On the existence of ad-nilpotent elements

DOI10.1007/s13370-014-0246-yzbMath1350.17004OpenAlexW2065891823MaRDI QIDQ497015

Côme J. A. Béré, Nakelgbamba Boukary Pilabré, Marie Françoise Ouedraogo

Publication date: 23 September 2015

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-014-0246-y

zbMATH Keywords

Lie algebrasmoduleLeibniz algebrasderivationad-nilpotentanti-derivation

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32)

Cites Work

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• A characterization of nilpotent Leibniz algebras
• A noncommutative version of Lie algebras: Leibniz algebras
• Cartan subalgebras, weight spaces, and criterion of solvability of finite dimensional Leibniz algebras
• Existence of Ad-Nilpotent Elements and Simple Lie Algebras with Subalgebras of Codimension One
• On the Existence of Ad-Nilpotent Elements

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