Rank-finiteness for modular categories
نویسندگان
چکیده
منابع مشابه
On Classification of Modular Categories by Rank
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.
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 2015
ISSN: 0894-0347,1088-6834
DOI: 10.1090/jams/842