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12. Finite tensor categories


    1. Add remark

      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.)


        • Add remark

          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.