On braided near-group categories

Abstract

We prove that any fusion category over $\mathbb{C}$ with exactly one non-invertible simple object is spherical. Furthermore, we classify all such categories that come equipped with a braiding.

11 pages

References in corpus (2)

• Cyclotomic integers, fusion categories, and subfactors
• Braided Near-group Categories

Cited by in corpus (1)

• Pivotal fusion categories of rank 3 (with an Appendix written jointly with Dmitri Nikshych)