We establish tetrahedral symmetries of 6j-symbols for arbitrary fusion categories under
minimal assumptions. As a convenient tool for our calculations we introduce the notion of a …

We classify all fusion categories for a given set of fusion rules with three simple object types.
If a conjecture of Ostrik is true, our classification completes the classification of fusion …

We classify all fusion categories for a given set of fusion rules with three simple object types.
If a conjecture of Ostrik is true, our classification completes the classification of fusion …

We use the string diagram calculus to give graphical proofs of the basic results of Etingof,
Nikshych and Ostrik [On fusion categories, Ann. Math. 162 (2005) 581–642; arXiv …

We introduce a weakening of the notion of fusion 2-category given in arXiv: 1812.11933.
Then, we establish a number of properties of (multi) fusion 2-categories. Finally, we describe …

arXiv:1210.1732v1 [math.QA] 5 Oct 2012 On Z/2Z-extensions of pointed fusion categories Page
1 arXiv:1210.1732v1 [math.QA] 5 Oct 2012 On Z/2Z-extensions of pointed fusion categories …

We give lower bounds for the rank of a symmetric fusion category in characteristic in terms
of. We prove that the second Adams operation is not the identity for any non-trivial symmetric …

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 that have a faithful …

We introduce and study the new notion of an exact factorization B= A• C of a fusion category
B into a product of two fusion subcategories A, C⊆ B of B. This is a categorical …

Given a fusion category\mathcal CC and an indecomposable\mathcal C C-module
category\mathcal MM, the fusion category\mathcal C^* _ _\mathcal M CM∗ of\mathcal C C …