49 citations · 67 across the 10 of their papers we have counts for
8 papers · 1 filter
Classification of integral modular categories of Frobenius-Perron dimension pq^4 and p^2q^2
Paul Bruillard, César Galindo, Seung-Moon Hong +5
We classify integral modular categories of dimension pq^4 and p^2q^2 where p and q are distinct primes. We show that such categories are always group-theoretical except for categor…
Crossed pointed categories and their equivariantizations
Deepak Naidu
We propose the notion of quasi-abelian third cohomology of crossed modules, generalizing Eilenberg and MacLane's abelian cohomology and Ospel's quasi-abelian cohomology, and classi…
Centers of graded fusion categories
Shlomo Gelaki, Deepak Naidu, Dmitri Nikshych
Let C be a fusion category faithfully graded by a finite group G and let D be the trivial component of this grading. The center Z(C) of C is shown to be canonically equivalent to a…
A finiteness property for braided fusion categories
Deepak Naidu, Eric C. Rowell
We introduce a finiteness property for braided fusion categories, describe a conjecture that would characterize categories possessing this, and verify the conjecture in a number of…
Fusion subcategories of representation categories of twisted quantum doubles of finite groups
Deepak Naidu, Dmitri Nikshych, Sarah Witherspoon
We describe all fusion subcategories of the representation category of a twisted quantum double of a finite group. In view of the fact that every group-theoretical braided fusion c…
Some properties of group-theoretical categories
Shlomo Gelaki, Deepak Naidu
We first show that every group-theoretical category is graded by a certain double coset ring. As a consequence, we obtain a necessary and sufficient condition for a group-theoretic…