72 citations · 1.4k across the 187 of their papers we have counts for
8 papers · 1 filter
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…
On Multi-color partitions and the generalized Rogers-Ramanujan identities
Naihuan Jing, Kailash Misra, Carla Savage
Basil Gordon, in the sixties, and George Andrews, in the seventies, generalized the Rogers-Ramanujan identities to higher moduli. These identities arise in many areas of mathematic…
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…