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math.RA2023
Cohomology and deformation of compatible Hom-Leibniz algebras
Rinkila Bhutia, RB Yadav, Namita Behera
In this paper, we consider compatible Hom-Leibniz algebra where the Hom map twists the operations in the compatible system. We consider a suitably graded Lie algebra whose Maurer-C…
math.RA2023
Cohomology and deformations of compatible Leibniz algebras
RB Yadav, Rinkila Bhutia, Namita Behera
In this paper we study a cohomology theory of compatible Leibniz algebra. We construct a graded Lie algebra whose Maurer-Cartan elements characterize the structure of compatible Le…
math.GM2023
Equivariant Cohomology of Lie superalgebras
RB Yadav, Subir Mukhopadhyay
In this article, we give Maurer-Cartan characterizations of equivariant Lie superalgebra structures. We introduce equivariant cohomology and equivariant formal deformation theory o…