misra n

author keywords: Smith normal forms; hyperplane arrangements; Platonic solids; Varchenko matrices
Sources: Web Of Science, NC State University Libraries
Added: April 11, 2023

2022 journal article

On genuine entanglement for tripartite systems

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 20(02).

author keywords: Genuine entanglement; partial transposition; correlation tensor; Frobenius norm
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: April 18, 2022

2022 journal article

On irreducible characters of the Iwahori-Hecke algebra in type A

JOURNAL OF ALGEBRA, 598, 24–47.

By: N. Jing n & N. Liu*

author keywords: Hecke algebras; Jing operators; Schur polynomials; Murnaghan-Nakayama rule
Sources: ORCID, Web Of Science, NC State University Libraries
Added: February 4, 2022

2022 journal article

On quantum toroidal algebra of type A(1)

JOURNAL OF PURE AND APPLIED ALGEBRA, 226(1).

By: F. Chen*, N. Jing n, F. Kong* & S. Tan*

author keywords: Quantum toroidal algebra; Triangular decomposition; Hopf algebra
Sources: Web Of Science, NC State University Libraries
Added: August 23, 2021

2022 article

Quantum Supergroup U-r,U-s(osp(1,2)), Scasimir operators and Dickson polynomials

Liu, F., Hu, N., & Jing, N. (2022, October 26). JOURNAL OF ALGEBRA AND ITS APPLICATIONS, Vol. 10.

By: F. Liu*, N. Hu* & N. Jing n

author keywords: Two-parameter quantum supergroup; center; Dickson polynomial; Scasimir operator
UN Sustainable Development Goal Categories
10. Reduced Inequalities (Web of Science)
Sources: ORCID, Web Of Science, NC State University Libraries
Added: September 12, 2022

2022 journal article

Quantum discords of tripartite quantum systems

QUANTUM INFORMATION PROCESSING, 21(4).

By: J. Zhou*, X. Hu* & N. Jing n

author keywords: Quantum discord; Quantum correlations; Tripartite quantum states; Optimization on manifolds
Sources: ORCID, Web Of Science, NC State University Libraries
Added: April 21, 2022

2022 journal article

Quantum separability criteria based on realignment moments

QUANTUM INFORMATION PROCESSING, 21(8).

By: T. Zhang*, N. Jing* & S. Fei*

author keywords: Quantum entanglement; Separability criteria; Partially transposed (PT) moments; Realignment moments
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 29, 2022

2022 journal article

Separability Criteria Based on the Weyl Operators

ENTROPY, 24(8).

By: X. Huang*, T. Zhang*, M. Zhao* & N. Jing n

author keywords: separability; Weyl operators; Bloch representation; correlation matrix; quantum teleportation
Sources: ORCID, Web Of Science, NC State University Libraries
Added: August 3, 2022

2022 article

TWISTED QUANTUM AFFINIZATIONS AND QUANTIZATION OF EXTENDED AFFINE LIE ALGEBRAS

Chen, F., Jing, N., Kong, F., & Tan, S. (2022, October 28). TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Vol. 10.

By: F. Chen*, N. Jing n, F. Kong* & S. Tan*

author keywords: &nbsp; Twisted quantum affinization; extended affine Lie algebra; quantum Kac-Moody algebra; triangular decomposition; Hopf algebra
Sources: Web Of Science, NC State University Libraries
Added: December 5, 2022

2022 journal article

The Green polynomials via vertex operators

JOURNAL OF PURE AND APPLIED ALGEBRA, 226(8).

By: N. Jing n & N. Liu*

author keywords: Green's polynomials; Vertex operators; Hall-Littlewood functions; Hecke algebra
Sources: Web Of Science, NC State University Libraries
Added: May 2, 2022

2022 journal article

Tightening monogamy and polygamy relations of unified entanglement in multipartite systems

QUANTUM INFORMATION PROCESSING, 21(4).

By: M. Zhang*, N. Jing n & H. Zhao*

author keywords: Monogamy; Polygamy; Unified-(q, s) entanglement; Entanglement of formation
Sources: ORCID, Web Of Science, NC State University Libraries
Added: March 31, 2022

2022 journal article

Tighter monogamy relations of entanglement measures based on fidelity

LASER PHYSICS LETTERS, 19(8).

By: M. Zhang & N. Jing*

author keywords: monogamy; Bures measure of entanglement; geometric measure of entanglement; concurrence
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: July 18, 2022

2022 journal article

Two Quantum Proxy Blind Signature Schemes Based on Controlled Quantum Teleportation

ENTROPY, 24(10).

By: Q. Luo*, T. Zhang*, X. Huang* & N. Jing n

author keywords: quantum teleportation; quantum signature; proxy signature; blind signature
TL;DR: This work presents a scheme for teleporting an unknown, two-particle entangled state with a message from a sender (Alice) to a receiver (Bob) via a six-particles entangled channel via a five-qubit cluster state. (via Semantic Scholar)
Sources: ORCID, Web Of Science, NC State University Libraries
Added: October 9, 2022

2021 journal article

(G,χ)-equivariant ϕ-coordinated quasi modules for nonlocal vertex algebras

Journal of Algebra, 570, 24–74.

By: N. Jing n, F. Kong*, H. Li* & S. Tan*

author keywords: Vertex algebra; Nonlocal vertex algebra; phi-coordinated quasi module; Generalized commutator formula; Lattice vertex operator algebra
Source: ORCID
Added: December 1, 2020

2021 journal article

An iterative formula for the Kostka-Foulkes polynomials

JOURNAL OF ALGEBRAIC COMBINATORICS, 54(2), 625–634.

By: T. Bryan* & N. Jing n

author keywords: Kostka-Foulkes polynomials; Jing operators; Hall-Littlewood polynomials
Sources: ORCID, Web Of Science, NC State University Libraries
Added: January 28, 2021

2021 journal article

Fermionic realization of twisted toroidal Lie algebras

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 20(08).

By: N. Jing n, C. Mangum* & K. Misra n

author keywords: Lie algebras; toroidal Lie algebras; Dynkin diagram automorphisms; fermionic realization
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Sources: ORCID, Web Of Science, NC State University Libraries
Added: July 11, 2020

2021 journal article

Poincare Series of Relative Symmetric Invariants for SLn(C)

ALGEBRAS AND REPRESENTATION THEORY, 24(3), 601–623.

By: N. Jing*, D. Wang* & H. Zhang*

author keywords: Symmetric algebra; Poincare series; McKay-Slodowy correspondence; Invariants; Quantum Cartan matrix
Sources: Web Of Science, NC State University Libraries
Added: May 26, 2020

2021 journal article

Twisted toroidal Lie algebras and Moody-Rao-Yokonuma presentation

SCIENCE CHINA-MATHEMATICS, 64(6), 1181–1200.

By: F. Chen*, N. Jing n, F. Kong* & S. Tan*

author keywords: Moody-Rao-Yokonuma presentation; loop algebra; universal central extension; extended affine Lie algebra
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: April 6, 2020

2021 journal article

Vertex representations of quantum N-toroidal algebras for type C

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 20(10).

By: N. Jing n, Z. Xu n & H. Zhang n

author keywords: Quantum N-toroidal algebra; vertex operator; Fock space
Sources: Web Of Science, NC State University Libraries
Added: November 1, 2021

2020 journal article

Correlation functions of charged free boson and fermion systems

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2020(8).

