The inner derivation algebras of (n+1) dimensional n Lie algebras+

DOI10.1080/00927870008827001zbMath0963.17002OpenAlexW2045527637MaRDI QIDQ4487364

Zhixue Zhang, Ruipu Bai, Huifen Shi, Hua-Jun Li

Publication date: 21 June 2000

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

Full work available at URL: https://doi.org/10.1080/00927870008827001

zbMATH Keywords

\(n\)-Lie algebrasright multiplicationsderivation Lie algebras

Mathematics Subject Classification ID

Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (8)

On classification of \((n+1)\)-dimensional \(n\)-Hom-Lie algebras with nilpotent twisting maps ⋮ On classification of (\(n +1\))-dimensional \(n\)-Hom-Lie algebras for \(n =4,5,6\) and nilpotent twisting map with 2-dimensional kernel ⋮ On ideals and derived and central descending series of \(n\)-ary Hom-algebras ⋮ Centroid structures of \(n\)-Lie algebras ⋮ Structure of low dimensional \(n\)-Lie algebras over a field of characteristic 2 ⋮ Generalized derivations and Rota-Baxter operators of \(n\)-ary Hom-Nambu superalgebras ⋮ The Strong Semi-simplen-Lie Algebras ⋮ Cohomology, derivations and abelian extensions of 3-Lie algebras

Cites Work

• Introduction to Lie Algebras and Representation Theory

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