Derivation double Lie algebras

DOI10.1142/S0219498816501140zbMath1405.17009arXiv1411.0950WikidataQ115245648 ScholiaQ115245648MaRDI QIDQ2803568

Dietrich Burde

Publication date: 2 May 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.0950

zbMATH Keywords

post-Lie algebraclassical \(R\)-matrixderivation double Lie algebra

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Structure theory for Lie algebras and superalgebras (17B05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Lie bialgebras; Lie coalgebras (17B62) Solvable, nilpotent (super)algebras (17B30) Simple, semisimple, reductive (super)algebras (17B20)

Cites Work

• Unnamed Item
• Left-symmetric algebras, or pre-Lie algebras in geometry and physics
• Hom-algebra structures
• Affine actions on nilpotent Lie groups
• Post-Lie algebra structures and generalized derivations of semisimple Lie algebras

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