Fusion categories of rank 2

Mathematics – Quantum Algebra

Scientific paper

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

Scientific paper

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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