Some constructions of multiplicative $n$-ary Hom-Nambu algebras

Abdelkader Ben Hassine, Sami Mabrouk, Othmen Ncib

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-ar…