On ad-semisimple Lie algebras

DOI10.1016/0021-8693(83)90236-3zbMath0521.17003OpenAlexW2077660821WikidataQ115367088 ScholiaQ115367088MaRDI QIDQ1055534

Rolf Farnsteiner

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90236-3

zbMATH Keywords

Brauer groupad-semisimple Lie algebrassemisimple derivationsimple- semiabelian Lie algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05)

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Elementary Lie algebras and Lie \(A\)-algebras, On simple semiabelianp-adic lie algebras, On Malcev algebras in which all subideals are ideals, Lie algebras with anisotropic Engel subalgebras, Minimal noncommutative and minimal nonabelian algebras, Restricted Lie algebras all whose elements are semisimple, ON SEMI-MODULAR SUBALGEBRAS OF LIE ALGEBRAS OVER FIELDS OF ARBITRARY CHARACTERISTIC, Lattice isomorphisms of Malcev algebras, The Associative Forms of the Graded Cartan Type Lie Algebras, Lie algebras none of whose engel subalgebras are in intermediate position*, Two generator subalgebras of Lie algebras, On Lie Algebras All of Whose Minimal Subalgebras Are Lower Modular, A note on modularity in Mal'cev algebras, Existence of Ad-Nilpotent Elements and Simple Lie Algebras with Subalgebras of Codimension One, On almost nilpotent-by-abelian Lie algebras, Lower semimodular Lie algebras, On regular Lie algebras, Quaternionic Lie algebras, Conditions for the commutativity of restricted lie algebras, Shapiro's lemma and its consequences in the cohomology theory of modular Lie algebras, Abelian subalgebras on Lie algebras

Cites Work

• Lie algebras all of whose proper subalgebras are nilpotent
• Relative Homological Algebra and Homological Dimension of Lie Algebras
• On the Commutativity of Restricted Lie Algebra
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