On Classification of Modular Categories by Rank Academic Article uri icon


  • 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.

published proceedings


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