Showing math.QAShow all
3 papers · 1 filter
math.QA2000
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…
math.QA2000
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…
math.QA1998
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…