Spectral Characters of Finite-Dimensional Representations of Affine Algebras

Details Spectral Characters of Finite-Dimensional Representations of Affine Algebras Spectral Characters of Finite-Dimensional Representations of Affine Algebras

2003-12-10

arxiv.org/abs/math/0312199v2

Mathematics

Representation Theory

More concise proofs for Propositions 1.2 and 2.4 added. To appear in Journal of Algebra

Scientific paper

We introduce the notion of a spectral character for finite-dimensional representations of affine algebras. These can be viewed as a suitable q=1 limit of the elliptic characters defined by Etingof and Moura for quantum affine algebras. We show that these characters determine blocks of the category of finite-dimensional modules for affine algebras. To do this we use the Weyl modules defined by Chari and Pressley and some indecomposable reducible quotient of the Weyl modules.

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