Quotients and Hopf Images of a Smash Coproduct
Julien Bichon
TL;DR
This paper investigates the structure of Hopf algebra quotients and Hopf images arising from smash coproducts of group algebras with function algebras on finite groups, providing a detailed classification.
Contribution
It offers a comprehensive description of Hopf algebra quotients and images for a specific class of smash coproducts, advancing understanding in Hopf algebra theory.
Findings
Classification of Hopf algebra quotients
Description of Hopf images for smash coproducts
New insights into the structure of these Hopf algebras
Abstract
We describe the Hopf algebra quotients and Hopf images of the smash coproduct of a group algebra by the algebra of functions on a finite group.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons