Fusion categories of rank 2
arXiv:math/0203255
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.
6 pages, main text by V.Ostrik with an appendix by P.Etingof