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arxiv: 1209.1726 · v3 · pith:4RVWYBJEnew · submitted 2012-09-08 · 🧮 math.QA

Frobenius property for fusion categories of small integral dimension

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keywords 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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