4 papers · 1 filter
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…
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…
Cohomology and Deformation of Leibniz Superalgebras
RB Yadav
In this article, we introduce a deformation cohomology of Leibniz superalgebras. Also, we introduce formal deformation theory of Leibniz superalgebras. Using deformation cohomology…
Equivariant one-parameter deformations of Lie triple systems
RB Yadav, Namita Behera, Rinkila Bhutia
In this article, we introduce equivariant formal deformation theory of Lie triple systems. We introduce an equivariant deformation cohomology of Lie triple systems and using this w…