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.

References in corpus (5)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• n-ary algebras: a review with applications
• Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras
• Cohomology of Filippov algebras and an analogue of Whitehead's lemma
• A Hom-associative analogue of n-ary Hom-Nambu algebras