13 citations · 20 across the 5 of their papers we have counts for
11 papers · 1 filter
Quantum loop modules
Vyjayanthi Chari, Jacob Greenstein
We classify the simple infinite dimensional integrable modules with finite dimensional weight spaces over the quantized enveloping algebra of an untwisted affine algebra. We prove…
Representations of Double Affine Lie algebras
Vyjayanthi Chari, Thang Le
We study representations of the double affine Lie algebra associated to a simple Lie algebra. We construct a family of indecomposable integrable representations and identify their…
Braid Group Actions and Tensor Products
Vyjayanthi Chari
We define an action of the braid group of a simple Lie algebra on the space of imaginary roots in the corresponding quantum affine algebra. We then use this action to determine an…
Tensor products of level zero representations
Vyjayanthi Chari
We define an action of the braid group (associated with a simple Lie algebra) on the space of -tuples of power series in an indeterminate u, with constant term zero. Using this,…
Symmetric Functions and Representations of Quantum Affine Algebras
Vyjayanthi Chari, Michael Kleber
We study connections between the ring of symmetric functions and the characters of irreducible finite-dimensional representations of quantum affine algebras. We study two families…
Integrable and Weyl modules for quantum affine sl_2
Vyjayanthi Chari, Andrew Pressley
We study the universal integrable modules W_q(m) of level zero for quantum affine sl_2 and a family of maximal finite--dimensional quotients of these modules. We show that these al…