By: N. Jing n, Z. Li* & T. Cai*

author keywords: correlation functions; quantum integrability (Bethe ansatz); algebraic structures of integrable models; bosonisation
Sources: Web Of Science, NC State University Libraries
Added: August 31, 2020

2020 journal article

DRINFELD-TYPE PRESENTATIONS OF LOOP ALGEBRAS

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 373(11), 7713–7753.

By: F. Chen*, N. Jing n, F. Kong* & S. Tan*

author keywords: Drinfeld-type presentation; loop algebra; universal central extension; extended affine Lie algebra; twisted quantum affinization; Gamma-vertex algebra
Sources: Web Of Science, NC State University Libraries
Added: December 21, 2020

2020 journal article

Deformation of Cayley's hyperdeterminants

ELECTRONIC JOURNAL OF COMBINATORICS, 27(2).

By: T. Cai* & N. Jing n

TL;DR: A deformation of Cayley's second hyperdeterminant for even-dimensional hypermatrices is introduced and a generalization of the Jacobi-Trudi formula for Macdonald functions of rectangular shapes is formulated generalizing Matsumoto's formula for Jack functions. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: June 29, 2020

2020 journal article

Isomorphism between the R-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types B and D

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 16.

By: N. Jing*, M. Liu & A. Molev

author keywords: R-matrix presentation; Drinfeld new presentation; universal R-matrix; Gauss decomposition
Sources: Web Of Science, NC State University Libraries
Added: June 8, 2020

2020 journal article

Isomorphism between the R-matrix and Drinfeld presentations of quantum affine algebra: Type C

JOURNAL OF MATHEMATICAL PHYSICS, 61(3).

By: N. Jing n, M. Liu* & A. Molev*

Sources: Web Of Science, ORCID, NC State University Libraries
Added: March 30, 2020

2020 journal article

Poincare series, exponents of affine Lie algebras, and McKay-Slodowy correspondence

JOURNAL OF ALGEBRA, 546, 135–162.

By: N. Jing n, D. Wang* & H. Zhang*

author keywords: Poincare series; Tensor algebras; Invariants; McKay-Slodowy correspondence
Sources: Web Of Science, ORCID, NC State University Libraries
Added: February 27, 2020

2020 journal article

Quantum Discord of Certain Two-Qubit States

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 59(2), 415–425.

By: J. Zhou*, X. Hu* & N. Jing n

author keywords: Quantum discord; Quantum correlations; Bipartite quantum states; Optimization on manifolds
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: April 20, 2020

2020 journal article

Representations of Quantum Affine Algebras in their R-Matrix Realization

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 16.

By: N. Jing n, M. Liu* & A. Molev*

author keywords: R-matrix presentation; Drinfeld polynomials; highest weight representation; Gauss decomposition
Sources: Web Of Science, NC State University Libraries
Added: February 1, 2021

2020 journal article

Separability criteria based on Bloch representation of density matrices

QUANTUM INFORMATION PROCESSING, 19(1).

By: H. Zhao*, M. Zhang*, N. Jing n & Z. Wang*

author keywords: Separability; Bloch vector; Entanglement
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: February 17, 2020

2020 journal article

Tau functions of the charged free bosons

SCIENCE CHINA-MATHEMATICS, 63(11), 2157–2176.

By: N. Jing* & Z. Li*

author keywords: tau functions; boson-boson correspondence; vertex operator algebras; symmetric functions
Sources: Web Of Science, NC State University Libraries
Added: August 17, 2020

2020 journal article

Time optimal control based on classification of quantum gates

QUANTUM INFORMATION PROCESSING, 19(3).

By: B. Sun*, S. Fei*, N. Jing n & X. Li-Jost*

author keywords: Time optimal control; Local unitary invariants; Two-qubit gates; Cartan decomposition
Sources: Web Of Science, NC State University Libraries
Added: February 27, 2020

2020 journal article

Uncertainty relations based on Wigner-Yanase skew information

COMMUNICATIONS IN THEORETICAL PHYSICS, 72(7).

By: X. Huang*, T. Zhang* & N. Jing n

author keywords: uncertainty relations; skew information; entanglement
TL;DR: This paper uses certain norm inequalities to obtain new uncertain relations based on the Wigner–Yanase skew information for an arbitrary finite number of observables and proposes new weighted uncertainty relations for two noncompatible observables. (via Semantic Scholar)
UN Sustainable Development Goal Categories
10. Reduced Inequalities (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: July 13, 2020

2020 journal article

Yangian doubles of classical types and their vertex representations

Journal of Mathematical Physics.

By: N. Jing n, F. Yang* & M. Liu*

Source: ORCID
Added: May 23, 2020

2019 journal article

Detection of Genuine Multipartite Entanglement in Multipartite Systems

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 58(10), 3181–3191.

By: J. Zhao*, H. Zhao*, N. Jing n & S. Fei*

author keywords: Genuine multipartite entanglement; Correlation tensor
TL;DR: An analytical and sufficient criterion for detecting the genuine four-partite entanglement is presented and the results are generalized to arbitrary multipartite systems. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: October 14, 2019

2019 journal article

Distribution of spin correlation strengths in multipartite systems

QUANTUM INFORMATION PROCESSING, 18(11).

By: B. Yu*, N. Jing n & X. Li-Jost*

TL;DR: It is shown that the sum of relative isotropic strengths of any three-qudit state over d-dimensional Hilbert space cannot exceed d-1, which generalizes the case d=2, and the bounds of spin correlation strengths among different subsystems of a quadripartite state are used to analyze quantum entanglement. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, ORCID, NC State University Libraries
Added: October 14, 2019

2019 journal article

Incompatibility of observables as state-independent bound of uncertainty relations

PHYSICAL REVIEW A, 100(3).

UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: October 14, 2019

2019 journal article

LOCC Distinguishable Orthogonal Product States with Least Entanglement Resource

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 58(8), 2497–2509.

By: H. Li*, X. Tang*, N. Jing n & Z. Gu*

author keywords: Entangled states; Orthogonal product states; Distinguishability
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 5, 2019

2019 journal article

ON FUSION PROCEDURE FOR THE TWO-PARAMETER QUANTUM ALGEBRA IN TYPE A

BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 14(1), 15–29.

By: N. Jing n & M. Liu*

author keywords: Two-parameter quantum groups; fusion procedure; Schur-Weyl duality
Sources: Web Of Science, NC State University Libraries
Added: April 20, 2020

2019 journal article

On multivariable Zassenhaus formula

FRONTIERS OF MATHEMATICS IN CHINA, 14(2), 421–433.

By: L. Wang*, Y. Gao* & N. Jing*

author keywords: Baker-Campbell-Hausdorff formula; Zassenhaus formula
Sources: Web Of Science, NC State University Libraries
Added: May 6, 2019

2019 journal article

Quantum Circuit Realization of Morphological Gradient for Quantum Grayscale Image

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 58(2), 415–435.

By: P. Fan*, R. Zhou*, W. Hu* & N. Jing n

author keywords: Quantum morphological gradient; Quantum dilation; Quantum erosion; Quantum circuit
TL;DR: The flat grayscale dilation and erosion operations are proposed for NEQR quantum image model and through combining these two morphology operations, the morphological gradient operation is further realized. (via Semantic Scholar)
UN Sustainable Development Goal Categories
13. Climate Action (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: February 11, 2019

2019 journal article

Quantum image edge extraction based on Laplacian operator and zero-cross method

Quantum Information Processing, 18(1).

