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

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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.
16 pages. To appear in Journal of Algebra

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Representation Theory, 17B65; 17B68

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http://salesiana.dossiersoluciones.com/handle/123456789/66193

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0301049
 http://arxiv.org/abs/math/0301049

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arXiv