Some non-braided fusion categories of rank 3
| dc.creator | Hagge, Tobias J. | |
| dc.creator | Hong, Seung-Moon | |
| dc.date | 2007-04-02 | |
| dc.date | 2007-09-24 | |
| dc.date.accessioned | 2026-07-07T08:31:15Z | |
| dc.date.available | 2026-07-07T08:31:15Z | |
| dc.description | We classify all fusion categories for a given set of fusion rules with three simple object types. If a conjecture of Ostrik is true, our classification completes the classification of fusion categories with three simple object types. To facilitate the discussion we describe a convenient, concrete and useful variation of graphical calculus for fusion categories, discuss pivotality and sphericity in this framework, and give a short and elementary re-proof of the fact that the quadruple dual functor is naturally isomorphic to the identity. | |
| dc.description | 18 pages, 7 figures, v2. Many expository improvements based on referee feedback, most notably to the proof of the main theorem and the section on pivotal structures. Fewer details are left to the reader. A new section outlines the structure of the proof of the main theorem and its relation to other results in the paper | |
| dc.identifier | https://arxiv.org/abs/0704.0208 | |
| dc.identifier | http://arxiv.org/abs/0704.0208 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138449 | |
| dc.subject | Geometric Topology | |
| dc.subject | Quantum Algebra | |
| dc.subject | 57M | |
| dc.title | Some non-braided fusion categories of rank 3 | |
| dc.type | text |