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Naihuan Jing
Researcher at North Carolina State University
Publications - 309
Citations - 2821
Naihuan Jing is an academic researcher from North Carolina State University. The author has contributed to research in topics: Quantum affine algebra & Vertex (graph theory). The author has an hindex of 22, co-authored 270 publications receiving 2391 citations. Previous affiliations of Naihuan Jing include Yale University & South China University of Technology.
Papers
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Vertex representations of quantum affine algebras.
Igor Frenkel,Naihuan Jing +1 more
TL;DR: In the case of the quantum affine algebra of type A, this work introduces vertex operators corresponding to all the roots and determine their commutation relations, which provides an analogue of a Chevalley basis of the affine Lie algebra [unk](n) in the basic representation.
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Vertex operators and Hall-Littlewood symmetric functions
TL;DR: In this article, it was shown that Kostka-Foulkes polynomials (or certain Kazhdan-Lusztig polynomial for the affine Weyl group of type A) are matrix coefficients on the space V.
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Vertex operators, symmetric functions, and the spin group Γn
TL;DR: In this article, a vertex operator approach to the symmetric group Sn and its double covering group Γn is presented, and a distinguished orthogonal basis of V corresponds to the set of nontrivial irreducible characters of Γ n, where both are parametrized by partitions with odd integer parts.
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Twisted vertex representations of quantum affine algebras
TL;DR: In this paper, the authors constructed vertex representations of quantum affine algebras twisted by an automorphism of the Dynkin diagram, which generalizes certain important cases in the ordinary twisted vertex operator calculus.
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Vertex representations via finite groups and the McKay correspondence
TL;DR: In this paper, the authors constructed a Fock space and associated vertex operators in terms of representation ring of wreath products for affine and toroidal Lie algebras.