Conference abstracts

Session S03 - Hopf Algebras

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## Representation of weak Hopf algebra arising from fusion double groupoids

### 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).