On classification of modular categories by rank
Quantum Algebra
2016-03-23 v2
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= modular categories and describe the corresponding monoidal equivalence classes.
Cite
@article{arxiv.1507.05139,
title = {On classification of modular categories by rank},
author = {Paul Bruillard and Siu-Hung Ng and Eric C. Rowell and Zhenghan Wang},
journal= {arXiv preprint arXiv:1507.05139},
year = {2016}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1310.7050