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The Benson--Etingof--Ostrik conjecture for finite tensor categories
Kevin Coulembier, Johannes Flake
We prove that every finite symmetric tensor category over an algebraically closed field of positive characteristic admits a symmetric tensor functor to a higher Verlinde category.…
An abelian envelope without the quotient property
Johannes Flake, Jonathan Gruber, Thorsten Heidersdorf
We show that the universal rigid monoidal category on one object has an abelian envelope. Since it was proven by Coulembier-Etingof-Ostrik-Pauwels (2023) that this category cannot…
Abelian envelopes for interpolation categories of wreath products from monoidal adjunctions
Johannes Flake, Thorsten Heidersdorf, David Hull
We establish the existence of abelian envelopes for interpolation categories of wreath product groups , for a fixed finite group with the symmetric groups , for…
Monoidal adjunctions and abelian envelopes
Johannes Flake, Robert Laugwitz, Sebastian Posur
We show how monoidal adjunctions can be used to prove the existence of monoidal abelian envelopes of pseudo-tensor categories, in particular, those admitting a combinatorial descri…