Explicit closed-form parametrization of SU(3) and SU(4) in terms of complex quaternions and elementary functions
| dc.creator | Gsponer, Andre | |
| dc.date | 2002-11-22 | |
| dc.date | 2002-11-22 | |
| dc.date.accessioned | 2026-07-07T04:29:36Z | |
| dc.date.available | 2026-07-07T04:29:36Z | |
| dc.description | Remarkably simple closed-form expressions for the elements of the groups SU(n), SL(n,R), and SL(n,C) with n=2, 3, and 4 are obtained using linear functions of biquaternions instead of n x n matrices. These representations do not directly generalize to SU(n>4). However, the quaternion methods used are sufficiently general to find applications in quantum chromodynamics and other problems which necessitate complicated 3 x 3 or 4 x 4 matrix calculations. | |
| dc.description | Submitted to Journal of Mathematical Physics, 17 pages, 1 tables | |
| dc.identifier | https://arxiv.org/abs/math-ph/0211056 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0211056 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57215 | |
| dc.subject | Mathematical Physics | |
| dc.title | Explicit closed-form parametrization of SU(3) and SU(4) in terms of complex quaternions and elementary functions | |
| dc.type | text |