Homotopism of Homological Complexes over Nonassociative Algebras with Metagroup Relations

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.

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Satellites of Functors for Nonassociative Algebras with Metagroup Relations

Lüdkovsky

2022

Mathematics

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Homotopism of Homological Complexes over Nonassociative Algebras with Metagroup Relations

Abstract: The article is devoted to homological complexes. Smashly graded modules and complexes are studied over nonassociative algebras with metagroup relations. Smashed tensor products of homological complexes are investigated. Their homotopisms and homologisms are scrutinized.

Cited by 5 publications

References 29 publications

Torsion for Homological Complexes of Nonassociative Algebras with Metagroup Relations

Torsion for Homological Complexes of Nonassociative Algebras with Metagroup Relations

On Cohomology of Simple Modules for Modular Classical Lie Algebras

Satellites of Functors for Nonassociative Algebras with Metagroup Relations

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