A finiteness property for braided fusion categories
Quantum Algebra
2011-09-12 v4 Representation Theory
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.
Keywords
Cite
@article{arxiv.0903.4157,
title = {A finiteness property for braided fusion categories},
author = {Deepak Naidu and Eric C. Rowell},
journal= {arXiv preprint arXiv:0903.4157},
year = {2011}
}
Comments
21 pages; v3: proof of Theorem 4.2 clarified, Section 5 revised and strengthened; v4: minor revisions