Fusion categories of rank 2

Viktor Ostrik

Fusion categories of rank 2

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arxiv math/0203255 v1 pith:JEPNLQ4V submitted 2002-03-24 math.QA math.CT

Viktor Ostrik This is my paper

classification math.QAmath.CT

keywords categoriesfinitenumbersemisimplealgebrasappendixclassesclassify

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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.

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Gauging Non-Invertible Symmetries in (2+1)d Topological Orders
hep-th 2025-07 conditional novelty 7.0 of 10

A framework for gauging non-invertible symmetries in (2+1)d TQFTs, unifying 0-form and 1-form gauging via surface algebras, with constraints and toric-code examples.

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