Naihuan Jing

https://orcid.org/0000-0002-2156-2569

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

Works (193)

Updated: May 4th, 2023 05:01

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

author keywords: BN-structure; (dual) ON-structure; Leibniz algebra; Maurer-Cartan equation; O-operator; r - n structure; RBN-structure
Sources: Web Of Science, ORCID
Added: January 23, 2023

2023 journal article

On monogamy and polygamy relations of multipartite systems

PHYSICA SCRIPTA, 98(3).

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

author keywords: monogamy; polygamy; entanglement
Sources: ORCID, Web Of Science
Added: February 11, 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. Liu

author keywords: Kostka polynomials; Hall-Littlewood polynomials; Schur's Q-polynomials; Projective characters
Sources: ORCID, Web Of Science
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
Added: February 11, 2023

2023 journal article

Sharing quantum nonlocality in star network scenarios

FRONTIERS OF PHYSICS, 18(3).

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

author keywords: Bell nonlocality; quantum network; nonlocality sharing; POVM measurements
Sources: Web Of Science, ORCID
Added: February 13, 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 & T. Zhang*

author keywords: SLOCC; Local unitary equivalence; CP decomposition
Sources: Web Of Science, ORCID
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
Sources: Web Of Science, ORCID
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, 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, ORCID
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, Z. Wang* & S. Fei*

author keywords: Heisenberg-Weyl representation; Genuine entanglement; Correlation tensor
Sources: Web Of Science, ORCID
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
Sources: Web Of Science, ORCID
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, ORCID
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, Z. Wang* & S. Fei*

author keywords: Genuine multipartite entanglement; Separability; Correlation tensor
Sources: Web Of Science, ORCID
Added: March 28, 2022

2022 journal article

Improved unitary uncertainty relations

QUANTUM INFORMATION PROCESSING, 21(2).

By: X. Hu* & N. Jing

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

2022 journal article

Lattice structure of modular vertex algebras

JOURNAL OF ALGEBRA, 592, 1–17.

By: H. Huang* & N. Jing

author keywords: Vertex algebras; Integral forms; Modular vertex algebras; Automorphism groups
Sources: ORCID, Web Of Science
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, Q. Wang* & H. Zhang*

author keywords: vertex representation; quantum N-toroidal algebra; vertex operator; toroidal Lie algebra
Sources: Web Of Science, ORCID
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

author keywords: Local unitary equivalence; Tensors; CP decomposition
Sources: Web Of Science, ORCID
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
Added: February 4, 2022

2022 journal article

Near-Optimal Variance-Based Uncertainty Relations

FRONTIERS IN PHYSICS, 10.

By: Y. Xiao, N. Jing, 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
Sources: Web Of Science, ORCID
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 & H. Zhang*

author keywords: Drinfeld realization; comultiplication; Drinfeld generator; Hopf algebra; quantum toroidal algebra
Sources: Web Of Science, ORCID
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 & K. Misra

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

2022 journal article

On genuine entanglement for tripartite systems

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 20(02).

By: H. Zhao*, L. Liu*, Z. Wang*, N. Jing & J. Li*

author keywords: Genuine entanglement; partial transposition; correlation tensor; Frobenius norm
Sources: Web Of Science, ORCID
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. Liu*

author keywords: Hecke algebras; Jing operators; Schur polynomials; Murnaghan-Nakayama rule
Sources: ORCID, Web Of Science
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, F. Kong* & S. Tan*

author keywords: Quantum toroidal algebra; Triangular decomposition; Hopf algebra
Sources: Web Of Science, ORCID
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

author keywords: Two-parameter quantum supergroup; center; Dickson polynomial; Scasimir operator
Sources: ORCID, Web Of Science
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

author keywords: Quantum discord; Quantum correlations; Tripartite quantum states; Optimization on manifolds
Sources: ORCID, Web Of Science
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
Sources: Web Of Science, ORCID
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

author keywords: separability; Weyl operators; Bloch representation; correlation matrix; quantum teleportation
Sources: ORCID, Web Of Science
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, 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, ORCID
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. Liu

author keywords: Green's polynomials; Vertex operators; Hall-Littlewood functions; Hecke algebra
Sources: Web Of Science, ORCID
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 & H. Zhao*

