Nonsplit extensions of modular Lie algebras of rank 2

DOI10.4310/HHA.2002.v4.n2.a7zbMath0997.17007OpenAlexW2137094834MaRDI QIDQ1605634

A. S. Dzhumadil'daev, Sherali Shapataevich Ibraev

Publication date: 1 August 2002

Published in: Homology, Homotopy and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/49489

zbMATH Keywords

second cohomology groupsmodular Lie algebrasnon-split extensionsLevi-Mal'cev theoremrestricted cohomology groupssecond Whitehead lemmasimple Lie algebras of classical type

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Cohomology of Lie (super)algebras (17B56) Simple, semisimple, reductive (super)algebras (17B20) Modular Lie (super)algebras (17B50)

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Cohomology of \(\mathfrak{sl}_3\) and \(\mathfrak{gl}_3\) with coefficients in simple modules and Weyl modules in positive characteristics ⋮ Derivations and central extensions of symmetric modular Lie algebras and superalgebras (with an appendix by Andrey Krutov)

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