Communications in Mathematical Physics

, Volume 266, Issue 2, pp 431–454

The Restricted Kirillov–Reshetikhin Modules for the Current and Twisted Current Algebras


DOI: 10.1007/s00220-006-0032-2

Cite this article as:
Chari, V. & Moura, A. Commun. Math. Phys. (2006) 266: 431. doi: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.

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of CaliforniaRiversideUSA
  2. 2.UNICAMP - IMECCCampinasBrazil

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