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
2024 journal article
A note on Cauchy's formula
ADVANCES IN APPLIED MATHEMATICS, 153.
2023 journal article
Enhanced quantum channel uncertainty relations by skew information
QUANTUM INFORMATION PROCESSING, 22(10).
2023 journal article
Improved tests of genuine entanglement for multiqudits
EPL, 143(3).
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.
2023 article
O-operators and related structures on Leibniz algebras
Sun, Q., & Jing, N. (2023, January 4). COMMUNICATIONS IN ALGEBRA, Vol. 1.
2023 journal article
On monogamy and polygamy relations of multipartite systems
PHYSICA SCRIPTA, 98(3).
2023 journal article
One-particle loss detection of genuine multipartite entanglement
QUANTUM INFORMATION PROCESSING, 22(5).
2023 article
Q-Kostka polynomials and spin Green polynomials
Jiang, A., Jing, N., & Liu, N. (2023, March 20). MONATSHEFTE FUR MATHEMATIK, Vol. 3.
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.
2023 journal article
Quantum algebra of multiparameter Manin matrices
Journal of Algebra.
2023 journal article
R-matrix Presentation of Quantum Affine Algebra in Type A2n-1(2)
FRONTIERS OF MATHEMATICS, 18(3), 513โ564.
2023 journal article
Separability and classification of multipartite quantum states
LASER PHYSICS LETTERS, 20(12).
2023 journal article
Sharing quantum nonlocality in star network scenarios
FRONTIERS OF PHYSICS, 18(3).
2023 journal article
Uncertainty relations for metric adjusted skew information and Cauchy-Schwarz inequality
LASER PHYSICS LETTERS, 20(8).
2022 journal article
Criteria for SLOCC and LU Equivalence of Generic Multi-qudit States
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 62(1).
2022 journal article
Criteria of Genuine Multipartite Entanglement Based on Correlation Tensors
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 61(12).
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.
2022 journal article
Detection of Multipartite Entanglement Based on Heisenberg-Weyl Representation of Density Matrices
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 61(5).
2022 journal article
Detection of genuine entanglement for multipartite quantum states
QUANTUM INFORMATION PROCESSING, 21(9).
2022 journal article
Detection of genuine multipartite entanglement based on principal basis matrix representations
LASER PHYSICS LETTERS, 19(3).
2022 journal article
Detection of genuine tripartite entanglement based on Bloch representation of density matrices
QUANTUM INFORMATION PROCESSING, 21(3).
2022 journal article
Improved unitary uncertainty relations
QUANTUM INFORMATION PROCESSING, 21(2).
2022 journal article
Lattice structure of modular vertex algebras
JOURNAL OF ALGEBRA, 592, 1โ17.
2022 journal article
Level-1/2 Realization of Quantum N-Toroidal Algebra in Type C-n
ALGEBRA COLLOQUIUM, 29(01), 79โ98.
2022 journal article
Local Unitary Equivalence of Generic Multi-qubits Based on the CP Decomposition
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 61(5).
2022 journal article
Monogamy and Polygamy Relations of Quantum Correlations for Multipartite Systems
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 61(1).
2022 journal article
Near-Optimal Variance-Based Uncertainty Relations
FRONTIERS IN PHYSICS, 10.
2022 article
On Hopf algebraic structures of quantum toroidal algebras
Jing, N., & Zhang, H. (2022, October 1). COMMUNICATIONS IN ALGEBRA, Vol. 10.
2022 journal article
On Smith normal forms of q-Varchenko matrices
ALGEBRA AND DISCRETE MATHEMATICS, 34(2), 187โ222.
2022 journal article
On genuine entanglement for tripartite systems
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 20(02).
2022 journal article
On irreducible characters of the Iwahori-Hecke algebra in type A
JOURNAL OF ALGEBRA, 598, 24โ47.
2022 journal article
On quantum toroidal algebra of type A(1)
JOURNAL OF PURE AND APPLIED ALGEBRA, 226(1).
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.
2022 journal article
Quantum discords of tripartite quantum systems
QUANTUM INFORMATION PROCESSING, 21(4).
2022 journal article
Quantum separability criteria based on realignment moments
QUANTUM INFORMATION PROCESSING, 21(8).
