activity
20182026
most citedEquivariant one-parameter deformations of Lie triple systems

15 citations · 16 across the 11 of their papers we have counts for

collaborators

11 papers

math.GM2026

Crossed Homomorphisms on associative superalgebras

RB Yadav, Arpan Sharma

In this paper, we introduce the notion of crossed homomorphisms on associative superalgebras. We show that crossed homomorphisms are precisely the Maurer--Cartan elements of a natu…

math.GM2025

Characterization and Cohomology of Crossed Homomorphisms on Lie Superalgebras

RB Yadav, Arpan Sharma

In this article, we give a characterisation of crossed homomorphisms on Lie superalgebras as a Maurer-Cartan element of a graded Lie algebra. Using this characterisation we study c…

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…

math.GM2022★ 1 cited

Equivariant cohomology, deformations and central extension of Hom Lie triple systems

Rinkila Bhutia, RB Yadav, Namita Behera

In this paper, we study equivariant cohomolgy theory of Hom Lie Triple Systems. Using this cohomology, we study 1-parameter formal deformation and central extensions of Hom Lie Tri…

math.RA2021

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…

math.RA2020★ 15 cited

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…

math.RA2018

Cohomology and deformations of module homorphisms

RB Yadav, Liangyun Chen, Yao Ma +1

In this paper, we mainly focus on formal deformation theory of module homomorphisms. We first introduce the cohomology of module homomorphisms and study formal one-parameter deform…

math.GM2018

On study of a metric on C(S^1; S^1)

RB Yadav, Srikanth KV

In this article we define a metric on C(S1; S1). Also, we give some density results in C(S^1; S^1).

math.DG2018

Conformal Riemannian morphisms between Riemannian manifolds

RB Yadav, Srikanth KV

In this article we introduce conformal Riemannian morphisms. The idea of conformal Riemannian morphism generalizes the notions of an isometric immersion, a Riemannian submersion, a…