A Finiteness Property for Braided Fusion Categories

作者:Naidu Deepak*; Rowell Eric C
来源:Algebras and Representation Theory, 2011, 14(5): 837-855.
DOI:10.1007/s10468-010-9219-5

摘要

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.

  • 出版日期2011-10