2022 journal article
Separability Criteria Based on the Weyl Operators
ENTROPY, 24(8).
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.
2022 journal article
The Green polynomials via vertex operators
JOURNAL OF PURE AND APPLIED ALGEBRA, 226(8).
2022 journal article
Tightening monogamy and polygamy relations of unified entanglement in multipartite systems
QUANTUM INFORMATION PROCESSING, 21(4).
2022 journal article
Tighter monogamy relations of entanglement measures based on fidelity
LASER PHYSICS LETTERS, 19(8).
2022 journal article
Two Quantum Proxy Blind Signature Schemes Based on Controlled Quantum Teleportation
ENTROPY, 24(10).
2021 journal article
(G,ฯ)-equivariant ฯ-coordinated quasi modules for nonlocal vertex algebras
Journal of Algebra, 570, 24โ74.
2021 journal article
An iterative formula for the Kostka-Foulkes polynomials
JOURNAL OF ALGEBRAIC COMBINATORICS, 54(2), 625โ634.
2021 journal article
Fermionic realization of twisted toroidal Lie algebras
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 20(08).
2021 journal article
Poincare Series of Relative Symmetric Invariants for SLn(C)
ALGEBRAS AND REPRESENTATION THEORY, 24(3), 601โ623.
2021 journal article
Twisted toroidal Lie algebras and Moody-Rao-Yokonuma presentation
SCIENCE CHINA-MATHEMATICS, 64(6), 1181โ1200.
2021 journal article
Vertex representations of quantum N-toroidal algebras for type C
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 20(10).
2020 journal article
Correlation functions of charged free boson and fermion systems
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2020(8).
2020 journal article
DRINFELD-TYPE PRESENTATIONS OF LOOP ALGEBRAS
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 373(11), 7713โ7753.
2020 journal article
Deformation of Cayley's hyperdeterminants
ELECTRONIC JOURNAL OF COMBINATORICS, 27(2).
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.
2020 journal article
Isomorphism between the R-matrix and Drinfeld presentations of quantum affine algebra: Type C
JOURNAL OF MATHEMATICAL PHYSICS, 61(3).
2020 journal article
Poincare series, exponents of affine Lie algebras, and McKay-Slodowy correspondence
JOURNAL OF ALGEBRA, 546, 135โ162.
2020 journal article
Quantum Discord of Certain Two-Qubit States
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 59(2), 415โ425.
2020 journal article
Representations of Quantum Affine Algebras in their R-Matrix Realization
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 16.
2020 journal article
Separability criteria based on Bloch representation of density matrices
QUANTUM INFORMATION PROCESSING, 19(1).
2020 journal article
Tau functions of the charged free bosons
SCIENCE CHINA-MATHEMATICS, 63(11), 2157โ2176.
2020 journal article
Time optimal control based on classification of quantum gates
QUANTUM INFORMATION PROCESSING, 19(3).
2020 journal article
Uncertainty relations based on Wigner-Yanase skew information
COMMUNICATIONS IN THEORETICAL PHYSICS, 72(7).
2020 journal article
Yangian doubles of classical types and their vertex representations
Journal of Mathematical Physics.
2019 journal article
Detection of Genuine Multipartite Entanglement in Multipartite Systems
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 58(10), 3181โ3191.
2019 journal article
Distribution of spin correlation strengths in multipartite systems
QUANTUM INFORMATION PROCESSING, 18(11).
2019 journal article
Incompatibility of observables as state-independent bound of uncertainty relations
PHYSICAL REVIEW A, 100(3).
2019 journal article
LOCC Distinguishable Orthogonal Product States with Least Entanglement Resource
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 58(8), 2497โ2509.
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), 15โ29.
2019 journal article
On multivariable Zassenhaus formula
FRONTIERS OF MATHEMATICS IN CHINA, 14(2), 421โ433.
2019 journal article
Quantum Circuit Realization of Morphological Gradient for Quantum Grayscale Image
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 58(2), 415โ435.
2019 journal article
Quantum image edge extraction based on Laplacian operator and zero-cross method
Quantum Information Processing, 18(1).
2019 journal article
Quantum image edge extraction based on classical Sobel operator for NEQR
QUANTUM INFORMATION PROCESSING, 18(1).
