3 papers
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.…
math.RA2025
Lie-Yamaguti Algebra Bundle
Saikat Goswami, Goutam Mukherjee
We introduce the notion of Lie-Yamaguti algebra bundle, define its cohomology groups with coefficients in a representation and show that such bundles appeared naturally from geomet…