author keywords: Monogamy; Polygamy; Unified-(q, s) entanglement; Entanglement of formation
Sources: ORCID, Web Of Science
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
Sources: Web Of Science, ORCID
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

author keywords: quantum teleportation; quantum signature; proxy signature; blind signature
Sources: ORCID, Web Of Science
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, 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

author keywords: Kostka-Foulkes polynomials; Jing operators; Hall-Littlewood polynomials
Sources: ORCID, Web Of Science
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, C. Mangum* & K. Misra

author keywords: Lie algebras; toroidal Lie algebras; Dynkin diagram automorphisms; fermionic realization
Sources: ORCID, Web Of Science
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, ORCID
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, F. Kong* & S. Tan*

author keywords: Moody-Rao-Yokonuma presentation; loop algebra; universal central extension; extended affine Lie algebra
Sources: Web Of Science, ORCID
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, Z. Xu* & H. Zhang*

author keywords: Quantum N-toroidal algebra; vertex operator; Fock space
Sources: Web Of Science, ORCID
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, Z. Li & T. Cai

author keywords: correlation functions; quantum integrability (Bethe ansatz); algebraic structures of integrable models; bosonisation
Sources: Web Of Science, ORCID
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, 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, ORCID
Added: December 21, 2020

2020 journal article

Deformation of Cayley's hyperdeterminants

ELECTRONIC JOURNAL OF COMBINATORICS, 27(2).

By: T. Cai* & N. Jing

Sources: Web Of Science, ORCID
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, ORCID
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, M. Liu & A. Molev*

Sources: Web Of Science, ORCID
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, D. Wang* & H. Zhang*

author keywords: Poincare series; Tensor algebras; Invariants; McKay-Slodowy correspondence
Sources: Web Of Science, ORCID
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

author keywords: Quantum discord; Quantum correlations; Bipartite quantum states; Optimization on manifolds
Sources: Web Of Science, ORCID
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, M. Liu & A. Molev*

author keywords: R-matrix presentation; Drinfeld polynomials; highest weight representation; Gauss decomposition
Sources: Web Of Science, ORCID
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 & Z. Wang*

author keywords: Separability; Bloch vector; Entanglement
Sources: Web Of Science, ORCID
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, ORCID
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 & X. Li-Jost*

author keywords: Time optimal control; Local unitary invariants; Two-qubit gates; Cartan decomposition
Sources: Web Of Science, ORCID
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

author keywords: uncertainty relations; skew information; entanglement
Sources: Web Of Science, ORCID
Added: July 13, 2020

2020 journal article

Yangian doubles of classical types and their vertex representations

Journal of Mathematical Physics.

By: N. Jing, 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 & S. Fei*

author keywords: Genuine multipartite entanglement; Correlation tensor
Sources: Web Of Science, ORCID
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 & X. Li-Jost*

Sources: Web Of Science, ORCID
Added: October 14, 2019

2019 journal article

Incompatibility of observables as state-independent bound of uncertainty relations

PHYSICAL REVIEW A, 100(3).

By: Y. Xiao*, C. Guo*, F. Meng*, N. Jing & M. Yung*

Sources: Web Of Science, ORCID
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 & Z. Gu*

author keywords: Entangled states; Orthogonal product states; Distinguishability
Sources: Web Of Science, ORCID
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 & M. Liu

author keywords: Two-parameter quantum groups; fusion procedure; Schur-Weyl duality
Sources: Web Of Science, ORCID
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, ORCID
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

author keywords: Quantum morphological gradient; Quantum dilation; Quantum erosion; Quantum circuit
Sources: Web Of Science, ORCID
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

author keywords: Quantum image processing; Edge detection; Laplacian operator; Zero-cross method
Sources: Crossref, ORCID
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

author keywords: Quantum image processing; Edge detection; Sobel operator; Real-time problem
Sources: Web Of Science, ORCID
Added: December 17, 2018

2019 journal article

Strong unitary uncertainty relations

PHYSICAL REVIEW A, 100(2).

