81 research outputs found
Complete reducibility of integrable modules for the affine Lie(super) algebras
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.Comment: 16 pages. To appear in Journal of Algebr
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