Conference abstracts
Session S03 - Hopf Algebras
No date set
Representation of weak Hopf algebra arising from fusion double groupoids
Dirceu Bagio
Universidade Federal de Santa Maria, Brasil - sdbagio@gmail.com
Let $\Bbbk$ be a field and $\rm{Rep}\, \Bbbk\mathcal{T}$ be the category of finite dimensional representations of the weak Hopf algebra $\Bbbk\mathcal{T}$ associated to a finite fusion double groupoid $\mathcal{T}$. In this work we study proprieties of $\rm{Rep}\, \Bbbk\mathcal{T}$. More precisely, we investigate when this category is group-theoretical.
Joint work with Nicolás Andruskiewitsch (Universidad Nacional de Córdoba, Argentina) and Daiana Flôres (Universidade Federal de Santa Maria).