32 citations · 37 across the 5 of their papers we have counts for
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Tensor categories and vacant double groupoids
Juan Martin Mombelli, Sonia Natale
We 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 of compatible 2-cocyle…
Frobenius-Schur indicators for a class of fusion categories
Sonia Natale
We give an explicit description, up to gauge equivalence, of group-theoretical quasi-Hopf algebras. We use this description to compute the Frobenius-Schur indicators for group-theo…
Double categories and quantum groupoids
Nicolas Andruskiewitsch, Sonia Natale
We give the construction of a class of weak Hopf algebras (or quantum groupoids) associated to a matched pair of groupoids and certain cocycle data. This generalizes a now well-kno…
On the semisolvability of semisimple Hopf algebras of low dimension
Sonia Natale
We prove that every semisimple Hopf algebra of dimension less than 60 over an algebraically closed field k of characteristic zero is either upper or lower semisolvable up to a cocy…
On group theoretical Hopf algebras and exact factorization of finite groups
Sonia Natale
We show that a semisimple Hopf algebra A is group theoretical if and only if its Drinfeld double is a twisting of the Dijkgraaf-Pasquier-Roche quasi-Hopf algebra D^{omega}(Sigma),…