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arXiv · 1010.5896

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

F. Ammar·S. Mabrouk·A. Makhlouf
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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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F. Ammar, S. Mabrouk, A. Makhlouf. 2010-10-28. Representations and Cohomology of n-ary multiplicative Hom-Nambu-Lie algebras. https://doi.org/10.1016/j.geomphys.2011.04.022

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