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

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

2005-07-28

arxiv.org/abs/math/0507584v2

Commun.Math.Phys.266:431-454,2006

Mathematics

Representation Theory

23 pages. Minor corrections. Version to appear in Comm. Math. Phys

Scientific paper

10.1007/s00220-006-0032-2

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.

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