4 papers · 1 filter
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…
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…
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…