Mathematical Research Letters

Volume 14 (2007)

Number 1

Tensor categories and Vacant Double Groupoids

Pages: 1 – 18

DOI: http://dx.doi.org/10.4310/MRL.2007.v14.n1.a1

Authors

Juan Martín Mombelli

Sonia Natale

Abstract

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.

Full Text (PDF format)