Mathematical Research Letters

Volume 14, Issue 1, January 2007 pp. 1-18.

Tensor categories and Vacant Double Groupoids

Authors: Juan Martín Mombelli (1) and Sonia Natale (2)
Author institution: Ciudad Universitaria, Córdoba, Argentina

Summary: We show that fusion categories $\Rep(\ku^{\sigma}_{\tau} \Tc)$ of representations of the weak Hopf algebra coming from a vacant double groupoid $\Tc$ and a pair $(\sigma, \tau)$ of compatible 2-cocyles are group-theoretical.

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