Some constructions of multiplicative $n$-ary Hom-Nambu algebras
Rings and Algebras
2020-03-18 v1
Abstract
We show that given a Hom-Lie algebra one can construct the n-ary Hom-Lie bracket by means of an (n-2)-cochain of given Hom-Lie algebra and find the conditions under which this n-ary bracket satisfies the Filippov-Jacobi identity, there by inducing the structure of n-Hom-Lie algebra. We introduce the notion of Hom-Lie -uplet system which is the generalization of Hom-Lie triple system. We construct Hom-Lie -uplet system using a Hom-Lie algebra.
Keywords
Cite
@article{arxiv.1809.01067,
title = {Some constructions of multiplicative $n$-ary Hom-Nambu algebras},
author = {Abdelkader Ben Hassine and Sami Mabrouk and Othmen Ncib},
journal= {arXiv preprint arXiv:1809.01067},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1605.08281 by other authors