2019 journal article
Strong unitary uncertainty relations
PHYSICAL REVIEW A, 100(2).
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), 2439โ2471.
2018 journal article
Bosonic vertex representations of the toroidal superalgebras in type D(m, n)
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 17(3).
2018 article
Capelli identity on multiparameter quantum linear groups
Jing, N., & Zhang, J. (2018, February). SCIENCE CHINA-MATHEMATICS, Vol. 61, pp. 253โ268.
2018 journal article
Center of the quantum affine vertex algebra in type A
JOURNAL OF ALGEBRA, 496, 138โ186.
2018 journal article
Distinguishing multipartite orthogonal product states by LOCC with entanglement as a resource
Quantum Information Processing, 17(8).
2018 journal article
From Frobenius character formula to vertex operators
SCIENTIA SINICA Mathematica, 48(11), 1717.
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), 827โ872.
2018 journal article
Multipartite Separability of Density Matrices of Graphs
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 57(10), 3112โ3126.
2018 book
Representations of Lie algebras, quantum groups and related topics
In American Mathematical Society.
2018 journal article
Twisted quantum affinizations and their vertex representations
Journal of Mathematical Physics, 59(8), 081701.
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), 5113โ5136.
2017 journal article
Quantum hyperdeterminants and hyper-Pfaffians
MATHEMATISCHE ZEITSCHRIFT, 287(3-4), 897โ914.
2017 journal article
R-matrix realization of two-parameter quantum affine algebra U-r,U-s(<(gl(n))over cap>)
JOURNAL OF ALGEBRA, 488, 1โ28.
2017 journal article
Spin characters of hyperoctahedral wreath products
JOURNAL OF PURE AND APPLIED ALGEBRA, 221(9), 2220โ2235.
2017 journal article
Super quantum discord for general two qubit X states
QUANTUM INFORMATION PROCESSING, 16(4).
2017 journal article
Uncertainty under quantum measures and quantum memory
QUANTUM INFORMATION PROCESSING, 16(4).
2017 journal article
Unextendible Maximally Entangled Bases and Mutually Unbiased Bases in Multipartite Systems
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 56(11), 3425โ3430.
2016 journal article
An upper bound of fully entangled fraction of mixed states
Communications in Theoretical Physics, 65(6), 701โ704.
2016 journal article
Construction of bound entangled states based on permutation operators
QUANTUM INFORMATION PROCESSING, 15(4), 1529โ1538.
2016 journal article
Drinfeld Realization of Quantum Twisted Affine Algebras via Braid Group
ADVANCES IN MATHEMATICAL PHYSICS, 2016.
2016 journal article
Enhanced Information Exclusion Relations
SCIENTIFIC REPORTS, 6.
2016 journal article
Geometric transformations of multidimensional color images based on NASS
INFORMATION SCIENCES, 340, 191โ208.
2016 journal article
Higher Sugawara Operators for the Quantum Affine Algebras of Type A
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 345(2), 631โ657.
2016 journal article
Improved uncertainty relation in the presence of quantum memory
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 49(49).
2016 journal article
Local unitary equivalence of quantum states and simultaneous orthogonal equivalence
JOURNAL OF MATHEMATICAL PHYSICS, 57(6).
2016 journal article
Modules for double affine Lie algebras
FRONTIERS OF MATHEMATICS IN CHINA, 11(1), 89โ108.
Contributors: & C. Wangโ* nโ
2016 journal article
Mutually Exclusive Uncertainty Relations
SCIENTIFIC REPORTS, 6.
2016 journal article
On finite-dimensional representations of two-parameter quantum affine algebras
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 15(3).
Contributors: & H. Zhangโ* nโ
2016 journal article
Optimal Universal Uncertainty Relations
SCIENTIFIC REPORTS, 6.
2016 journal article
Quantum Permanents and Hafnians via Pfaffians
LETTERS IN MATHEMATICAL PHYSICS, 106(10), 1451โ1464.
2016 journal article
Quantum discord of X-states as optimization of a one variable function
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 49(38).
2016 journal article
Rota-Baxter operators on Witt and Virasoro algebras
JOURNAL OF GEOMETRY AND PHYSICS, 108, 1โ20.
