Title
On classification of modular categories by rank
Document Type
Article
Publication Date
12-1-2016
Abstract
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.
Publication Source (Journal or Book title)
International Mathematics Research Notices
First Page
7546
Last Page
7588
Recommended Citation
Bruillard, P., Ng, S., Rowell, E., & Wang, Z. (2016). On classification of modular categories by rank. International Mathematics Research Notices, 2016 (24), 7546-7588. https://doi.org/10.1093/imrn/rnw020
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