72 citations · 1.4k across the 187 of their papers we have counts for
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-Wedge Modules for Quantized Enveloping Algebras of Classical Type
Naihuan Jing, Kailash C. Misra, Masato Okado
We use the fusion construction in the twisted quantum affine algebras to obtain a unified method to deform the wedge product for classical Lie algebras. As a byproduct we uniformly…
Gorensteinness of invariant subrings of quantum algebras
Naihuan Jing, James J. Zhang
We prove Auslander-Gorenstein and $\GKdim$-Macaulay properties for certain invariant subrings of some quantum algebras, the Weyl algebras, and the universal enveloping algebras of…
Canonical Basis and Macdonald Polynomials
Jonathan Beck, Igor Frenkel, Naihuan Jing
In the basic representation of realized via the algebra of symmetric functions we compare the canonical basis with the basis of Macdonald polynomials with $q=t^2…
Quantum Z-algebras and representations of quantum affine algebras
Naihuan Jing
Generalizing our earlier work, we introduce the homogeneous quantum -algebras for all quantum affine algebras $\alg$ of type one. With the new algebras we unite previously scatt…
Quantum Kac-Moody Algebras and Vertex Representations
Naihuan Jing
We introduce an affinization of the quantum Kac-Moody algebra associated to a symmetric generalized Cartan matrix. Based on the affinization, we construct a representation of the q…
Level One Representations of Quantum Affine Algebras
Naihuan Jing, Yoshitaka Koyama, Kailash Misra
We give explicit constructions of quantum symplectic affine algebras at level 1 using vertex operators.