2016 journal article
Strong entropic uncertainty relations for multiple measurements
PHYSICAL REVIEW A, 93(4).
2016 journal article
Two-parameter twisted quantum affine algebras
JOURNAL OF MATHEMATICAL PHYSICS, 57(9).
2016 journal article
Uniform Entanglement Frames
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 55(8), 3492โ3505.
2016 journal article
Vertex Operators Arising from Jacobi-Trudi Identities
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 346(2), 679โ701.
2016 journal article
Weighted Uncertainty Relations
SCIENTIFIC REPORTS, 6.
2015 journal article
A lift of Schur's Q-functions to the peak algebra
JOURNAL OF COMBINATORIAL THEORY SERIES A, 135, 268โ290.
2015 journal article
Bound entanglement and distillability of multipartite quantum systems
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 13(5).
Contributors: H. Zhaoโ*, X. Yuโ* & nโ
2015 journal article
Comment on "One-way deficit of two qubit X states"
QUANTUM INFORMATION PROCESSING, 14(12), 4511โ4521.
2015 journal article
Irreducible projective characters of wreath products
Proceedings of the American Mathematical Society, 143(3), 1015โ1026.
2015 journal article
Local unitary invariants of generic multiqubit states
PHYSICAL REVIEW A, 92(2).
Contributors: , S. Fei*, M. Liโ*, X. Li-Jost* & T. Zhang* nโ
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. 124โ136.
Contributors: T. Cai*, nโ & J. Zhangโ*
2015 journal article
One-way deficit of two-qubit X states
QUANTUM INFORMATION PROCESSING, 14(7), 2487โ2497.
Contributors: Y. Wang*, nโ, S. Fei*, Z. Wangโ*, J. Caoโ* & H. Fanโ*
2015 book
Reversible logic circuits
In Nova Science Publishers.
2015 journal article
The shifted Poirier-Reutenauer algebra
MATHEMATISCHE ZEITSCHRIFT, 281(3-4), 611โ629.
Contributors: & Y. Liโ* nโ
2015 journal article
Twisted Vertex Operators and Unitary Lie Algebras
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 67(3), 573โ596.
2015 journal article
Unitary and orthogonal equivalence of sets of matrices
LINEAR ALGEBRA AND ITS APPLICATIONS, 481, 235โ242.
2015 journal article
Vertex Operators,Weyl Determinant Formulae and Littlewood Duality
ANNALS OF COMBINATORICS, 19(3), 427โ442.
2015 journal article
Vertex Representations of Toroidal Special Linear Lie Superalgebras
CHINESE ANNALS OF MATHEMATICS SERIES B, 36(3), 427โ436.
2014 journal article
A generalization of Newton's identity and Macdonald functions
JOURNAL OF COMBINATORIAL THEORY SERIES A, 125(1), 342โ356.
2014 journal article
Jack vertex operators and realization of Jack functions
JOURNAL OF ALGEBRAIC COMBINATORICS, 39(1), 53โ74.
2014 journal article
LIE SUPERALGEBRAS ARISING FROM BOSONIC REPRESENTATION
COMMUNICATIONS IN ALGEBRA, 42(1), 259โ270.
Contributors: & C. Xuโ* nโ
2014 journal article
Local unitary equivalence of multiqubit mixed quantum states
PHYSICAL REVIEW A, 89(6).
Contributors: M. Liโ*, T. Zhang*, S. Fei*, X. Li-Jost* & nโ
2014 journal article
Quantum Pfaffians and hyper-Pfaffians
ADVANCES IN MATHEMATICS, 265, 336โ361.
Contributors: & J. Zhangโ* nโ
2014 journal article
R-Matrix Realization of Two-Parameter Quantum Group Ur,s(gln)
Communications in Mathematics and Statistics, 2(3-4), 211โ230.
2014 journal article
REALIZATION OF (sl)over-cap(2)(C) AT THE CRITICAL LEVEL
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 16(2).
Contributors: J. Dunbar*, nโ & K. Misra n
2014 article
Realizations of Affine Lie Algebra A(1)((1)) at Negative Levels
ALGEBRA, GEOMETRY AND MATHEMATICAL PHYSICS (AGMP), Vol. 85, pp. 603โ616.