By: P. Fan*, R. Zhou*, W. Hu* & N. Jing n

author keywords: Quantum image processing; Edge detection; Laplacian operator; Zero-cross method
TL;DR: The circuit complexity analysis demonstrates that the presented quantum image edge algorithm can reach a significant and exponential speedup compared to classical counterparts, which would resolve the real-time problem of image edge extraction in practice image processing. (via Semantic Scholar)
Sources: Crossref, NC State University Libraries
Added: November 20, 2020

2019 journal article

Quantum image edge extraction based on classical Sobel operator for NEQR

QUANTUM INFORMATION PROCESSING, 18(1).

By: P. Fan*, R. Zhou*, W. Hu* & N. Jing n

author keywords: Quantum image processing; Edge detection; Sobel operator; Real-time problem
TL;DR: This paper demonstrates that the proposed scheme can extract edges in the computational complexity of O(n2+2q+4) and reaches a significant and exponential speedup, which would resolve the real-time problem of image edge extraction in practice image processing. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: December 17, 2018

2019 journal article

Strong unitary uncertainty relations

PHYSICAL REVIEW A, 100(2).

By: B. Yu*, N. Jing n & X. Li-Jost*

UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 26, 2019

2019 journal article

h-Adic quantum vertex algebras associated with rational R-matrix in types B, C and D

LETTERS IN MATHEMATICAL PHYSICS, 109(11), 2439–2471.

By: M. Butorac*, N. Jing n & S. Kozic*

author keywords: Quantum vertex algebra; Double Yangian; Center at the critical level
Sources: Web Of Science, NC State University Libraries
Added: November 4, 2019

2018 journal article

Bosonic vertex representations of the toroidal superalgebras in type D(m, n)

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 17(3).

By: N. Jing n & C. Xu*

author keywords: Toroidal Lie superalgebra; vertex operators; free fields
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2018 article

Capelli identity on multiparameter quantum linear groups

Jing, N., & Zhang, J. (2018, February). SCIENCE CHINA-MATHEMATICS, Vol. 61, pp. 253–268.

By: N. Jing n & J. Zhang*

author keywords: multiparameter quantum groups; q-determinants; quasi-center; Capelli identity; q-Pfaffians; q-hyper-Pfaffians
UN Sustainable Development Goal Categories
10. Reduced Inequalities (Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2018 journal article

Center of the quantum affine vertex algebra in type A

JOURNAL OF ALGEBRA, 496, 138–186.

By: N. Jing*, S. Kozic, A. Molev & F. Yang

author keywords: Quantum vertex algebra; Double Yangian; Center at the critical level
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2018 journal article

Distinguishing multipartite orthogonal product states by LOCC with entanglement as a resource

Quantum Information Processing, 17(8).

By: H. Li*, N. Jing* & X. Tang*

TL;DR: A protocol is presented that distinguishes perfectly these quantum states by LOCC using an entangled state as a resource for implementing quantum measurements. (via Semantic Scholar)
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018

2018 journal article

From Frobenius character formula to vertex operators

SCIENTIA SINICA Mathematica, 48(11), 1717.

Source: ORCID
Added: April 23, 2020

2018 journal article

Isomorphism Between the R-Matrix and Drinfeld Presentations of Yangian in Types B, C and D

Communications in Mathematical Physics, 361(3), 827–872.

By: N. Jing n, M. Liu* & A. Molev*

Sources: Crossref, NC State University Libraries
Added: February 24, 2020

2018 journal article

Multipartite Separability of Density Matrices of Graphs

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 57(10), 3112–3126.

By: H. Zhao*, J. Zhao* & N. Jing n

author keywords: Laplacian matrices; Partially symmetric; Degree symmetric; Separability
Sources: Web Of Science, ORCID, NC State University Libraries
Added: October 16, 2018

2018 book

Representations of Lie algebras, quantum groups and related topics

In American Mathematical Society.

Naihuan Jing

Source: ORCID
Added: April 23, 2020

2018 journal article

Twisted quantum affinizations and their vertex representations

Journal of Mathematical Physics, 59(8), 081701.

By: F. Chen*, N. Jing n, F. Kong* & S. Tan*

Sources: Crossref, NC State University Libraries
Added: February 24, 2020

2017 journal article

ON PRINCIPAL REALIZATION OF MODULES FOR THE AFFINE LIE ALGEBRA A(1)((1)) AT THE CRITICAL LEVEL

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 369(7), 5113–5136.

By: D. Adamovic, N. Jing & K. Misra

author keywords: Vertex superalgebras; affine Lie algebras; Clifford algebras; Weyl algebra; lattice vertex operator algebras; critical level; Z-algebras
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2017 journal article

Quantum hyperdeterminants and hyper-Pfaffians

MATHEMATISCHE ZEITSCHRIFT, 287(3-4), 897–914.

By: N. Jing n & J. Zhang*

author keywords: Quantum hyperdeterminants; Cayley's hyperdeterminant; Quantum hyper-Pfaffians; q-Forms; Quantum monoids
UN Sustainable Development Goal Categories
10. Reduced Inequalities (Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2017 journal article

R-matrix realization of two-parameter quantum affine algebra U-r,U-s(<(gl(n))over cap>)

JOURNAL OF ALGEBRA, 488, 1–28.

By: N. Jing n & M. Liu*

author keywords: Drinfeld realization; RTT formulation; Quantum affine algebras; Gauss decomposition
UN Sustainable Development Goal Categories
10. Reduced Inequalities (Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2017 journal article

Spin characters of hyperoctahedral wreath products

JOURNAL OF PURE AND APPLIED ALGEBRA, 221(9), 2220–2235.

By: X. Hu* & N. Jing n

Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2017 journal article

Super quantum discord for general two qubit X states

QUANTUM INFORMATION PROCESSING, 16(4).

By: N. Jing n & B. Yu*

author keywords: Super quantum discord; Quantum correlation; General X states; Weak measurement
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2017 journal article

Uncertainty under quantum measures and quantum memory

QUANTUM INFORMATION PROCESSING, 16(4).

By: Y. Xiao*, N. Jing n & X. Li-Jost*

author keywords: Entropic uncertainty relations; Quantum memory; Quantum side information
TL;DR: The entropic uncertainty relations for two and multiple measurements are investigated and the lower bounds on the sum of Shannon entropies without quantum side information to those that allow quantum memory are generalized. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2017 journal article

Unextendible Maximally Entangled Bases and Mutually Unbiased Bases in Multipartite Systems

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 56(11), 3425–3430.

By: Y. Zhang*, H. Zhao*, N. Jing n & S. Fei*

author keywords: Unextendible maximally entangled bases; Mutually unbiased bases; Multipartite quantum systems
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2016 journal article

An upper bound of fully entangled fraction of mixed states

Communications in Theoretical Physics, 65(6), 701–704.

By: X. Huang*, N. Jing n & T. Zhang*

Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018

2016 journal article

Construction of bound entangled states based on permutation operators

QUANTUM INFORMATION PROCESSING, 15(4), 1529–1538.

