English

Frobenius property for fusion categories of small integral dimension

Quantum Algebra 2016-07-07 v3

Abstract

Let k be an algebraically closed field of characteristic zero. In this paper we prove that fusion categories of Frobenius-Perron dimensions 84 and 90 are of Frobenius type. Combining this with previous results in the literature, we obtain that every weakly integral fusion category of Frobenius-Perron dimension less than 120 is of Frobenius type.

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Cite

@article{arxiv.1209.1726,
  title  = {Frobenius property for fusion categories of small integral dimension},
  author = {Jingcheng Dong and Sonia Natale and Leandro Vendramin},
  journal= {arXiv preprint arXiv:1209.1726},
  year   = {2016}
}

Comments

15 pages. Final version