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An abelian envelope without the quotient property

Flake, Johannes et al.
arXiv (OAI Expanded) · Papers
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category-theoryrepresentation-theory
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 have an abelian envelope with the quotient property, this disproves the conjecture in [op.cit.] saying that every abelia
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