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

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

2010-10-28

arxiv.org/abs/1010.5896v2

J.Geom.Phys.61:1898-1913,2011

Mathematics

Rings and Algebras

Scientific paper

10.1016/j.geomphys.2011.04.022

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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