October 19, 2018
Journal Article

Modular Categories of Dimension p^3m with m Square-Free

Abstract

We give a complete classification of modular categories of dimension p^3m where p is a prime and m is a square-free and coprime to p. Along the way, we classify so-called even metaplectic categories (modular categories with the same fusion ring as SO(2N)_2) of dimension 8N for N odd.

Revised: January 14, 2020 | Published: October 19, 2018

Citation

Bruillard P.J., J. Yael Plavnik, and E.C. Rowell. 2018. Modular Categories of Dimension p^3m with m Square-Free. Proceedings of the American Mathematical Society 147, no. 1:21-34. PNNL-SA-120943. doi:10.1090/proc/13776