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Pivotal fusion categories of rank 3 (with an Appendix written jointly with Dmitri Nikshych)

Published 18 Sep 2013 in math.QA | (1309.4822v1)

Abstract: 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) we give some restrictions on Grothendieck rings of near-group categories.

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