Frobenius property for fusion categories of small integral dimension

Jingcheng Dong, Sonia Natale, Leandro Vendramin
2015 Journal of Algebra and its Applications  
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.
doi:10.1142/s0219498815500115 fatcat:3yujzczf65d3zo6mbo6z3w7t5y