2013arXiv (Cornell University)Open access

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

Victor Ostrik

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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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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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Available 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.

Key concepts: Rank (graph theory), Algebraically closed field, Appendix, Mathematics, Zero (linguistics), Field (mathematics), Fusion, Group (periodic table)

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