72 citations · 1.4k across the 187 of their papers we have counts for
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General Capelli-type identities
Naihuan Jing, Yinlong Liu, Jian Zhang
The classical Capelli identity is an important determinantal identity of a matrix with noncommutative entries that determines the center of the enveloping algebra of the general li…
Q-Kostka polynomials and spin Green polynomials
Anguo Jiang, Naihuan Jing, Ning Liu
We study the -Kostka polynomials by the vertex operator realization of the -Hall-Littlewood functions and derive new formulae for . In parti…
Quantum algebra of multiparameter Manin matrices
Naihuan Jing, Yinlong Liu, Jian Zhang
Multiparametric quantum semigroups are generalization of the one-parameter general linear semigroups , where …
Semi-infinite construction for the double Yangian of type
Marijana Butorac, Naihuan Jing, Slaven Kožić +1
We consider certain infinite dimensional modules of level 1 for the double Yangian which are based on the Iohara-Kohno realization. We show that they p…
Quantum Sugawara operators in type
Naihuan Jing, Ming Liu, Alexander Molev
We construct Sugawara operators for the quantum affine algebra of type in an explicit form. The operators are associated with primitive idempotents of the Hecke algebra and par…
Twisted quantum affine algebras and equivariant -coordinated modules for quantum vertex algebras
Naihuan Jing, Fei Kong, Haisheng Li +1
This paper is about establishing a natural connection of quantum affine algebras with quantum vertex algebras. Among the main results, we establish -adic versions of the sma…