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 superal-gebras we use the representations and Rota-Baxter operators. We introduce the structures ofn-ary Hom-Nambu Poisson superalgebras and their representations and we study relationships between Hom-Poissonsuperalgebras and its inducedn-ary Hom-Nambu Poisson superalgebras. The same concept is given for therepresentations ofn-ary Hom-Nambu Poisson superalgebras.