On Schur’s theorem and its converses forn-Lie algebras

DOI10.1080/03081087.2013.809871zbMath1307.17007OpenAlexW2053126454WikidataQ115299712 ScholiaQ115299712MaRDI QIDQ2926013

Banafsheh Veisi, Farshid Saeedi

Publication date: 29 October 2014

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2013.809871

zbMATH Keywords

Lie algebraderivationSchur theorem\(n\)-Lie algebraBaer theoremisoclinism

Mathematics Subject Classification ID

Derivations, actions of Lie algebras (16W25) Lie algebras and Lie superalgebras (17B99) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (6)

The Schur multiplier of an n-Lie superalgebra ⋮ On ID^∗-derivations of Filippov algebras ⋮ Some Properties On Isoclinism inn-Lie Algebras ⋮ Some properties of m-isoclinism and ID^*-derivations in Filippov algebras ⋮ A characterization of finite dimensional nilpotent Filippov algebras ⋮ Some properties of isoclinism in Lie superalgebras

Cites Work

• The converse of Schur's theorem
• The absolute centre of a group
• Endlichkeitskriterien für Kommutatorgruppen
• Concerning derivations of lie algebras

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