Representations and Cohomology of n-ary multiplicative Hom-Nambu-Lie algebras

Abstract

The aim of this paper is to provide cohomologies of $n$-ary Hom-Nambu-Lie algebras governing central extensions and one parameter formal deformations. We generalize to $n$-ary algebras the notions of derivations and representation introduced by Sheng for Hom-Lie algebras. Also we show that a cohomology of $n$-ary Hom-Nambu-Lie algebras could be derived from the cohomology of Hom-Leibniz algebras.

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Cited by in corpus (12)

• Matrix 3-Lie superalgebras and BRST supersymmetry
• One-parameter formal deformations of Hom-Lie-Yamaguti algebras
• Cohomology of Hom-Leibniz and $n$-ary Hom-Nambu-Lie superalgebras
• On universal central extensions of Hom_Leibniz algebras
• Extensions of hom-Lie color algebras
• The constructions of 3-Hom-Lie bialgebras
• Non-Commutative ternary Nambu-Poisson algebras and ternary Hom-Nambu-Poisson algebras
• Generalized representations of 3-Hom-Lie algebras
• Enveloping algebras of color hom-Lie algebras
• Representations and deformations of Hom-Lie-Yamaguti superalgebras
• Double derivations of $n-$Hom-Lie color algebras
• Generalized derivations of Hom-Jordan algebras