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5. Miscellaneous


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      Problem 5.1.

      [Alexei Davydov] Calculate the Gerstenhaber bracket of the Yoneda algebra in examples. (e.g. for $\mathcal{C} = \text{Comod}(\mathcal{U}(\mathfrak{g}))$, the Yondea algebra is $\wedge(\mathfrak{g})$ and the bracket is the one in degree 1.)


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          Problem 5.2.

          [Guillermo Sanmarco] Let $\mathcal{C}$ be a symmetric tensor category. Develop duality theory for polynomial functors. Can this be applied to representations of symmetric groups?


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              Problem 5.4.

              [Julia Pevtsova] Does a rank variety theory exist for quantum complete intersections (e.g. Nichols algebras under certain conditions)? What plays the role of $\mathbf{Z}/p$?

                  Cite this as: AimPL: Finite tensor categories: their cohomology and geometry, available at http://aimpl.org/finitetensor.