On the Deformations and Derivations of n-Ary Multiplicative Hom-Nambu-Lie Superalgebras

الملخص EN

We introduce the relevant concepts of n-ary multiplicative Hom-Nambu-Lie superalgebras and construct three classes of n-ary multiplicative Hom-Nambu-Lie superalgebras.

As a generalization of the notion of derivations for n-ary multiplicative Hom-Nambu-Lie algebras, we discuss the derivations of n-ary multiplicative Hom-Nambu-Lie superalgebras.

In addition, the theory of one parameter formal deformation of n-ary multiplicative Hom-Nambu-Lie superalgebras is developed by choosing a suitable cohomology.