By: H. Zhao*, S. Guo*, N. Jing n & S. Fei*

author keywords: Bound entanglement; Positive partial transpose; Range criterion; Local unitary equivalent
TL;DR: It is shown that the derived bound entangledStates are not local unitary equivalent to the original bound entangled states by detail examples. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2016 journal article

Drinfeld Realization of Quantum Twisted Affine Algebras via Braid Group

ADVANCES IN MATHEMATICAL PHYSICS, 2016.

By: N. Jing n & H. Zhang*

Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2016 journal article

Enhanced Information Exclusion Relations

SCIENTIFIC REPORTS, 6.

By: Y. Xiao*, N. Jing n & X. Li-Jost*

TL;DR: New bounds for the information exclusion relation are presented using majorization theory and combinatoric techniques, which reveal further characteristic properties of the overlap matrix between the measurements. (via Semantic Scholar)
UN Sustainable Development Goal Categories
10. Reduced Inequalities (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2016 journal article

Geometric transformations of multidimensional color images based on NASS

INFORMATION SCIENCES, 340, 191–208.

By: P. Fan n, R. Zhou*, N. Jing n & H. Li*

author keywords: Geometric transformations; Quantum image processing; Quantum circuits; Quantum computing
TL;DR: Complexity analysis shows that the global operators (symmetric flips, local flips, orthogonal rotations) can be implemented with O(n) gates. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2016 journal article

Higher Sugawara Operators for the Quantum Affine Algebras of Type A

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 345(2), 631–657.

By: L. Frappat*, N. Jing*, A. Molev* & E. Ragoucy*

Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2016 journal article

Improved uncertainty relation in the presence of quantum memory

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 49(49).

By: Y. Xiao*, N. Jing n, S. Fei* & X. Li-Jost*

author keywords: uncertainty relations; entropy; quantum memory
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2016 journal article

Local unitary equivalence of quantum states and simultaneous orthogonal equivalence

JOURNAL OF MATHEMATICAL PHYSICS, 57(6).

By: N. Jing n, M. Yang n & H. Zhao*

Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2016 journal article

Modules for double affine Lie algebras

FRONTIERS OF MATHEMATICS IN CHINA, 11(1), 89–108.

By: N. Jing* & C. Wang*

Contributors: N. Jing* & C. Wang*

author keywords: Double affine Lie algebra; Verma module; irreducibility; Weyl module
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2016 journal article

Mutually Exclusive Uncertainty Relations

SCIENTIFIC REPORTS, 6.

By: Y. Xiao* & N. Jing*

TL;DR: This work investigates the role of mutual exclusive physical states in the recent work of stronger uncertainty relations for all incompatible observables by Mccone and Pati and generalizes the weighted uncertainty relation to the product form as well as their multi-observable analogues. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2016 journal article

On finite-dimensional representations of two-parameter quantum affine algebras

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 15(3).

By: N. Jing n & H. Zhang*

Contributors: N. Jing n & H. Zhang*

author keywords: Two-parameter quantum affine algebra; Drinfeld realization; evaluation representation; finite-dimensional representation
UN Sustainable Development Goal Categories
10. Reduced Inequalities (Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2016 journal article

Optimal Universal Uncertainty Relations

SCIENTIFIC REPORTS, 6.

By: T. Li*, Y. Xiao*, T. Ma*, S. Fei*, N. Jing*, X. Li-Jost*, Z. Wang*

TL;DR: This paper illustrates its bounds by showing how they provide a complement to that in [Phys. Rev. Lett. 89, 052115 (2014)], and gives rise to state independent uncertainty relations satisfied by any nonnegative Schur-concave functions. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2016 journal article

Quantum Permanents and Hafnians via Pfaffians

LETTERS IN MATHEMATICAL PHYSICS, 106(10), 1451–1464.

By: N. Jing n & J. Zhang*

author keywords: q-determinant; q-permanent; q-Pfaffian; q-Hafnian; Hopf algebras
UN Sustainable Development Goal Categories
10. Reduced Inequalities (Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2016 journal article

Quantum discord of X-states as optimization of a one variable function

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 49(38).

By: N. Jing n & B. Yu*

author keywords: quantum discord; quantum correlation; optimization; von Neumann measures
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2016 journal article

Rota-Baxter operators on Witt and Virasoro algebras

JOURNAL OF GEOMETRY AND PHYSICS, 108, 1–20.

By: X. Gao*, M. Liu*, C. Bai* & N. Jing n

author keywords: Rota-Baxter operator; Witt algebra; Virasoro algebra; Pre-Lie algebra; PostLie algebra
UN Sustainable Development Goal Categories
4. Quality Education (Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2016 journal article

Strong entropic uncertainty relations for multiple measurements

PHYSICAL REVIEW A, 93(4).

By: Y. Xiao*, N. Jing n, S. Fei*, T. Li*, X. Li-Jost*, T. Ma*, Z. Wang*

TL;DR: Several tighter bounds for multimeasurements are provided, with some of them also valid for R\'enyi and Tsallis entropies besides the Shannon entropy, and majorization theory and actions of the symmetric group are employed. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2016 journal article

Two-parameter twisted quantum affine algebras

JOURNAL OF MATHEMATICAL PHYSICS, 57(9).

By: N. Jing n & H. Zhang*

Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2016 journal article

Uniform Entanglement Frames

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 55(8), 3492–3505.

By: Y. Xiao*, N. Jing*, X. Li-Jost* & S. Fei*

author keywords: Entanglement detector; Genuine entanglement; Majorization; Universal uncertainty relations
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2016 journal article

Vertex Operators Arising from Jacobi-Trudi Identities

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 346(2), 679–701.

By: N. Jing n & N. Rozhkovskaya*

Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2016 journal article

Weighted Uncertainty Relations

SCIENTIFIC REPORTS, 6.

By: Y. Xiao*, N. Jing*, X. Li-Jost* & S. Fei*

TL;DR: A family of weighted uncertainty relations is derived to provide an optimal lower bound for all situations and remove the restriction on the quantum state and generalization to multi-observable cases is given. (via Semantic Scholar)
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2015 journal article

A lift of Schur's Q-functions to the peak algebra

JOURNAL OF COMBINATORIAL THEORY SERIES A, 135, 268–290.

By: N. Jing n & Y. Li*

Contributors: N. Jing n & Y. Li*

author keywords: Peak algebra; Noncommutative Schur Q-functions; Quasisymmetric Schur P-functions
TL;DR: A lift of Schur's Q-functions to the peak algebra of the symmetric group is constructed, called the noncommutative Schur Q-Functions, and from them a new natural basis is extracted with several nice properties such as the positive right-Pieri rule, combinatorial expansion, etc. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2015 journal article

Bound entanglement and distillability of multipartite quantum systems

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 13(5).

By: H. Zhao*, X. Yu* & N. Jing n

Contributors: H. Zhao*, X. Yu* & N. Jing n

author keywords: Bound entanglement; distillability
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2015 journal article

Comment on "One-way deficit of two qubit X states"

QUANTUM INFORMATION PROCESSING, 14(12), 4511–4521.

By: N. Jing n, X. Zhang* & Y. Wang*

author keywords: Quantum discord; One-way information deficit; Quantum information
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2015 journal article

Irreducible projective characters of wreath products

Proceedings of the American Mathematical Society, 143(3), 1015–1026.

By: X. Hu* & N. Jing n

Contributors: X. Hu* & N. Jing n

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2015 journal article

Local unitary invariants of generic multiqubit states

PHYSICAL REVIEW A, 92(2).

