72 citations · 1.4k across the 187 of their papers we have counts for
7 papers · 2 filters
Realization of level one representations of at a root of unity
Vyjayanthi Chari, Naihuan Jing
Using vertex operators, we construct explicitly Lusztig's -lattice for the level one irreducible representations of quantum affine algebras of ADE type. We th…
Quantum vertex representations via finite groups and the McKay correspondence
Igor Frenkel, Naihuan Jing, Weiqiang Wang
We establish a -analog of our recent work on vertex representations and the McKay correspondence. For each finite group we construct a Fock space and associated vertex opera…
Vertex representations via finite groups and the McKay correspondence
Igor Frenkel, Naihuan Jing, Weiqiang Wang
Given a finite group and a virtual character $\wt$ on it, we construct a Fock space and associated vertex operators in terms of representation ring of wreath products $Γ\sim S_…
On a Combinatorial Identity
Jintai Ding, Naihuan Jing
Recently the second named author discovered a combinatorial identity in the context of vertex representations of quantum Kac-Moody algebras. We give a direct and elementary proof o…
Symmetric Polynomials and
Naihuan Jing
We study the explicit formula of Lusztig's integral forms of the level one quantum affine algebra in the endomorphism ring of symmetric functions in infinitely ma…
q-Vertex operators for quantum affine algebras
Naihuan Jing, Kailash C. Misra
-vertex operators for quantum affine algebras have played important role in the theory of solvable lattice models and the quantum Knizhnik-Zamolodchikov equation. Explicit const…
New twisted quantum current algebras
Naihuan Jing
We introduce a twisted quantum affine algebra associated to each simply laced finite dimensional simple Lie algebra. This new algebra is a Hopf algebra with a Drinfeld-type comulti…