2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76246We show that fusion categories $\Rep(\ku^σ_τ \Tc)$ of representations of the weak Hopf algebra coming from a vacant double groupoid $\Tc$ and a pair $(σ, τ)$ of compatible 2-cocyles are group-theoretical.amslatex, 19 pagesQuantum Algebra16W30Tensor categories and vacant double groupoidstext