Frobenius property for fusion categories of small integral dimension
classification
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frobeniusfusioncategoriesdimensionfrobenius-perronintegraltypealgebraically
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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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