Cohomology of Hom-Leibniz algebras via beta-NiJenhuis-Richardson bracket

Abstract

In this paper we define the left and right β-Richardson-Nijenhuis bracket. With this bracket we define a right, left and symmetric 2p-Hom-Leibniz algebras and their cohomology. Moreover with the β-RN bracket we study the extension of deformation of Hom-Leibniz algebra.