On Deligne's category $\uRep^{ab}(S_d)$

Abstract

We prove a universal property of Deligne's category $\uRep^{ab}(S_d)$. Along the way, we classify tensor ideals in the category $\uRep(S_d)$.

19 pages

Cited by in corpus (4)

• Monoidal abelian envelopes
• The indecomposable objects in the center of Deligne's category $Rep(S_t)$
• Schur-Weyl duality for Deligne categories II: the limit case
• Monoidal abelian envelopes and a conjecture of Benson--Etingof