Representations And Universal Central Extensions Of Hom-Leibniz Superalgebras

The purpose of this paper is to define the representation, the cohomology and universal central ex-tensions of Hom-Leibniz superalgebras. In particular, the derivations and the trivial representation of Hom-Leibniz superalgebras are studied in detail.Deformation; central extensions and derivation extensions of Hom-Leibniz superalgebras are also studied as an application.