On Hom-Nambu-Poisson superalgebras structures and their representations

Abstract

The purpose of this paper is to study some results of constructions on Hom-Poisson superalgebras we use the representations and Rota-Baxter operators. We introduce the structures of n-ary Hom-Nambu Poisson superalgebras and their representations and we study relationships between Hom-Poisson superalgebras and its induced n-ary Hom-Nambu Poisson superalgebras. The same concept is given for the representations of n-ary Hom-Nambu Poisson superalgebras.