2 papers
math.CT2026
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…
math.RT2025
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…