2014 journal article
SLOCC invariants for multipartite mixed states
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 47(21).
2014 journal article
Spin characters of generalized symmetric groups
MONATSHEFTE FUR MATHEMATIK, 173(4), 495โ518.
Contributors: X. Huโ* & nโ
2014 journal article
Twisted Quantum Toroidal Algebras T-q(-)(g)
LETTERS IN MATHEMATICAL PHYSICS, 104(9), 1137โ1145.
Contributors: & R. Liuโ* nโ
2013 journal article
A note on state decomposition independent local invariants
EUROPEAN PHYSICAL JOURNAL D, 67(8).
Contributors: T. Zhang*, nโ, X. Li-Jost*, M. Zhaoโ* & S. Fei*
2013 journal article
A twisted quantum toroidal algebra
FRONTIERS OF MATHEMATICS IN CHINA, 8(5), 1117โ1128.
Contributors: & R. Liuโ* nโ
2013 journal article
Generalized Bell states and principal realization of the Yangian Y(sl(N))
JOURNAL OF MATHEMATICAL PHYSICS, 54(2).
Contributors: M. Liu*, C. Baiโ*, M. Ge* & nโ
2013 journal article
Generalized McKay quivers of rank three
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 29(7), 1351โ1368.
Contributors: X. Huโ n, โ & W. Cai*
2013 journal article
Isomorphism between two realizations of the Yangian Y(so(3))
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 46(7).
2013 journal article
Separable State Decompositions for a Class of Mixed States
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 52(11), 4148โ4154.
2012 journal article
Applications of a LaplaceโBeltrami operator for Jack polynomials
European Journal of Combinatorics, 33(4), 556โ571.
2012 journal article
CODES AND SHIFTED CODES
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 22(6).
Contributors: J. Hird*, nโ & E. Stitzinger nโ
2012 journal article
Lie triple derivation algebra of Virasoro-like algebra
Bulletin of the Iranian Mathematical Society, 38(1), 17โ26. http://www.scopus.com/inward/record.url?eid=2-s2.0-84865502717&partnerID=MN8TOARS
2012 journal article
Local unitary equivalence of arbitrary dimensional bipartite quantum states
PHYSICAL REVIEW A, 86(1).
Contributors: C. Zhouโ*, T. Zhang*, S. Fei*, nโ & X. Li-Jost*
2012 article
On Classes of Local Unitary Transformations
Jing, N. (2012, June). ALGEBRA COLLOQUIUM, Vol. 19, pp. 283โ292.
2012 journal article
On classes of local unitary transformations
Algebra Colloquium, 19(2), 283โ292. http://www.scopus.com/inward/record.url?eid=2-s2.0-84859558364&partnerID=MN8TOARS
2012 journal article
Preface
Algebra Colloquium, 19(2). http://www.scopus.com/inward/record.url?eid=2-s2.0-84859529475&partnerID=MN8TOARS
2012 journal article
Principal Realization of Twisted Yangian
LETTERS IN MATHEMATICAL PHYSICS, 102(1), 91โ105.
Contributors: & M. Liuโ* nโ
2012 book
Quantized algebra and physics
In World Scientific Publishing Co. Pte. Ltd.
2011 journal article
A Quantized Tits-Kantor-Koecher Algebra
ALGEBRAS AND REPRESENTATION THEORY, 14(3), 589โ599.
Contributors: Y. Gaoโ* & nโ
2011 journal article
CODES AND SHIFTED CODES OF PARTITIONS
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 21(8), 1447โ1462.
Contributors: J. Hird n, nโ & E. Stitzinger nโ
2011 journal article
TWO-PARAMETER QUANTUM VERTEX REPRESENTATIONS VIA FINITE GROUPS AND THE MCKAY CORRESPONDENCE
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 363(7), 3769โ3797.
Contributors: & H. Zhangโ* nโ
2010 journal article
A Quantized Tits-Kantor-Koecher Algebra
ALGEBRAS AND REPRESENTATION THEORY, 13(2), 207โ217.
Contributors: Y. Gaoโ* & nโ
2010 journal article
ADDENDUM TO "DRINFELD REALIZATION OF TWISTED QUANTUM AFFINE ALGEBRAS"
COMMUNICATIONS IN ALGEBRA, 38(9), 3484โ3488.
