On the Cohomology of Modular Lie Algebras

Details On the Cohomology of Modular Lie Algebras On the Cohomology of Modular Lie Algebras

2006-08-21

arxiv.org/abs/math/0608525v1

Lie Algebras, Vertex Operator Algebras and Their Applications, Raleigh, NC, 2005 (eds. Y.-Z. Huang and K. C. Misra), Contemp.

Mathematics

Representation Theory

25 pages

Scientific paper

In this paper we establish a connection between the cohomology of a modular
Lie algebra and its p-envelopes. We also compute the cohomology of Zassenhaus
algebras and their minimal p-envelopes with coefficients in generalized baby
Verma modules and in simple modules over fields of characteristic p>2.

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