Complete reducibility of integrable modules for the affine Lie(super) algebras

Details Complete reducibility of integrable modules for the affine Lie(super) algebras Complete reducibility of integrable modules for the affine Lie(super) algebras

2003-01-07

arxiv.org/abs/math/0301049v1

Mathematics

Representation Theory

16 pages. To appear in Journal of Algebra

Scientific paper

We prove complete reducibility for an integrable module for an affine Lie
algebra where the canonical central element acts non-trivially. We further
prove that integrable modules does not exists for most of the super affine Lie
algebras where the center acts non-trivially.

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