5 citations · 5 across the 5 of their papers we have counts for
6 papers
One-dimensional partial actions of 8-dimensional Hopf algebras and right coideal subalgebras
Matheus Castelo, Leonardo Duarte Silva, William Hautekiet +1
In this work, we complete the description of the one-dimensional partial actions of 8-dimensional Hopf algebras by computing the remaining cases: the Kac-Paljutkin algebra $\mathca…
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…
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…
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…
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…
Partial and global representations of finite groups
Michele D'Adderio, William Hautekiet, Paolo Saracco +1
Given a subgroup H of a finite group G, we begin a systematic study of the partial representations of G that restrict to global representations of H. After adapting several results…