A Categorical Approach to Groupoid Frobenius Algebras
arXiv:1101.1904 · doi:10.1007/s10485-013-9313-z
Abstract
In this paper, we show that $\C{G}$-Frobenius algebras (for $\C{G}$ a finite groupoid) correspond to a particular class of Frobenius objects in the representation category of $D(k[\C{G}])$, where $D(k[\C{G}])$ is the Drinfeld double of the quantum groupoid $k[\C{G}]$.
final version; to appear in Applied Categorical Structures