Some constructions of multiplicative \(n\)-ary Hom-Nambu algebras

DOI10.1007/s00006-019-0996-6zbMath1435.17030arXiv1809.01067OpenAlexW3123297667MaRDI QIDQ2010529

Abdelkader Ben Hassine, Othmen Ncib, Sami Mabrouk

Publication date: 27 November 2019

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.01067

zbMATH Keywords

derivation\(n\)-ary Nambu algebraHom-Lie \(n\)-tuple systemHom-Lie triple systemquasiderivation

Mathematics Subject Classification ID

Other (n)-ary compositions ((n ge 3)) (17A42) (non-Lie) Hom algebras and topics (17D30)

Related Items

Ternary Hom-Jordan algebras induced by Hom-Jordan algebras ⋮ 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 \((\lambda,\mu,\gamma)\)-derivations of BiHom-Lie algebras ⋮ HNN-extension of involutive multiplicative Hom-Lie algebras ⋮ Drinfeld double for infinitesimal BiHom-bialgebras ⋮ Maurer-Cartan characterizations and cohomologies of crossed homomorphisms on Lie triple systems ⋮ On ideals and derived and central descending series of \(n\)-ary Hom-algebras ⋮ Structure and cohomology of 3-Lie-Rinehart superalgebras ⋮ Generalized derivations and Rota-Baxter operators of \(n\)-ary Hom-Nambu superalgebras

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