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arXiv:math/0507584 [math.RT]AbstractReferencesReviewsResources

The restricted Kirillov-Reshetikhin modules for the current and twisted current algebras

Vyjayanthi Chari, Adriano Moura

Published 2005-07-28, updated 2006-04-12Version 2

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.

Comments: 23 pages. Minor corrections. Version to appear in Comm. Math. Phys
Journal: Commun.Math.Phys.266:431-454,2006
Categories: math.RT, math-ph, math.MP, math.QA
Subjects: 17B10, 17B70
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