By: N. Jing n, S. Fei*, M. Li*, X. Li-Jost* & T. Zhang*

Contributors: N. Jing n, S. Fei*, M. Li*, X. Li-Jost* & T. Zhang*

Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2015 article

Modular Macdonald functions and generalized Newton's identity

Cai, T. W., Jing, N., & Zhang, J. (2015, November 15). JOURNAL OF ALGEBRA, Vol. 442, pp. 124–136.

By: T. Cai*, N. Jing n & J. Zhang*

Contributors: T. Cai*, N. Jing n & J. Zhang*

author keywords: Newton's identities; Macdonald functions; Modular Hall-Littlewood polynomials; Vertex operators
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2015 journal article

One-way deficit of two-qubit X states

QUANTUM INFORMATION PROCESSING, 14(7), 2487–2497.

By: Y. Wang*, N. Jing*, S. Fei*, Z. Wang*, J. Cao* & H. Fan*

Contributors: Y. Wang*, N. Jing*, S. Fei*, Z. Wang*, J. Cao* & H. Fan*

author keywords: One-way deficit; Concurrence; Phase flip channel
TL;DR: It is shown that the one-way deficit of the $$X$$X states with five parameters is more robust against decoherence than entanglement. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2015 book

Reversible logic circuits

In Nova Science Publishers.

Naihuan Jing

Source: ORCID
Added: April 23, 2020

2015 journal article

The shifted Poirier-Reutenauer algebra

MATHEMATISCHE ZEITSCHRIFT, 281(3-4), 611–629.

By: N. Jing n & Y. Li*

Contributors: N. Jing n & Y. Li*

author keywords: Shifted Poirier-Reutenauer algebra; Schur's P-function; Peak subalgebra
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2015 journal article

Twisted Vertex Operators and Unitary Lie Algebras

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 67(3), 573–596.

By: F. Chen, Y. Gao*, N. Jing n & S. Tan

author keywords: Lie algebra; vertex operator; representation theory
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2015 journal article

Unitary and orthogonal equivalence of sets of matrices

LINEAR ALGEBRA AND ITS APPLICATIONS, 481, 235–242.

By: N. Jing n

Contributors: N. Jing n

author keywords: Simultaneous unitary equivalence; Simultaneous similarity; Simultaneous orthogonal equivalence; Congruence
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2015 journal article

Vertex Operators,Weyl Determinant Formulae and Littlewood Duality

ANNALS OF COMBINATORICS, 19(3), 427–442.

By: N. Jing n & B. Nie*

Contributors: N. Jing n & B. Nie*

author keywords: Weyl character formulae; vertex operators; symplectic/orthogonal Schur functions
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2015 journal article

Vertex Representations of Toroidal Special Linear Lie Superalgebras

CHINESE ANNALS OF MATHEMATICS SERIES B, 36(3), 427–436.

By: N. Jing* & C. Xu*

author keywords: Toroidal Lie superalgebras; Vertex operators; Free fields
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2014 journal article

A generalization of Newton's identity and Macdonald functions

JOURNAL OF COMBINATORIAL THEORY SERIES A, 125(1), 342–356.

By: T. Cai* & N. Jing n

Contributors: T. Cai* & N. Jing n

author keywords: Newton identities; Macdonald polynomials; Vertex operators
TL;DR: A unified method is given to show the existence of Jack and Macdonald polynomials using the generalized Newton identity and a simple proof of the Jing–Jozefiak formula for two-row Macdonald functions is given. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2014 journal article

Jack vertex operators and realization of Jack functions

JOURNAL OF ALGEBRAIC COMBINATORICS, 39(1), 53–74.

By: T. Cai* & N. Jing n

Contributors: T. Cai* & N. Jing n

author keywords: Symmetric functions; Jack polynomials; Vertex operators
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2014 journal article

LIE SUPERALGEBRAS ARISING FROM BOSONIC REPRESENTATION

COMMUNICATIONS IN ALGEBRA, 42(1), 259–270.

By: N. Jing n & C. Xu*

Contributors: N. Jing n & C. Xu*

author keywords: Bosonic fields; Realization; Toroidal Lie superalgebra; Primary 17B60; 17B67; 17B69; Secondary 17A45; 81R10
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2014 journal article

Local unitary equivalence of multiqubit mixed quantum states

PHYSICAL REVIEW A, 89(6).

By: M. Li*, T. Zhang*, S. Fei*, X. Li-Jost* & N. Jing n

Contributors: M. Li*, T. Zhang*, S. Fei*, X. Li-Jost* & N. Jing n

Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2014 journal article

Quantum Pfaffians and hyper-Pfaffians

ADVANCES IN MATHEMATICS, 265, 336–361.

By: N. Jing n & J. Zhang*

Contributors: N. Jing n & J. Zhang*

author keywords: Quantum Pfaffians; q-Forms; Quantum determinants
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2014 journal article

R-Matrix Realization of Two-Parameter Quantum Group Ur,s(gln)

Communications in Mathematics and Statistics, 2(3-4), 211–230.

By: N. Jing n & M. Liu*

author keywords: Quantum groups; Determinants; Casimir elements; Yang-Baxter equations
Sources: Crossref, NC State University Libraries
Added: November 20, 2020

2014 journal article

REALIZATION OF (sl)over-cap(2)(C) AT THE CRITICAL LEVEL

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 16(2).

By: J. Dunbar*, N. Jing n & K. Misra n

Contributors: J. Dunbar*, N. Jing n & K. Misra n

author keywords: Affine Lie algebras; critical level; bosons; parafermions
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2014 article

Realizations of Affine Lie Algebra A(1)((1)) at Negative Levels

ALGEBRA, GEOMETRY AND MATHEMATICAL PHYSICS (AGMP), Vol. 85, pp. 603–616.

By: J. Dong* & N. Jing n

Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2014 journal article

SLOCC invariants for multipartite mixed states

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 47(21).

By: N. Jing n, M. Li*, X. Li-Jost*, T. Zhang* & S. Fei*

Contributors: N. Jing n, M. Li*, X. Li-Jost*, T. Zhang* & S. Fei*

author keywords: SLOCC-invariants; local unitary equivalent; hyperdeterminants
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2014 journal article

Spin characters of generalized symmetric groups

MONATSHEFTE FUR MATHEMATIK, 173(4), 495–518.

By: X. Hu* & N. Jing*

Contributors: X. Hu* & N. Jing*

author keywords: Wreath products; Spin groups; Projective characters
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2014 journal article

Twisted Quantum Toroidal Algebras T-q(-)(g)

LETTERS IN MATHEMATICAL PHYSICS, 104(9), 1137–1145.

By: N. Jing n & R. Liu*

Contributors: N. Jing n & R. Liu*

author keywords: quantum algebras; toroidal algebras; vertex operators; Serre relations
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2013 journal article

A note on state decomposition independent local invariants

EUROPEAN PHYSICAL JOURNAL D, 67(8).

By: T. Zhang*, N. Jing n, X. Li-Jost*, M. Zhao* & S. Fei*

Contributors: T. Zhang*, N. Jing n, X. Li-Jost*, M. Zhao* & S. Fei*

Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2013 journal article

A twisted quantum toroidal algebra

FRONTIERS OF MATHEMATICS IN CHINA, 8(5), 1117–1128.

