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Generalized Spencer Cohomology and filtered Deformations of Z-graded Lie Superalgebras

Shun-Jen Cheng·Victor G. Kac
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Abstract

In this paper we introduce generalized Spencer cohomology for finite depth Z-graded Lie (super)algebras. We develop a method of finding filtered deformations of such Z-graded Lie (super)algebras based on this cohomology. As an application we determine all simple filtered deformations of certain Z-graded Lie superalgebras classified in [K3], thus completing the last step in the classification of simple infinite-dimensional linearly compact Lie superalgebras.

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BibTeXRIS

Shun-Jen Cheng, Victor G. Kac. 1999-03-30. Generalized Spencer Cohomology and filtered Deformations of Z-graded Lie Superalgebras. https://arxiv.org/abs/math/9805039

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