Contributors: & H. Zhangโ* nโ
2010 journal article
Fermionic realization of toroidal Lie algebras of classical types
JOURNAL OF ALGEBRA, 324(2), 183โ194.
Contributors: & K. Misra n nโ
2010 journal article
On vertex operator realizations of Jack functions
JOURNAL OF ALGEBRAIC COMBINATORICS, 32(4), 579โ595.
2010 book
Quantum affine algebras, extended affine Lie algebras, and their applications
In American Mathematical Society.
2010 journal article
Quantum information and entanglement
Advances in Mathematical Physics.
Contributors: S. Fei*, S. Albeverio*, A. Cabelloโ*, nโ & D. Goswamiโ*
2009 journal article
BOSONIC REALIZATION OF TOROIDAL LIE ALGEBRAS OF CLASSICAL TYPES
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 137(11), 3609โ3618.
2009 journal article
Fermionic Realization of Two-Parameter Quantum Affine Algebra Ur,s((sln) over cap)
LETTERS IN MATHEMATICAL PHYSICS, 89(2), 159โ170.
Contributors: & H. Zhangโ* nโ
2009 journal article
Principal realization of the Yangian Y(gl,(n))
JOURNAL OF MATHEMATICAL PHYSICS, 50(1).
Contributors: C. Baiโ*, M. Ge* & nโ
2008 journal article
Quantum algebras associated with Bell states
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 41(5).
Contributors: Y. Zhangโ*, nโ & M. Ge*
2008 journal article
Separability of multi-partite quantum states
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 41(39).
2007 journal article
Affine Lie algebras and product-sum identities
JOURNAL OF ALGEBRA, 314(2), 538โ552.
2007 journal article
Drinfeld realization of twisted quantum affine algebras
COMMUNICATIONS IN ALGEBRA, 35(11), 3683โ3698.
Contributors: H. Zhangโ* & nโ
2006 journal article
Hermitian tensor product approximation of complex matrices and separability
REPORTS ON MATHEMATICAL PHYSICS, 57(2), 271โ288.
2005 journal article
Bosonic realizations of higher-level toroidal Lie algebras
PACIFIC JOURNAL OF MATHEMATICS, 219(2), 285โ301.
2005 journal article
Equivalence of quantum states under local unitary transformations
PHYSICS LETTERS A, 342(1-2), 77โ81.
2004 journal article
U-q (gl(N)) action on gl(N)-modules and quantum toroidal algebras
JOURNAL OF ALGEBRA, 273(1), 320โ343.
Contributors: Y. Gaoโ* & nโ
2004 journal article
Vertex Representations and McKay Correspondence
Algebra Colloquium, 11(1), 53โ70. http://www.scopus.com/inward/record.url?eid=2-s2.0-1842528779&partnerID=MN8TOARS
2003 book
Algebraic combinatorics and quantum groups
In World Scientific Publishing Co., Inc.
2002 journal article
Twisted vertex representations and spin characters
MATHEMATISCHE ZEITSCHRIFT, 239(4), 715โ746.
Contributors: & W. Wang n nโ
2002 journal article
Twisted vertex representations via spin groups and the McKay correspondence
Duke Mathematical Journal, 111(1), 51โ96.
Contributors: I. Frenkel, & W. Wang* *โ
2001 journal article
BRST resolution for the principally graded Wakimoto module of (sl)over-cap(2)
LETTERS IN MATHEMATICAL PHYSICS, 58(3), 181โ188.
Contributors: Y. Haraโ n, nโ & K. Misra n
2001 journal article
On multi-color partitions and the generalized Rogers-Ramanujan identities
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 3(4), 533โ548.
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), 183โ197.
2001 journal article
q-discriminants and vertex operators
Advances in Applied Mathematics, 27(2-3), 482โ492.
2000 journal article
On a Combinatorial Identity
International Mathematics Research Notices, 2000(6), 324โ332. http://www.scopus.com/inward/record.url?eid=2-s2.0-0346737810&partnerID=MN8TOARS
2000 journal article
Quantum Z-algebras and representations of quantum affine algebras
COMMUNICATIONS IN ALGEBRA, 28(2), 829โ844.
