12. Finite tensor categories
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Problem 12.1.
[Gelaki] Suppose $\mathcal{C}$ is a finite tensor category over $\C$ with prime Frobenius-Perron dimension. Is $\mathcal{C}$ fusion?
(Hence, it would be of the form $\text{Vect}(\Z/p,\omega)$. This would be an extension of a result in Hopf algebras.) -
Problem 12.2.
[Gelaki] How much from modular representations of finite groups can be carried to finite tensor categories?
Cite this as: AimPL: Classifying fusion categories, available at http://aimpl.org/fusioncat.