Fusion categories of rank 2

2002/03/24 by Viktor Ostrik, Ostrik, Viktor · 4 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.CT #math.QA

paper · pdf · doi:10.48550/arxiv.math/0203255

6 pages, main text by V.Ostrik with an appendix by P.Etingof

arxiv created 2002/03/24 · openalex publication_date 2002/03/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify semisimple rigid monoidal categories with two isomorphism classes of simple objects over the field of complex numbers. In the appendix written by P.Etingof it is proved that the number of semisimple Hopf algebras with a given finite number of irreducible representations is finite.

Citations

• Classical and quantum conformal field theory

Cited by

• Generalized Witt and Morita equivalences
• Modular fusion categories with few twists
• Classifying integral Grothendieck rings up to rank 5 and beyond
• On Grothedieck rings of rank 4 self-dual fusion categories

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