5 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 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…