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

Sources: Web Of Science, ORCID
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 & S. Kozic*

author keywords: Quantum vertex algebra; Double Yangian; Center at the critical level
Sources: Web Of Science, ORCID
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 & C. Xu*

author keywords: Toroidal Lie superalgebra; vertex operators; free fields
Sources: Web Of Science, ORCID
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 & J. Zhang*

author keywords: multiparameter quantum groups; q-determinants; quasi-center; Capelli identity; q-Pfaffians; q-hyper-Pfaffians
Sources: Web Of Science, ORCID
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, ORCID
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*

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

2018 journal article

From Frobenius character formula to vertex operators

SCIENTIA SINICA Mathematica, 48(11), 1717.

By: J. Naihuan n

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, M. Liu & A. Molev*

Sources: Crossref, ORCID
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

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

2018 book

Representations of Lie algebras, quantum groups and related topics

In American Mathematical Society.

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, F. Kong* & S. Tan*

Sources: Crossref, ORCID
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, ORCID
Added: August 6, 2018

2017 journal article

Quantum hyperdeterminants and hyper-Pfaffians

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

By: N. Jing & J. Zhang*

author keywords: Quantum hyperdeterminants; Cayley's hyperdeterminant; Quantum hyper-Pfaffians; q-Forms; Quantum monoids
Sources: Web Of Science, ORCID
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 & M. Liu

author keywords: Drinfeld realization; RTT formulation; Quantum affine algebras; Gauss decomposition
Sources: Web Of Science, ORCID
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

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

2017 journal article

Super quantum discord for general two qubit X states

QUANTUM INFORMATION PROCESSING, 16(4).

By: N. Jing & B. Yu*

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

2017 journal article

Uncertainty under quantum measures and quantum memory

QUANTUM INFORMATION PROCESSING, 16(4).

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

author keywords: Entropic uncertainty relations; Quantum memory; Quantum side information
Sources: Web Of Science, ORCID
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 & S. Fei*

author keywords: Unextendible maximally entangled bases; Mutually unbiased bases; Multipartite quantum systems
Sources: Web Of Science, ORCID
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 & T. Zhang*

Sources: NC State University Libraries, ORCID
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 & S. Fei

author keywords: Bound entanglement; Positive partial transpose; Range criterion; Local unitary equivalent
Sources: Web Of Science, ORCID
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 & H. Zhang*

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

2016 journal article

Enhanced Information Exclusion Relations

SCIENTIFIC REPORTS, 6.

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

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

2016 journal article

Geometric transformations of multidimensional color images based on NASS

INFORMATION SCIENCES, 340, 191–208.

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

author keywords: Geometric transformations; Quantum image processing; Quantum circuits; Quantum computing
Sources: Web Of Science, ORCID
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, ORCID
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, S. Fei* & X. Li-Jost*

author keywords: uncertainty relations; entropy; quantum memory
Sources: Web Of Science, ORCID
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, M. Yang n & H. Zhao*

Sources: Web Of Science, ORCID
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*

author keywords: Double affine Lie algebra; Verma module; irreducibility; Weyl module
Sources: Web Of Science, ORCID
Added: August 6, 2018

2016 journal article

Mutually Exclusive Uncertainty Relations

SCIENTIFIC REPORTS, 6.

By: Y. Xiao* & N. Jing

Sources: Web Of Science, ORCID
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 & H. Zhang*

author keywords: Two-parameter quantum affine algebra; Drinfeld realization; evaluation representation; finite-dimensional representation
Sources: Web Of Science, ORCID
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*

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

2016 journal article

Quantum Permanents and Hafnians via Pfaffians

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

By: N. Jing & J. Zhang*

author keywords: q-determinant; q-permanent; q-Pfaffian; q-Hafnian; Hopf algebras
Sources: Web Of Science, ORCID
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 & B. Yu*

author keywords: quantum discord; quantum correlation; optimization; von Neumann measures
Sources: Web Of Science, ORCID
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

author keywords: Rota-Baxter operator; Witt algebra; Virasoro algebra; Pre-Lie algebra; PostLie algebra
Sources: Web Of Science, ORCID
Added: August 6, 2018

2016 journal article

Strong entropic uncertainty relations for multiple measurements

PHYSICAL REVIEW A, 93(4).

