CENTRAL EXTENSIONS OF THE ZASSENHAUS ALGEBRA AND THEIR IRREDUCIBLE REPRESENTATIONS

DOI10.1070/SM1986V054N02ABEH002980zbMath0586.17009OpenAlexW2021074688MaRDI QIDQ3712463

A. S. Dzhumadil'daev

Publication date: 1986

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1986v054n02abeh002980

zbMATH Keywords

cohomologycentral extensionsirreducible representationsZassenhaus algebrageneralized Casimir elementCartan extensionsmodular Virasoro algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Cohomology of Lie (super)algebras (17B56) Modular Lie (super)algebras (17B50)

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Derivations and central extensions of symmetric modular Lie algebras and superalgebras (with an appendix by Andrey Krutov) ⋮ Deformations of \(W_{1}(n)\otimes A\) and modular semisimple Lie algebras with a solvable maximal subalgebra.

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