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

✍ Scribed by S. Eswara Rao

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 107 KB
Volume: 264
Category: Article
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(03)00106-6

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✦ Synopsis

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 superaffine Lie algebras where the center acts non-trivially.

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