3 papers
math.RA2025
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…
math.QA2024
Partial representations of connected and smash product Hopf algebras
Tiago Luiz Ferrazza, William Hautekiet, Arthur Alves Neto
We show that every partial representation of a connected Hopf algebra is global. Some interesting classes of partial representations of smash product Hopf algebras are studied, and…
math.RA2022
A comonadicity theorem for partial comodules
Eliezer Batista, William Hautekiet, Joost Vercruysse
We show that the category of partial comodules over a Hopf algebra is comonadic over and provide an explicit construction of this comonad using topological vecto…