Add to ORKGAbstract. 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 important cases. In particular we say a category has property F if the associated braid group representations factor over a finite group, and suggest that categories of integral Frobenius-Perron dimension are precisely those with property F. 1
Let (Formula presented.) be a modular category of Frobenius-Perron dimension dqn, where q > 2 is a p...
twisted quantum double Dω(G), where G is a finite group and ω is a 3-cocycle on G. In view of the fa...
Abstract. We investigate the braid group representations arising from cate-gories of representations...
Let (Formula presented.) be an integral fusion category. We study some graphs, called the prime grap...
Braided fusion categories are algebraic structures with strong ties to the representation theory of ...
We introduce two new classes of fusion categories which are obtained by a certain procedure from fin...
We show that the Witt class of a weakly group-theoretical non-degenerate braided fusion category bel...
AbstractWe introduce two new classes of fusion categories which are obtained by a certain procedure ...
The main aim of this appendix is to discuss, for any finite group G, a close connection between brai...
A group Γ is of type Fn for some n ≥ 1 if it has a classifying complex with finite n-skeleton. These...
We classify braided generalized near-group fusion categories whose global dimension is not an intege...
Dimensions of objects in fusion categories are cyclotomic integers, hence number theoretic results h...
We classify ribbon categories with the tensor product rules of the finite-dimensional com-plex repre...
We classify ribbon categories with the tensor product rules of the finite-dimensional com-plex repre...
Let k be an algebraically closed field of characteristic zero. In this paper, we prove that fusion c...
Let (Formula presented.) be a modular category of Frobenius-Perron dimension dqn, where q > 2 is a p...
twisted quantum double Dω(G), where G is a finite group and ω is a 3-cocycle on G. In view of the fa...
Abstract. We investigate the braid group representations arising from cate-gories of representations...
Let (Formula presented.) be an integral fusion category. We study some graphs, called the prime grap...
Braided fusion categories are algebraic structures with strong ties to the representation theory of ...
We introduce two new classes of fusion categories which are obtained by a certain procedure from fin...
We show that the Witt class of a weakly group-theoretical non-degenerate braided fusion category bel...
AbstractWe introduce two new classes of fusion categories which are obtained by a certain procedure ...
The main aim of this appendix is to discuss, for any finite group G, a close connection between brai...
A group Γ is of type Fn for some n ≥ 1 if it has a classifying complex with finite n-skeleton. These...
We classify braided generalized near-group fusion categories whose global dimension is not an intege...
Dimensions of objects in fusion categories are cyclotomic integers, hence number theoretic results h...
We classify ribbon categories with the tensor product rules of the finite-dimensional com-plex repre...
We classify ribbon categories with the tensor product rules of the finite-dimensional com-plex repre...
Let k be an algebraically closed field of characteristic zero. In this paper, we prove that fusion c...
Let (Formula presented.) be a modular category of Frobenius-Perron dimension dqn, where q > 2 is a p...
twisted quantum double Dω(G), where G is a finite group and ω is a 3-cocycle on G. In view of the fa...
Abstract. We investigate the braid group representations arising from cate-gories of representations...