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Characters of irreducible modules with non-critical highest weights over affine Lie algebras

Masaki Kashiwara, Toshiyuki Tanisaki

math.RTarXiv:math/9903123

Abstract

We shall derive Kazhdan-Lusztig type character formula for the irreducible modules with arbitrary non-critical highest weights over affine Lie algebras from the rational case by using the translation functor, the Enright functor and Jantzen's deformation argument.

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