4 papers
Lie algebroids, quantum Poisson algebroids, and Lie algebroid connections
Satyendra Kumar Mishra, Abhishek Sarkar
In this paper, we consider Lie algebroids over commutative ringed spaces. Lie algebroids over ringed spaces unify the existing notion of Lie algebroids over smooth manifolds, compl…
Cohomology and Extensions of -Green Functors of Lie Type
Tarik Anowar, Satyendra Kumar Mishra, Ripan Saha
We develop a theory of -Green functors of Lie type, unifying the axiomatic framework of Green functors with the structure of Lie algebras under the action of a cyclic group $C…
Universal Coacting Hopf Algebra of a finite-dimensional Algebra over an Operad
Saikat Goswami, Satyendra Kumar Mishra, Suman Pattanayak
A. L. Agore and G. Militaru constructed a new invariant (a ``universal coacting Hopf algebra") for some finite-dimensional binary quadratic algebras such as Lie/Leibniz algebras, a…
Universal Coacting Hopf algebra of a Finite dimensional Lie-Yamaguti algebra
Saikat Goswami, Satyendra Kumar Mishra, Goutam Mukherjee
M. E. Sweedler first constructed a universal Hopf algebra of an algebra. It is known that the dual notions to the existing ones play a dominant role in Hopf algebra theory. Yu. I.…