116 citations · 257 across the 10 of their papers we have counts for
10 papers
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…
Weyl Modules for Classical and Quantum Affine algebras
Vyjayanthi Chari, Andrew Pressley
We define a family of universal finite-dimensional highest weight modules for affine Lie algebras, we call these Weyl modules. We conjecture that these are the classical limits of…
An Algebraic Characterization of the Affine Canonical Basis
Jonathan Beck, Vyjayanthi Chari, Andrew Pressley
The canonical basis for quantized universal enveloping algebras associated to the finite--dimensional simple Lie algebras, was introduced by Lusztig. The principal technique is the…
Twisted Quantum Affine Algebras
Vyjayanthi Chari, Andrew Pressley
We classify the irreducible finite-dimensional representations of the twisted quantum affine algebras.
Quantum Affine Algebras at Roots of Unity
Vyjayanthi Chari, Andrew Pressley
We study the restricted form of the qaunatized enveloping algebra of an untwisted affine Lie algebra and prove a triangular decomposition for it. In proving the decomposition we pr…
Yangians: their Representations and Characters
Vyjayanthi Chari, Andrew Pressley
We give several formulas for the character of an arbitrary irreducible finite--dimensional representation for the Yangian of sl_2.