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.
@article{0507584,
author = {Chari, Vyjayanthi and Moura, Adriano},
title = {The restricted Kirillov-Reshetikhin modules for the current and twisted
current algebras},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0507584}
}
Chari, Vyjayanthi; Moura, Adriano. The restricted Kirillov-Reshetikhin modules for the current and twisted
current algebras. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0507584/