2015Moscow Mathematical JournalRequires access

Pivotal Fusion Categories of Rank 3

Victor Ostrik

Open publisher page 2 citations

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, Mathematics, Zero (linguistics), Fusion, Field (mathematics), Group (periodic table), Joint (building)

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