50 citations · 173 across the 33 of their papers we have counts for
4 papers · 1 filter
Central Exact Sequences of Tensor Categories, Equivariantization and Applications
Alain Bruguières, Sonia Natale
We define equivariantization of tensor categories under tensor group scheme actions and give necessary and sufficient conditions for an exact sequence of tensor categories to be an…
Faithful simple objects, orders and gradings of fusion categories
Sonia Natale
We establish some relations between the orders of simple objects in a fusion category and the structure of its universal grading group. We consider fusion categories which have a f…
Finite quantum groups and quantum permutation groups
Teodor Banica, Julien Bichon, Sonia Natale
We give examples of finite quantum permutation groups which arise from the twisting construction or as bicrossed products associated to exact factorizations in finite groups. We al…
On fusion categories with few irreducible degrees
Sonia Natale, Julia Yael Plavnik
We prove some results on the structure of certain classes of integral fusion categories and semisimple Hopf algebras under restrictions on the set of its irreducible degrees.