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