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A Categorical Approach to Groupoid Frobenius Algebras

Published 10 Jan 2011 in math.QA and math.CT | (1101.1904v2)

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 $k[\C{G}]$.

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