ON SIMPLE FILIPPOV SUPERALGEBRAS OF TYPE A(n, n)

DOI10.1142/S1793557108000394zbMath1208.17008arXiv1008.0120OpenAlexW2152590679MaRDI QIDQ3622566

P. D. Beites, Alexander P. Pozhidaev

Publication date: 28 April 2009

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.0120

zbMATH Keywords

Filippov superalgebra(semi)simple (super)algebra\(n\)-Lie (super)algebrairreducible module over \(n\)-Lie superalgebra

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17B99) Other nonassociative rings and algebras (17D99) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (5)

On ID^∗-derivations of Filippov algebras ⋮ Generalized derivations of multiplicative \(n\)-ary \(\Hom\text{-}\Omega\) color algebras ⋮ A characterization of finite dimensional nilpotent Filippov algebras ⋮ \(n\)-ary generalized Lie-type color algebras admitting a quasi-multiplicative basis ⋮ Generalized derivations of (color)n-ary algebras

Cites Work

• On Filippov algebroids and multiplicative Nambu-Poisson structures
• ON SIMPLE FILIPPOV SUPERALGEBRAS OF TYPE B(0,n)
• Enveloping Algebras of Filippov Algebras
• Solvability of Finite-Dimensionaln-ary Commutative Leibniz Algebras of Characteristic 0
• Lie superalgebras

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