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\newcommand{\Cat}{{\rm Cat}} \newcommand{\A}{\mathcal A} \newcommand{\freestar}{ \framebox[7pt]{$\star$} }

11. Fusion categories from subfactors

    1. Problem 11.1.

      [Snyder] Can you classify all algebras in fusion categories with small Frobenius-Perron dimension (e.g., less than 3+\sqrt{3})?
        • Problem 11.2.

          [Peters] Compute the center of the even half of the Asaeda-Haagerup and extended Haagerup subfactors.
            • Problem 11.2.

              [Morrison, Penneys] Is there a conceptual construction of the even half of 4442?
                  The even half of 4442 looks like a copy of the even part of affine E_6 fusion category (it is also \text{Rep}(A_4)) and another copy of affine E_6, but as a module category. It looks like \text{Rep}(A_4), graded by the Fibonacci category.

                  Cite this as: AimPL: Classifying fusion categories, available at http://aimpl.org/fusioncat.