By: N. Jing n & R. Liu*

Contributors: N. Jing n & R. Liu*

author keywords: Vertex operator; toroidal algebra; quantum algebra
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2013 journal article

Generalized Bell states and principal realization of the Yangian Y(sl(N))

JOURNAL OF MATHEMATICAL PHYSICS, 54(2).

By: M. Liu*, C. Bai*, M. Ge* & N. Jing n

Contributors: M. Liu*, C. Bai*, M. Ge* & N. Jing n

Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2013 journal article

Generalized McKay quivers of rank three

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 29(7), 1351–1368.

By: X. Hu n, N. Jing & W. Cai*

Contributors: X. Hu n, N. Jing & W. Cai*

author keywords: McKay correspondence; McKay quivers; generalized Dynkin diagrams
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2013 journal article

Isomorphism between two realizations of the Yangian Y(so(3))

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 46(7).

By: N. Jing n & M. Liu*

Contributors: N. Jing n & M. Liu*

Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2013 journal article

Separable State Decompositions for a Class of Mixed States

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 52(11), 4148–4154.

By: T. Zhang*, X. Huang*, X. Li-Jost*, N. Jing n & S. Fei*

Contributors: T. Zhang*, X. Huang*, X. Li-Jost*, N. Jing n & S. Fei*

author keywords: Quantum state; PPT; Separability
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2012 journal article

Applications of a Laplace–Beltrami operator for Jack polynomials

European Journal of Combinatorics, 33(4), 556–571.

By: W. Cai* & N. Jing n

Contributors: W. Cai* & N. Jing n

TL;DR: A new method is used to study the Laplace-Beltrami type operator on the Fock space of symmetric functions, and it is shown that the Jack symmetrical functions are the only family of eigenvectors of the differential operator. (via Semantic Scholar)
Sources: ORCID, Crossref, NC State University Libraries
Added: April 23, 2020

2012 journal article

CODES AND SHIFTED CODES

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 22(6).

By: J. Hird*, N. Jing n & E. Stitzinger n

Contributors: J. Hird*, N. Jing n & E. Stitzinger n

author keywords: Codes; tableaux; Schur functions; Bernstein operators
TL;DR: A new combinatorial model of extended codes is defined and a new algebraic structure provides a natural setting for Schur functions indexed by compositions. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2012 journal article

Lie triple derivation algebra of Virasoro-like algebra

Bulletin of the Iranian Mathematical Society, 38(1), 17–26. http://www.scopus.com/inward/record.url?eid=2-s2.0-84865502717&partnerID=MN8TOARS

By: H. Wang, N. Jing & Q. Li

Contributors: H. Wang, N. Jing & Q. Li

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2012 journal article

Local unitary equivalence of arbitrary dimensional bipartite quantum states

PHYSICAL REVIEW A, 86(1).

By: C. Zhou*, T. Zhang*, S. Fei*, N. Jing n & X. Li-Jost*

Contributors: C. Zhou*, T. Zhang*, S. Fei*, N. Jing n & X. Li-Jost*

UN Sustainable Development Goal Categories
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2012 article

On Classes of Local Unitary Transformations

Jing, N. (2012, June). ALGEBRA COLLOQUIUM, Vol. 19, pp. 283–292.

By: N. Jing n

author keywords: group theory; quantum computation; induced representations
Source: Web Of Science
Added: August 6, 2018

2012 journal article

On classes of local unitary transformations

Algebra Colloquium, 19(2), 283–292. http://www.scopus.com/inward/record.url?eid=2-s2.0-84859558364&partnerID=MN8TOARS

By: N. Jing

Contributors: N. Jing

Source: ORCID
Added: April 23, 2020

2012 journal article

Preface

Algebra Colloquium, 19(2). http://www.scopus.com/inward/record.url?eid=2-s2.0-84859529475&partnerID=MN8TOARS

By: J. Zhang & N. Jing

Contributors: J. Zhang & N. Jing

Source: ORCID
Added: April 23, 2020

2012 journal article

Principal Realization of Twisted Yangian

LETTERS IN MATHEMATICAL PHYSICS, 102(1), 91–105.

By: N. Jing n & M. Liu*

Contributors: N. Jing n & M. Liu*

author keywords: Yangians; principal realization
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2012 book

Quantized algebra and physics

In World Scientific Publishing Co. Pte. Ltd.

Naihuan Jing

Source: ORCID
Added: April 23, 2020

2011 journal article

A Quantized Tits-Kantor-Koecher Algebra

ALGEBRAS AND REPRESENTATION THEORY, 14(3), 589–599.

By: Y. Gao* & N. Jing n

Contributors: Y. Gao* & N. Jing n

author keywords: Quantum group; Jordan torus; TKK algebra; Vertex operators
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2011 journal article

CODES AND SHIFTED CODES OF PARTITIONS

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 21(8), 1447–1462.

By: J. Hird n, N. Jing n & E. Stitzinger n

Contributors: J. Hird n, N. Jing n & E. Stitzinger n

author keywords: Codes; Schur function; Littlewood-Richardson rule
TL;DR: It is shown that this identity of the Bernstein operators is a straightforward consequence of the classical result and how a similar approach using the codes of partitions can be generalized from Schur functions to also include Schur Q-functions and derive the combinatorial formulation for both cases. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2011 journal article

TWO-PARAMETER QUANTUM VERTEX REPRESENTATIONS VIA FINITE GROUPS AND THE MCKAY CORRESPONDENCE

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 363(7), 3769–3797.

By: N. Jing n & H. Zhang*

Contributors: N. Jing n & H. Zhang*

author keywords: Two-parameter quantum affine algebra; finite groups; wreath products; McKay correspondence
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2010 journal article

A Quantized Tits-Kantor-Koecher Algebra

ALGEBRAS AND REPRESENTATION THEORY, 13(2), 207–217.

By: Y. Gao* & N. Jing n

Contributors: Y. Gao* & N. Jing n

author keywords: Quantum analogue; Tits-Kantor-Koecher algebra; Jordan torus
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2010 journal article

ADDENDUM TO "DRINFELD REALIZATION OF TWISTED QUANTUM AFFINE ALGEBRAS"

COMMUNICATIONS IN ALGEBRA, 38(9), 3484–3488.

By: N. Jing n & H. Zhang*

Contributors: N. Jing n & H. Zhang*

author keywords: Drinfield realization; Quantum affine algebras
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2010 journal article

Fermionic realization of toroidal Lie algebras of classical types

JOURNAL OF ALGEBRA, 324(2), 183–194.

By: N. Jing n & K. Misra n

Contributors: N. Jing n & K. Misra n

author keywords: Clifford algebras; Vertex operators; Toroidal Lie algebras
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2010 journal article

On vertex operator realizations of Jack functions

JOURNAL OF ALGEBRAIC COMBINATORICS, 32(4), 579–595.

By: W. Cai* & N. Jing n

Contributors: W. Cai* & N. Jing n

author keywords: Symmetric functions; Jack polynomials; Vertex operators
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2010 book

Quantum affine algebras, extended affine Lie algebras, and their applications

In American Mathematical Society.

Naihuan Jing

Source: ORCID
Added: April 23, 2020

2010 journal article

Quantum information and entanglement

Advances in Mathematical Physics.

