On the exponent of tensor categories coming from finite groups
| dc.creator | Natale, Sonia | |
| dc.date | 2005-11-04 | |
| dc.date.accessioned | 2026-07-07T06:50:48Z | |
| dc.date.available | 2026-07-07T06:50:48Z | |
| dc.description | We describe the exponent of a group-theoretical fusion category $\mathcal C = \mathcal C(G, ω, F, α)$ associated to a finite group $G$ in terms of group cohomology. We show that the exponent of $\C$ divides both $e(ω) \exp G$ and $(\exp G)^2$, where $e(ω)$ is the cohomological order of the 3-cocycle $ω$. In particular $\exp \C$ divides $(\dim \C)^2$. | |
| dc.description | 22 pages, amslatex | |
| dc.identifier | https://arxiv.org/abs/math/0511123 | |
| dc.identifier | http://arxiv.org/abs/math/0511123 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104780 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16W30 | |
| dc.title | On the exponent of tensor categories coming from finite groups | |
| dc.type | text |