A Finiteness Property for Braided Fusion Categories Academic Article

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 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. 2010 Springer Science+Business Media B.V.

authors

• Rowell, Eric

published proceedings

• ALGEBRAS AND REPRESENTATION THEORY

author list (cited authors)

• Naidu, D., & Rowell, E. C.

citation count

• 49

complete list of authors

• Naidu, Deepak||Rowell, Eric C

publication date

• October 2011

publisher

• Springer Nature  Publisher

published in

• Algebras and Representation Theory  Journal

keywords

• Braid Group
• Braided Fusion Category
• Modular Category

Digital Object Identifier (DOI)

• 10.1007/s10468-010-9219-5

start page

• 837

end page

• 855

volume

• 14

issue

• 5

URL

• http://dx.doi.org/10.1007/s10468-010-9219-5