A Categorical Approach to Groupoid Frobenius Algebras

Details A Categorical Approach to Groupoid Frobenius Algebras A Categorical Approach to Groupoid Frobenius Algebras

2011-01-10

arxiv.org/abs/1101.1904v1

Mathematics

Quantum Algebra

33 pages

Scientific paper

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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