Conditions for the commutativity of restricted lie algebras

DOI10.1080/00927878508823234zbMath0565.17005OpenAlexW1538718769MaRDI QIDQ3679359

Rolf Farnsteiner

Publication date: 1985

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878508823234

zbMATH Keywords

restricted Lie algebracommutativitycohomology groupprime characteristicJacobson's conjecturesquasi-toral Lie algebra

Mathematics Subject Classification ID

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

Related Items

On the cohomology of restricted lie algebras, Restricted and quasi-toral restricted Lie-Rinehart algebras, Restricted Lie algebras all whose elements are semisimple, Cohomology groups of reduced enveloping algebras, Shapiro's lemma and its consequences in the cohomology theory of modular Lie algebras

Cites Work

• Classification of the restricted simple Lie algebras with toral Cartan subalgebras
• On ad-semisimple Lie algebras
• A theory of linear descent based upon Hopf algebraic techniques
• The cohomology of restricted Lie algebras and of Hopf algebras
• Cohomology of Restricted Lie Algebras