Frobenius property for fusion categories of small integral dimension

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.

15 pages. Final version

References in corpus (1)

• Classification of fusion categories of dimension pq

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