Classification of fusion categories of dimension pq
By Pavel Etingof, Shlomo Gelaki, V. Ostrik. 2003
65 citations recorded by the source corpus.
We provide a complete classification of fusion categories of Frobenius-Perron (FP) dimension pq over complex numbers, where p 1 and which have only one noninvertible object of dimension n.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/710c81bb000ac27f2d64430597abcce1aae746d3
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In Geometry and Topology
- D. Nikshych
- Michael Mueger
- D. Venku Naidu
- V. Ostrik
- Shlomo Gelaki
- Pavel Etingof
- Liang Kong
- Alexei Davydov
In Mathematical Physics
- D. Nikshych
- Michael Mueger
- D. Venku Naidu
- V. Ostrik
- Shlomo Gelaki
- Pavel Etingof
- Liang Kong
- Alexei Davydov
Citations in the corpus
- Tensor categories: a selective guided tour (2008, background): “• For fusion categories, there are a number of classification results in the case of low rank (number of simple objects) (Ostrik: fusion categories of rank 2 [224], braided fusion categories of rank 3 [225]) or special dimensions, like p or pq (Etingof/Gelaki/Ostrik [82]).”
- Non-group-theoretical semisimple Hopf algebras from group actions on fusion categories (2007, background): “Such categories were extensively studied (see e.g., [4, 6 , 7, 10, 17, 18, 19]), and many classication results were obtained.”