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math.QA2013★ 15 cited
Pivotal fusion categories of rank 3 (with an Appendix written jointly with Dmitri Nikshych)
Victor Ostrik
We classify all fusion categories of rank 3 that admit a pivotal structure over an algebraically closed field of characteristic zero. Also in the Appendix (joint with D.Nikshych) w…
math.RT2013★ 22 cited
On Deligne's category $\uRep^{ab}(S_d)$
Jonathan Comes, Victor Ostrik
We prove a universal property of Deligne's category $\uRep^{ab}(S_d)$. Along the way, we classify tensor ideals in the category $\uRep(S_d)$.