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Frobenius monoidal functors induced by Frobenius extensions of Hopf algebras
Johannes Flake, Robert Laugwitz, Sebastian Posur
We show that induction along a Frobenius extension of Hopf algebras is a Frobenius monoidal functor in great generality, in particular, for all finite-dimensional and all pointed H…
Frobenius monoidal functors from ambiadjunctions and their lifts to Drinfeld centers
Johannes Flake, Robert Laugwitz, Sebastian Posur
We identify general conditions, formulated using the projection formula morphisms, for a functor that is simultaneously left and right adjoint to a strong monoidal functor to be a…
Towards higher Frobenius functors for symmetric tensor categories
Kevin Coulembier, Johannes Flake
We develop theory and examples of monoidal functors on tensor categories in positive characteristic that generalise the Frobenius functor from \cite{Os, EOf, Tann}. The latter has…
Projection formulas and induced functors on centers of monoidal categories
Johannes Flake, Robert Laugwitz, Sebastian Posur
Given a monoidal adjunction, we show that the right adjoint induces a braided lax monoidal functor between the corresponding Drinfeld centers provided that certain natural transfor…