Abelian extensions of modular Lie algebras

DOI10.1007/BF01978701zbMath0586.17008OpenAlexW2019131714WikidataQ115393027 ScholiaQ115393027MaRDI QIDQ1071855

A. S. Dzhumadil'daev

Publication date: 1985

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187299

zbMATH Keywords

positive characteristicZassenhaus algebraminimal idealabelian extensions of Lie algebrascohomology of modular Lie algebrasindecomposable extensionsLevi-Malcev theoremmodular analogues of Whitehead's lemmasolvable Lie algebras with abelian kerneltriviality of the cohomology

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Modular Lie (super)algebras (17B50)

Related Items

Cohomology of \(\mathfrak{sl}_3\) and \(\mathfrak{gl}_3\) with coefficients in simple modules and Weyl modules in positive characteristics

Cites Work

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• Cohomology of Lie algebras
• Restricted Lie Algebras of Characteristic p
• The Representations of Lie Algebras of Prime Characteristic