The restricted Kirillov-Reshetikhin modules for the current and twisted current algebras
Representation Theory
2009-11-11 v2 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We define a family of graded restricted modules for the polynomial current algebra associated to a simple Lie algebra. We study the graded character of these modules and show that they are the same as the graded characters of certain Demazure modules. In particular, we see that the specialized characters are the same as those of the Kirillov Reshetikhin modules for quantum affine algebras.
Keywords
Cite
@article{arxiv.math/0507584,
title = {The restricted Kirillov-Reshetikhin modules for the current and twisted current algebras},
author = {Vyjayanthi Chari and Adriano Moura},
journal= {arXiv preprint arXiv:math/0507584},
year = {2009}
}
Comments
23 pages. Minor corrections. Version to appear in Comm. Math. Phys