7 papers
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…
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…