English

On braided near-group categories

Quantum Algebra 2011-02-24 v1

Abstract

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

Keywords

Cite

@article{arxiv.1102.4640,
  title  = {On braided near-group categories},
  author = {Josiah Thornton},
  journal= {arXiv preprint arXiv:1102.4640},
  year   = {2011}
}

Comments

11 pages

R2 v1 2026-06-21T17:30:19.781Z