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

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

2016 journal article

Two-parameter twisted quantum affine algebras

JOURNAL OF MATHEMATICAL PHYSICS, 57(9).

By: N. Jing & H. Zhang*

Sources: Web Of Science, ORCID
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
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. Rozhkovskaya*

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

2016 journal article

Weighted Uncertainty Relations

SCIENTIFIC REPORTS, 6.

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

Sources: Web Of Science, ORCID
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 & Y. Li*

author keywords: Peak algebra; Noncommutative Schur Q-functions; Quasisymmetric Schur P-functions
Sources: Web Of Science, ORCID
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

author keywords: Bound entanglement; distillability
Sources: Web Of Science, ORCID
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, X. Zhang* & Y. Wang*

author keywords: Quantum discord; One-way information deficit; Quantum information
Sources: Web Of Science, ORCID
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

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, S. Fei, M. Li, X. Li-Jost & T. Zhang

Sources: Web Of Science, ORCID
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 & J. Zhang*

author keywords: Newton's identities; Macdonald functions; Modular Hall-Littlewood polynomials; Vertex operators
Sources: Web Of Science, ORCID
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*

author keywords: One-way deficit; Concurrence; Phase flip channel
Sources: Web Of Science, ORCID
Added: August 6, 2018

2015 book

Reversible logic circuits

In Nova Science Publishers.

Source: ORCID
Added: April 23, 2020

2015 journal article

The shifted Poirier-Reutenauer algebra

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

By: N. Jing & Y. Li*

author keywords: Shifted Poirier-Reutenauer algebra; Schur's P-function; Peak subalgebra
Sources: Web Of Science, ORCID
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 & S. Tan*

author keywords: Lie algebra; vertex operator; representation theory
Sources: Web Of Science, ORCID
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

author keywords: Simultaneous unitary equivalence; Simultaneous similarity; Simultaneous orthogonal equivalence; Congruence
Sources: Web Of Science, ORCID
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 & B. Nie*

author keywords: Weyl character formulae; vertex operators; symplectic/orthogonal Schur functions
Sources: Web Of Science, ORCID
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
Sources: Web Of Science, ORCID
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

author keywords: Newton identities; Macdonald polynomials; Vertex operators
Sources: Web Of Science, ORCID
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

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

2014 journal article

LIE SUPERALGEBRAS ARISING FROM BOSONIC REPRESENTATION

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

By: N. Jing & C. Xu*

author keywords: Bosonic fields; Realization; Toroidal Lie superalgebra; Primary 17B60; 17B67; 17B69; Secondary 17A45; 81R10
Sources: Web Of Science, ORCID
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

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

2014 journal article

Quantum Pfaffians and hyper-Pfaffians

ADVANCES IN MATHEMATICS, 265, 336–361.

By: N. Jing & J. Zhang*

author keywords: Quantum Pfaffians; q-Forms; Quantum determinants
Sources: Web Of Science, ORCID
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 & M. Liu

author keywords: Quantum groups; Determinants; Casimir elements; Yang-Baxter equations
Sources: Crossref, ORCID
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 & K. Misra

author keywords: Affine Lie algebras; critical level; bosons; parafermions
Sources: Web Of Science, ORCID
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

Sources: Web Of Science, ORCID
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, M. Li*, X. Li-Jost*, T. Zhang* & S. Fei*

author keywords: SLOCC-invariants; local unitary equivalent; hyperdeterminants
Sources: Web Of Science, ORCID
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

author keywords: Wreath products; Spin groups; Projective characters
Sources: Web Of Science, ORCID
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 & R. Liu*

author keywords: quantum algebras; toroidal algebras; vertex operators; Serre relations
Sources: Web Of Science, ORCID
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, X. Li-Jost*, M. Zhao* & S. Fei*

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

2013 journal article

A twisted quantum toroidal algebra

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

By: N. Jing & R. Liu*

author keywords: Vertex operator; toroidal algebra; quantum algebra
Sources: Web Of Science, ORCID
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

Sources: Web Of Science, ORCID
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. Jing & W. Cai*

author keywords: McKay correspondence; McKay quivers; generalized Dynkin diagrams
Sources: Web Of Science, ORCID
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 & M. Liu

