A finiteness property for braided fusion categories
arXiv:0903.4157
Abstract
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 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.
21 pages; v3: proof of Theorem 4.2 clarified, Section 5 revised and strengthened; v4: minor revisions