Representations and Deformations of Hom-Lie-Yamaguti Superalgebras

الملخص EN

Let L,α be a Hom-Lie-Yamaguti superalgebra.

We first introduce the representation and cohomology theory of Hom-Lie-Yamaguti superalgebras.

Also, we introduce the notions of generalized derivations and representations of L,α and present some properties.

Finally, we investigate the deformations of L,α by choosing some suitable cohomology.