Clifford Periodicity from Finite Groups
| dc.creator | Boya, Luis J. | |
| dc.creator | Byrd, Mark S. | |
| dc.date | 1999-02-09 | |
| dc.date.accessioned | 2026-07-07T04:32:41Z | |
| dc.date.available | 2026-07-07T04:32:41Z | |
| dc.description | We deduce the periodicity 8 for the type of $Pin$ and $Spin$ representations of the orthogonal groups $O(n)$ from simple combinatorial properties of the finite Clifford groups generated by the gamma matrices. We also include the case of arbitrary signature $O(p,q)$. The changes in the type of representation can be seen as a rotation in the complex plane. The essential result is that adding a $(+)$ dimension performs a rotation by $π/4$ in the counter clock-wise sense, but for each $(-)$ sign in the metric, the rotation is clockwise. | |
| dc.description | 8 pages, LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/math-ph/9902013 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9902013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58281 | |
| dc.subject | Mathematical Physics | |
| dc.title | Clifford Periodicity from Finite Groups | |
| dc.type | text |