
## 12. Finite tensor categories

1. #### 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.