4 papers
Monoidal Ringel duality and monoidal highest weight envelopes
Johannes Flake, Jonathan Gruber
We show that a large class of non-abelian monoidal categories can be realized as subcategories of tilting objects in abelian monoidal categories with a highest weight structure. Th…
A conjecture on the tensor ideal for an elementary p-group generated by the restriction of a Steinberg module
Kevin Coulembier, Johannes Flake
In previous work (Coulembier--Flake 2024), the authors conjectured that the tensor product of an arbitrary finite-dimensional modular representation of an elementary abelian -gr…
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…