On Cohomology of Simple Modules for Modular Classical Lie Algebras

Author:

Ibraev Sherali S.ORCID,Kainbaeva Larissa S.ORCID,Menlikozhaeva Saulesh K.ORCID

Abstract

In this article, we obtain some cohomology of classical Lie algebras over an algebraically closed field of characteristic p>h, where h is a Coxeter number, with coefficients in simple modules. We assume that these classical Lie algebras are Lie algebras of semisimple and simply connected algebraic groups. To describe the cohomology of simple modules, we will use the properties of the connections between ordinary and restricted cohomology of restricted Lie algebras.

Funder

Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Reference38 articles.

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