On Classification of Modular Categories by Rank Academic Article

abstract

• The Author(s) 2016. Published by Oxford University Press. All rights reserved. The feasibility of a classification-by-rank program for modular categories follows from the Rank-Finiteness Theorem. We develop arithmetic, representation theoretic and algebraic methods for classifying modular categories by rank. As an application, we determine all possible fusion rules for all rank = 5 modular categories and describe the corresponding monoidal equivalence classes.

authors

• Rowell, Eric

published proceedings

• INTERNATIONAL MATHEMATICS RESEARCH NOTICES

author list (cited authors)

• Bruillard, P., Ng, S., Rowell, E. C., & Wang, Z.

citation count

• 20

complete list of authors

• Bruillard, Paul||Ng, Siu-Hung||Rowell, Eric C||Wang, Zhenghan

publication date

• December 2016

publisher

• Oxford University Press (OUP)  Publisher

published in

• International Mathematics Research Notices  Journal

keywords

• 49 Mathematical Sciences
• 4902 Mathematical Physics

Digital Object Identifier (DOI)

• 10.1093/imrn/rnw020

start page

• 7546

end page

• 7588

volume

• 2016

issue

• 24

URL

• http://dx.doi.org/10.1093/imrn/rnw020