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 (25)

• Hom-Lie 2-algebras
• Construction of n-Lie algebras and n-ary Hom-Nambu-Lie algebras
• Representations and module-extensions of hom 3-Lie algebras
• Matrix 3-Lie superalgebras and BRST supersymmetry
• Cohomology and 1-parameter formal deformations of Hom-Lie triple systems
• One-parameter formal deformations of Hom-Lie-Yamaguti algebras
• Another approach to Hom-Lie bialgebras via Manin triples
• On split Regular Hom-Leibniz algebras
• Cohomology of Hom-Leibniz and $n$-ary Hom-Nambu-Lie superalgebras
• Quadratic $n$-ary Hom-Nambu algebras
• Extensions of hom-Lie color algebras
• On universal central extensions of Hom_Leibniz algebras
• On the cohomology and extensions of $n$-ary multiplicative Hom-Nambu-Lie superalgebras
• A non-abelian Hom-Leibniz tensor product and applications
• The constructions of 3-Hom-Lie bialgebras
• A new approach to hom-Lie bialgebras
• Generalized representations of 3-Hom-Lie algebras
• Non-Commutative ternary Nambu-Poisson algebras and ternary Hom-Nambu-Poisson algebras
• Generalized derivations of Hom-Jordan algebras
• Representations and deformations of Hom-Lie-Yamaguti superalgebras
• Double derivations of $n-$Hom-Lie color algebras
• Cohomologies, deformations and extensions of n-Hom-Lie algebras
• On split regular Hom-Lie color algebras
• On the deformations and derivations of $n$-ary multiplicative Hom-Nambu-Lie superalgebras
• Enveloping algebras of color hom-Lie algebras