Vol. 8, No. 2, 2014

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On Deligne's category ${\underline{\operatorname{Re}}\!\operatorname{p}}^{ab}(S_d)$

Jonathan Comes and Victor Ostrik

Vol. 8 (2014), No. 2, 473–496
Abstract

We prove a universal property of Deligne’s category ${\underset{¯}{Re}\phantom{\rule{0.3em}{0ex}}p}^{ab}\left({S}_{d}\right)$. Along the way, we classify tensor ideals in the category $\underset{¯}{Re}\phantom{\rule{0.3em}{0ex}}p\left({S}_{d}\right)$.

 Dedicated to the memory of Andrei Zelevinsky
Keywords
tensor categories, symmetric group
Primary: 18D10
Secondary: 19D23