By: S. Fei*, S. Albeverio*, A. Cabello*, N. Jing n & D. Goswami*

Contributors: S. Fei*, S. Albeverio*, A. Cabello*, N. Jing n & D. Goswami*

Source: ORCID
Added: April 23, 2020

2009 journal article

BOSONIC REALIZATION OF TOROIDAL LIE ALGEBRAS OF CLASSICAL TYPES

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 137(11), 3609–3618.

By: N. Jing n, K. Misra n & C. Xu*

Contributors: N. Jing n, K. Misra n & C. Xu*

author keywords: Toroidal algebras; Weyl algebras; vertex operators; representations
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2009 journal article

Fermionic Realization of Two-Parameter Quantum Affine Algebra Ur,s((sln) over cap)

LETTERS IN MATHEMATICAL PHYSICS, 89(2), 159–170.

By: N. Jing n & H. Zhang*

Contributors: N. Jing n & H. Zhang*

author keywords: two-parameter quantum affine algebra; Young diagram; Fock space; fermionic realization
UN Sustainable Development Goal Categories
10. Reduced Inequalities (Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2009 journal article

Principal realization of the Yangian Y(gl,(n))

JOURNAL OF MATHEMATICAL PHYSICS, 50(1).

By: C. Bai*, M. Ge* & N. Jing n

Contributors: C. Bai*, M. Ge* & N. Jing n

Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2008 journal article

Quantum algebras associated with Bell states

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 41(5).

By: Y. Zhang*, N. Jing n & M. Ge*

Contributors: Y. Zhang*, N. Jing n & M. Ge*

Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2008 journal article

Separability of multi-partite quantum states

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 41(39).

By: X. Huang* & N. Jing n

Contributors: X. Huang* & N. Jing n

Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2007 journal article

Affine Lie algebras and product-sum identities

JOURNAL OF ALGEBRA, 314(2), 538–552.

By: N. Jing n & L. Xia*

Contributors: N. Jing n & L. Xia*

author keywords: Affine Lie algebras; character formulas; quintuple product identity; vertex operators
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2007 journal article

Drinfeld realization of twisted quantum affine algebras

COMMUNICATIONS IN ALGEBRA, 35(11), 3683–3698.

By: H. Zhang* & N. Jing n

Contributors: H. Zhang* & N. Jing n

author keywords: adjoint actions; drinfeld realization; quantum affine algebras
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2006 journal article

Hermitian tensor product approximation of complex matrices and separability

REPORTS ON MATHEMATICAL PHYSICS, 57(2), 271–288.

By: S. Fei*, N. Jing n & B. Sun*

Contributors: S. Fei*, N. Jing n & B. Suna*

author keywords: separability; matrix; tensor product decomposition
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2005 journal article

Bosonic realizations of higher-level toroidal Lie algebras

PACIFIC JOURNAL OF MATHEMATICS, 219(2), 285–301.

By: N. Jing*, K. Misra & S. Tan

Contributors: N. Jing*, K. Misra & S. Tan

author keywords: toroidal Lie algebra; vertex operator; bosonic realization
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2005 journal article

Equivalence of quantum states under local unitary transformations

PHYSICS LETTERS A, 342(1-2), 77–81.

By: S. Fei & N. Jing*

Contributors: S. Fei & N. Jing*

author keywords: local unitary transformation; quantum states; tensor decomposable
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2004 journal article

U-q (gl(N)) action on gl(N)-modules and quantum toroidal algebras

JOURNAL OF ALGEBRA, 273(1), 320–343.

By: Y. Gao* & N. Jing n

Contributors: Y. Gao* & N. Jing n

Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2004 journal article

Vertex Representations and McKay Correspondence

Algebra Colloquium, 11(1), 53–70. http://www.scopus.com/inward/record.url?eid=2-s2.0-1842528779&partnerID=MN8TOARS

By: N. Jing

Contributors: N. Jing

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2003 book

Algebraic combinatorics and quantum groups

In World Scientific Publishing Co., Inc.

Naihuan Jing

Source: ORCID
Added: April 23, 2020

2002 journal article

Twisted vertex representations and spin characters

MATHEMATISCHE ZEITSCHRIFT, 239(4), 715–746.

By: N. Jing n & W. Wang n

Contributors: N. Jing n & W. Wang n

Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2002 journal article

Twisted vertex representations via spin groups and the McKay correspondence

Duke Mathematical Journal, 111(1), 51–96.

By: I. Frenkel, N. Jing* & W. Wang*

Contributors: I. Frenkel, N. Jing* & W. Wang*

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2001 journal article

BRST resolution for the principally graded Wakimoto module of (sl)over-cap(2)

LETTERS IN MATHEMATICAL PHYSICS, 58(3), 181–188.

By: Y. Hara n, N. Jing n & K. Misra n

Contributors: Y. Hara n, N. Jing n & K. Misra n

author keywords: affine Lie algebra; Wakimoto module
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2001 journal article

On multi-color partitions and the generalized Rogers-Ramanujan identities

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 3(4), 533–548.

By: N. Jing n, K. Misra n & C. Savage n

Contributors: N. Jing n, K. Misra n & C. Savage n

Sources: Web Of Science, NC State University Libraries, ORCID
Added: August 6, 2018

2001 journal article

Realization of level one representations of $U\sb q(\hat{\mathfrak {g}})$ at a root of unity

Duke Mathematical Journal, 108(1), 183–197.

By: V. Chari & N. Jing*

Contributors: V. Chari & N. Jing*

Sources: NC State University Libraries, ORCID, NC State University Libraries
Added: August 6, 2018

2001 journal article

q-discriminants and vertex operators

Advances in Applied Mathematics, 27(2-3), 482–492.

By: M. Ismail* & N. Jing n

Contributors: M. Ismail* & N. Jing n

author keywords: discriminants; orthogonal polynomials; zeros; vertex operators; q-deformations
TL;DR: This paper proposes a unified realization of discriminants using vertex operators coming from infinite dimensional Lie algebras and their quantum deformations as well as Yangian deformations. (via Semantic Scholar)
UN Sustainable Development Goal Categories
10. Reduced Inequalities (OpenAlex)
Source: ORCID
Added: April 23, 2020

2000 journal article

On a Combinatorial Identity

International Mathematics Research Notices, 2000(6), 324–332. http://www.scopus.com/inward/record.url?eid=2-s2.0-0346737810&partnerID=MN8TOARS

By: J. Ding & N. Jing

Contributors: J. Ding & N. Jing

Source: ORCID
Added: April 23, 2020

2000 journal article

Quantum Z-algebras and representations of quantum affine algebras

COMMUNICATIONS IN ALGEBRA, 28(2), 829–844.

By: N. Jing n

Contributors: N. Jing n

author keywords: quantum enveloping algebras; quantum Z-operators; vertex operators; Hopf algebras
Sources: Web Of Science, ORCID
Added: August 6, 2018

2000 journal article

Quantum vertex representations via finite groups and the McKay correspondence

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 211(2), 365–393.

By: I. Frenkel*, N. Jing* & W. Wang

Contributors: I. Frenkel*, N. Jing* & W. Wang

Sources: Web Of Science, ORCID
Added: August 6, 2018

2000 journal article

The order of groups satisfying a converse to Lagrange's theorem

MATHEMATIKA, 47(93-94), 197–204.

By: N. Jing n

Contributors: N. Jing n

UN Sustainable Development Goal Categories
15. Life on Land (Web of Science)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2000 journal article

Vertex representations via finite groups and the McKay correspondence

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2000(4), 195–222.