2000 journal article
Quantum vertex representations via finite groups and the McKay correspondence
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 211(2), 365โ393.
2000 journal article
The order of groups satisfying a converse to Lagrange's theorem
MATHEMATIKA, 47(93-94), 197โ204.
2000 journal article
Vertex representations via finite groups and the McKay correspondence
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2000(4), 195โ222.
2000 journal article
q-wedge modules for quantized enveloping algebras of classical type
JOURNAL OF ALGEBRA, 230(2), 518โ539.
Contributors: , K. Misra n & M. Okado* nโ
1999 journal article
Gorensteinness of invariant subrings of quantum algebras
JOURNAL OF ALGEBRA, 221(2), 669โ691.
1999 journal article
Level one representations of U-q(G(2)((1)))
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 127(1), 21โ27.
1999 journal article
Level one representations of Uq(G2 (1))
Proceedings of the American Mathematical Society, 127(1), 21โ27. http://www.scopus.com/inward/record.url?eid=2-s2.0-22444452806&partnerID=MN8TOARS
1999 journal article
Level one representations of quantum affine algebras Uq(C n (1))
Selecta Mathematica, New Series, 5(2), 243โ255. http://www.scopus.com/inward/record.url?eid=2-s2.0-53149123269&partnerID=MN8TOARS
1999 journal article
Level two vertex representations of G(1) 2
Communications in Algebra, 27(9), 4355โ4362. http://www.scopus.com/inward/record.url?eid=2-s2.0-0033243918&partnerID=MN8TOARS
1999 journal article
Level two vertex representations of G(2)((1))
COMMUNICATIONS IN ALGEBRA, 27(9), 4355โ4362.
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
1999 journal article
Vertex operators for twisted quantum affine algebras
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 351(4), 1663โ1690.
Contributors: & K. Misra n nโ
1998 journal article
Bosonic realizations of U-q(C-n((1)))
JOURNAL OF ALGEBRA, 200(1), 155โ172.
Contributors: , Y. Koyama n & K. Misra n nโ
1998 journal article
Canonical basis and Macdonald polynomials
ADVANCES IN MATHEMATICS, 140(1), 95โ127.
1998 journal article
Quantum Kac-Moody Algebras and Vertex Representations
Letters in Mathematical Physics, 44(4), 261โ271.
1998 journal article
Vertex operators of admissible modules of U-q(C-n((1)))
JOURNAL OF ALGEBRA, 205(1), 294โ316.
1997 journal article
On the trace of graded automorphisms
JOURNAL OF ALGEBRA, 189(2), 353โ376.
Contributors: & J. Zhangโ* nโ
1996 journal article
Higher level representations of the quantum affine algebra Uq(ลl(2))
Journal of Algebra, 182(2), 448โ468.
1996 journal article
Vertex Operators of Level-One UqBn (1)-modules
Letters in Mathematical Physics, 36(2), 127โ143. http://www.scopus.com/inward/record.url?eid=2-s2.0-0039319607&partnerID=MN8TOARS
1995 journal article
Boson-fermion correspondence for Hall-Littlewood polynomials
Journal of Mathematical Physics, 36(12), 7073โ7080. http://www.scopus.com/inward/record.url?eid=2-s2.0-21844499602&partnerID=MN8TOARS
1995 journal article
Vertex operators of quantum affine Lie algebras Uq(Dn (1))
Communications in Mathematical Physics, 174(2), 367โ392.
Contributors: , S. Kangโ* & Y. Koyama* nโ
1992 journal article
On quantum groups for ZN models
Journal of Physics A: Mathematical and General, 25(13).
1991 journal article
A new quantum group associated with a 'nonstandard' braid group representation
Letters in Mathematical Physics, 21(3), 193โ203.
Contributors: , M. Ge* & Y. Wuโ* *โ
1991 journal article
Vertex operators and Hall-Littlewood symmetric functions
Advances in Mathematics, 87(2), 226โ248.
1991 journal article
Vertex operators, symmetric functions, and the spin group ฮn
Journal of Algebra, 138(2), 340โ398.
1990 journal article
Twisted vertex representations of quantum affine algebras
Inventiones Mathematicae, 102(1), 663โ690.
Updated: August 4th, 2022 03:06
1994 - present