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math.RA2025
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…
math.RA2025
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…
math.RA2025
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.…