By: I. Frenkel, N. Jing* & W. Wang

Contributors: I. Frenkel, N. Jing* & W. Wang

Sources: Web Of Science, NC State University Libraries, ORCID
Added: August 6, 2018

2000 journal article

q-wedge modules for quantized enveloping algebras of classical type

JOURNAL OF ALGEBRA, 230(2), 518–539.

By: N. Jing n, K. Misra n & M. Okado*

Contributors: N. Jing n, K. Misra n & M. Okado*

Sources: Web Of Science, ORCID
Added: August 6, 2018

1999 journal article

Gorensteinness of invariant subrings of quantum algebras

JOURNAL OF ALGEBRA, 221(2), 669–691.

By: N. Jing* & J. Zhang

Contributors: N. Jing* & J. Zhang

author keywords: group actions; invariant subrings; Auslander-Gorenstein property; Macaulay property
UN Sustainable Development Goal Categories
15. Life on Land (Web of Science)
Sources: Web Of Science, ORCID
Added: August 6, 2018

1999 journal article

Level one representations of U-q(G(2)((1)))

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 127(1), 21–27.

By: N. Jing n

author keywords: quantum Z-operators; vertex operators
Source: Web Of Science
Added: August 6, 2018

1999 journal article

Level one representations of Uq(G2 (1))

Proceedings of the American Mathematical Society, 127(1), 21–27. http://www.scopus.com/inward/record.url?eid=2-s2.0-22444452806&partnerID=MN8TOARS

By: N. Jing

Contributors: N. Jing

Source: ORCID
Added: April 23, 2020

1999 journal article

Level one representations of quantum affine algebras Uq(C n (1))

Selecta Mathematica, New Series, 5(2), 243–255. http://www.scopus.com/inward/record.url?eid=2-s2.0-53149123269&partnerID=MN8TOARS

By: N. Jing, Y. Koyama & K. Misra

Contributors: N. Jing, Y. Koyama & K. Misra

Source: ORCID
Added: April 23, 2020

1999 journal article

Level two vertex representations of G(1) 2

Communications in Algebra, 27(9), 4355–4362. http://www.scopus.com/inward/record.url?eid=2-s2.0-0033243918&partnerID=MN8TOARS

By: N. Jing & C. Lyerly

Contributors: N. Jing & C. Lyerly

Source: ORCID
Added: April 23, 2020

1999 journal article

Level two vertex representations of G(2)((1))

COMMUNICATIONS IN ALGEBRA, 27(9), 4355–4362.

By: N. Jing* & C. Lyerly

author keywords: Kac-Moody algebras; vertex operators
Source: Web Of Science
Added: August 6, 2018

1999 book

Recent developments in quantum affine algebras and related topics: Representations of affine and quantum affine algebras and their applications, North Carolina State University, May 21-24, 1998 / Naihuan Jing, Kailash C. Misra, editors

By: N. Jing* & K. Misra*

Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018

1999 journal article

Vertex operators for twisted quantum affine algebras

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 351(4), 1663–1690.

By: N. Jing n & K. Misra n

Contributors: N. Jing n & K. Misra n

author keywords: quantum affine algebras; q-vertex operators
Sources: Web Of Science, ORCID
Added: August 6, 2018

1998 journal article

Bosonic realizations of U-q(C-n((1)))

JOURNAL OF ALGEBRA, 200(1), 155–172.

By: N. Jing n, Y. Koyama n & K. Misra n

Contributors: N. Jing n, Y. Koyama n & K. Misra n

Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

1998 journal article

Canonical basis and Macdonald polynomials

ADVANCES IN MATHEMATICS, 140(1), 95–127.

By: J. Beck*, I. Frenkel* & N. Jing n

Contributors: J. Beck*, I. Frenkel* & N. Jing n

Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

1998 journal article

Quantum Kac-Moody Algebras and Vertex Representations

Letters in Mathematical Physics, 44(4), 261–271.

By: N. Jing n

Contributors: N. Jing n

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

1998 journal article

Vertex operators of admissible modules of U-q(C-n((1)))

JOURNAL OF ALGEBRA, 205(1), 294–316.

By: N. Jing n & Y. Koyama n

Contributors: N. Jing n & Y. Koyama n

Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

1997 journal article

On the trace of graded automorphisms

JOURNAL OF ALGEBRA, 189(2), 353–376.

By: N. Jing n & J. Zhang*

Contributors: N. Jing n & J. Zhang*

UN Sustainable Development Goal Categories
15. Life on Land (Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

1996 journal article

Higher level representations of the quantum affine algebra Uq(ŝl(2))

Journal of Algebra, 182(2), 448–468.

By: N. Jing n

Contributors: N. Jing n

Source: ORCID
Added: April 23, 2020

1996 journal article

Vertex Operators of Level-One UqBn (1)-modules

Letters in Mathematical Physics, 36(2), 127–143. http://www.scopus.com/inward/record.url?eid=2-s2.0-0039319607&partnerID=MN8TOARS

By: N. Jing & K. Misra

Contributors: N. Jing & K. Misra

Source: ORCID
Added: April 23, 2020

1995 journal article

Boson-fermion correspondence for Hall-Littlewood polynomials

Journal of Mathematical Physics, 36(12), 7073–7080. http://www.scopus.com/inward/record.url?eid=2-s2.0-21844499602&partnerID=MN8TOARS

By: N. Jing

Contributors: N. Jing

Source: ORCID
Added: April 23, 2020

1995 journal article

Vertex operators of quantum affine Lie algebras Uq(Dn (1))

Communications in Mathematical Physics, 174(2), 367–392.

By: N. Jing n, S. Kang* & Y. Koyama*

Contributors: N. Jing n, S. Kang* & Y. Koyama*

Source: ORCID
Added: April 23, 2020

1992 journal article

On quantum groups for ZN models

Journal of Physics A: Mathematical and General, 25(13).

By: M. Ge*, N. Jing* & G. Liu*

Contributors: M. Ge*, N. Jing* & G. Liu*

Source: ORCID
Added: April 23, 2020

1991 journal article

A new quantum group associated with a 'nonstandard' braid group representation

Letters in Mathematical Physics, 21(3), 193–203.

By: N. Jing*, M. Ge* & Y. Wu*

Contributors: N. Jing*, M. Ge* & Y. Wu*

Source: ORCID
Added: April 23, 2020

1991 journal article

Vertex operators and Hall-Littlewood symmetric functions

Advances in Mathematics, 87(2), 226–248.

By: N. Jing*

Contributors: N. Jing*

Source: ORCID
Added: April 23, 2020

1991 journal article

Vertex operators, symmetric functions, and the spin group Γn

Journal of Algebra, 138(2), 340–398.

By: N. Jing*

Contributors: N. Jing*

Source: ORCID
Added: April 23, 2020

1990 journal article

Twisted vertex representations of quantum affine algebras

Inventiones Mathematicae, 102(1), 663–690.

By: N. Jing*

Contributors: N. Jing*

Source: ORCID
Added: April 23, 2020

Employment

Updated: August 4th, 2022 03:06

1994 - present

North Carolina State University Raleigh, NC, US
Professor Mathematics

Education

Updated: April 6th, 2024 08:20

Yale University New Haven, CT, US
Ph.D Mathematics

Yale University New Haven, CT, US
M.S. Mathematics

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