27 citations · 88 across the 11 of their papers we have counts for
14 papers
Automorphisms of extensions of Lie-Yamaguti algebras and Inducibility problem
Saikat Goswami, Satyendra Kumar Mishra, Goutam Mukherjee
Lie-Yamaguti algebras generalize both the notions of Lie algebras and Lie triple systems. In this paper, we consider the inducibility problem for automorphisms of extensions of Lie…
Bimodules over relative Rota-Baxter algebras and cohomologies
Apurba Das, Satyendra Kumar Mishra
A relative Rota-Baxter algebra is a generalization of a Rota-Baxter algebra. Relative Rota-Baxter algebras are closely related to dendriform algebras. In this paper, we introduce b…
Non-abelian extensions of Rota-Baxter Lie algebras and inducibility of automorphisms
Apurba Das, Samir Kumar Hazra, Satyendra Kumar Mishra
A Rota-Baxter Lie algebra is a Lie algebra equipped with a Rota-Baxter operator . In this paper, we consi…
Noncommutative Differential Calculus Structure on Secondary Hochschild (co)homology
Apurba Das, Satyendra Kumar Mishra, Anita Naolekar
Let be a commutative algebra and be a -algebra (determined by an algebra homomorphism ). M. D. Staic introduced a Hochschild like cohomology…
-Operators on Hom-Lie algebras
Satyendra Kumar Mishra, Anita Naolekar
-operators (also known as relative Rota-Baxter operators) on Lie algebras have several applications in integrable systems and the classical Yang-Baxter equations. In t…
The -deformations of associative Rota-Baxter algebras and homotopy Rota-Baxter operators
Apurba Das, Satyendra Kumar Mishra
A relative Rota-Baxter algebra is a triple consisting of an algebra , an -bimodule , and a relative Rota-Baxter operator . Using Voronov's derived bracket a…
Cohomology and deformations of Filippov algebroids
Satyendra Kumar Mishra, Goutam Mukherjee, Anita Naolekar
In this article, we study the deformations of Filippov algebroids. We define a differential graded Lie algebra (in short DGLA) for a Filippov algebroid by introducing the notion of…
Hom-Lie Algebras and Hom-Lie Groups, Integration and Differentiation
Jun Jiang, Satyendra Kumar Mishra, Yunhe Sheng
In this paper, we introduce the notion of a (regular) Hom-Lie group. We associate a Hom-Lie algebra to a Hom-Lie group and show that every regular Hom-Lie algebra is integrable. Th…
Deformation of Hom-Lie-Rinehart algebras
Satyendra Kumar Mishra, Ashis Mandal
We study formal deformations of hom-Lie-Rinehart algebras. The associated deformation cohomology that controls deformations is constructed using multiderivations of hom-Lie-Rinehar…
Deformations of Courant pairs and Poisson algebras
Ashis Mandal, Satyendra Kumar Mishra
We study deformation of Courant pairs with a commutative algebra base. We consider the deformation cohomology bi-complex and describe a universal infinitesimal deformation. In a se…
Universal Central Extensions and Non-abelian tensor product of Hom-Lie-Rinehart Algebras
Ashis Mandal, Satyendra Kumar Mishra
In this paper we study universal central extensions and non-abelian tensor product of hom-Lie-Rinehart algebras. We discuss about universal - central extensions, and, lifting of…
On Hom-Gerstenhaber algebras and Hom-Lie algebroids
Ashis Mandal, Satyendra Kumar Mishra
We define the notion of hom-Batalin-Vilkovisky algebras and strong differential hom-Gerstenhaber algebras as a special class of hom-Gerstenhaber algebras and provide canonical exam…
Hom-Lie-Rinehart Algebras
Ashis Mandal, Satyendra Kumar Mishra
We introduce hom-Lie-Rinehart algebras as an algebraic analogue of hom-Lie algebroids, and systematically describe a cohomology complex by considering coefficient modules. We defin…
Cohomology and deformations of Courant pairs
Ashis Mandal, Satyendra Kumar Mishra
In this note we define a notion of Courant pair as a Courant algebra over the Lie algebra of linear derivations on an associative algebra. We study formal deformations of Courant p…