Classification of super-modular categories by rank Institutional Repository Document uri icon

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.

author list (cited authors)

  • Bruillard, P., Galindo, C., Ng, S., Plavnik, J. Y., Rowell, E. C., & Wang, Z.

citation count

  • 0

complete list of authors

  • Bruillard, Paul||Galindo, C├ęsar||Ng, Siu-Hung||Plavnik, Julia Yael||Rowell, Eric C||Wang, Zhenghan

Book Title

  • arXiv

publication date

  • May 2017