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math.RA2023
Towards a classification of simple partial comodules of Hopf algebras
Eliezer Batista, William Hautekiet, Paolo Saracco +1
Making the first steps towards a classification of simple partial comodules, we give a general construction for partial comodules of a Hopf algebra \(H\) using central idempotents…
math.RA2023
Everybody knows what a normal gabi-algebra is
Johannes Berger, Paolo Saracco, Joost Vercruysse
Let A be a k-algebra over a commutative ring k. By the renowned Tannaka-Krein reconstruction, liftings of the monoidal structure from k-modules to A-modules correspond to bialgebra…
math.CT2023
Free and co-free constructions for Hopf categories
Paul Großkopf, Joost Vercruysse
We show that under mild conditions on the monoidal base category , the category of Hopf -categories is locally presentable and deduce the exis…