Reynolds operators on Hom-Leibniz algebras

In this paper, we first introduce the notion of Reynolds operators on Hom-Leibniz algebras and give some constructions. Furthermore, we define the cohomology of Reynolds operators, and use this cohomology to study deformations of Reynolds operators. As applications, we introduce and study NS-Hom-Leibniz algebras as the underlying structure of Reynolds operators.

Automated summary

In this paper, the concept of Reynolds operators on Hom-Leibniz algebras is introduced and some constructions are given. The cohomology of Reynolds operators is defined and used to study deformations of Reynolds operators. As applications, NS-Hom-Leibniz algebras are introduced and studied as the underlying structure of Reynolds operators.