34 citations · 165 across the 42 of their papers we have counts for
46 papers
Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories
Ryan Aziz, Joost Vercruysse
We study the notion of the -center of a -biactegory (or bimodule category) , relative to an op-monoidal fun…
Globalization and the biactegory of partial modules
Eliezer Batista, William Hautekiet, Joost Vercruysse
We show that the category of partial modules over a Hopf algebra is a biactegory (a bimodule category) over the category of global -modules. The corresponding enrichment of…
Dualities for universal (co)acting Hopf monoids
Ana Agore, Alexey Gordienko, Joost Vercruysse
In general, universal (co)measuring (co)monoids and universal (co)acting bi/Hopf monoids, which prove to be a useful tool in the classification of quantum symmetries, do not always…
Lifting of locally initial objects and universal (co)acting Hopf algebras
Ana Agore, Alexey Gordienko, Joost Vercruysse
The universal (co)acting bi/Hopf algebras introduced by Yu. I. Manin, M. Sweedler and D. Tambara, the universal Hopf algebra of a given (co)module structure, as well as the univers…
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…
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…