2018/09/04 by Abdelkader Ben Hassine, Sami Mabrouk, Othmen Ncib
Mathematics · #math.RA #msc:17A30 #msc:17A36 #msc:17A40 #msc:17A42
paper · pdf · doi:10.1007/s00006-019-0996-6
published as Advances in Applied Clifford Algebras 29(5), 2019 · arXiv admin note: text overlap with arXiv:1605.08281 by other authors
arxiv created 2018/09/04 · arxiv updated 2020/03/18
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 n-uplet system which is the generalization of Hom-Lie triple system. We construct Hom-Lie n-uplet system using a Hom-Lie algebra.