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

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Jonathan Comes , Victor Ostrik This is my paper · ORCID

classification math.RTmath.CT

keywords categoryurepdelignealongclassifyidealspropertyprove

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abstract

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

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Classical interpolation categories
math.RT 2025-07 conditional novelty 7.0 of 10

Ultraproduct and oligomorphic-group constructions of interpolation categories for finite classical groups agree, and the categories depend only on a parameter t, with an additional parity label in the orthogonal case.