Sources: Web Of Science, ORCID
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 & S. Fei*

author keywords: Quantum state; PPT; Separability
Sources: Web Of Science, ORCID
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

Sources: ORCID, Crossref
Added: April 23, 2020

2012 journal article

CODES AND SHIFTED CODES

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

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

author keywords: Codes; tableaux; Schur functions; Bernstein operators
Sources: Web Of Science, ORCID
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

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 & X. Li-Jost*

Sources: Web Of Science, ORCID
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

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

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

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 & M. Liu

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

2012 book

Quantized algebra and physics

In World Scientific Publishing Co. Pte. Ltd.

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

author keywords: Quantum group; Jordan torus; TKK algebra; Vertex operators
Sources: Web Of Science, ORCID
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. Jing & E. Stitzinger

author keywords: Codes; Schur function; Littlewood-Richardson rule
Sources: Web Of Science, ORCID
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 & H. Zhang*

author keywords: Two-parameter quantum affine algebra; finite groups; wreath products; McKay correspondence
Sources: Web Of Science, ORCID
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

author keywords: Quantum analogue; Tits-Kantor-Koecher algebra; Jordan torus
Sources: Web Of Science, ORCID
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 & H. Zhang*

author keywords: Drinfield realization; Quantum affine algebras
Sources: Web Of Science, ORCID
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 & K. Misra

author keywords: Clifford algebras; Vertex operators; Toroidal Lie algebras
Sources: Web Of Science, ORCID
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

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

2010 book

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

In American Mathematical Society.

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 & 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, K. Misra & C. Xu

author keywords: Toroidal algebras; Weyl algebras; vertex operators; representations
Sources: Web Of Science, ORCID
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 & H. Zhang*

author keywords: two-parameter quantum affine algebra; Young diagram; Fock space; fermionic realization
Sources: Web Of Science, ORCID
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

Sources: Web Of Science, ORCID
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 & M. Ge*

Sources: Web Of Science, ORCID
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

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

2007 journal article

Affine Lie algebras and product-sum identities

JOURNAL OF ALGEBRA, 314(2), 538–552.

By: N. Jing & L. Xia*

author keywords: Affine Lie algebras; character formulas; quintuple product identity; vertex operators
Sources: Web Of Science, ORCID
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

author keywords: adjoint actions; drinfeld realization; quantum affine algebras
Sources: Web Of Science, ORCID
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 & B. Sun*

author keywords: separability; matrix; tensor product decomposition
Sources: Web Of Science, ORCID
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

author keywords: toroidal Lie algebra; vertex operator; bosonic realization
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

author keywords: local unitary transformation; quantum states; tensor decomposable
Sources: Web Of Science, ORCID
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

Sources: Web Of Science, ORCID
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

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

2003 book

Algebraic combinatorics and quantum groups

In World Scientific Publishing Co., Inc.

Source: ORCID
Added: April 23, 2020

2002 journal article

Twisted vertex representations and spin characters

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

By: N. Jing & W. Wang

Sources: Web Of Science, ORCID
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

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 & K. Misra

author keywords: affine Lie algebra; Wakimoto module
Sources: Web Of Science, ORCID
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, K. Misra & C. Savage

Sources: Web Of Science, 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

Sources: NC State University Libraries, ORCID
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

author keywords: discriminants; orthogonal polynomials; zeros; vertex operators; q-deformations
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

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

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

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

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

Sources: Web Of Science, 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, K. Misra & 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*

author keywords: group actions; invariant subrings; Auslander-Gorenstein property; Macaulay property
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

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

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

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

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, ORCID
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 & K. Misra

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, Y. Koyama n & K. Misra

Sources: Web Of Science, ORCID
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

Sources: Web Of Science, ORCID
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

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 & Y. Koyama n

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

1997 journal article

On the trace of graded automorphisms

JOURNAL OF ALGEBRA, 189(2), 353–376.

By: N. Jing & J. Zhang*

Sources: Web Of Science, ORCID
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

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

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

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, 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

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*

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

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

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

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: March 21st, 2023 07:32

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

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