 |
 |
|
|
| HAL: hal-00473314, version 1 |
| arXiv: q-alg/9412009 |
| Detailed view |  Export this paper |
 |
|
|
| Classification of the GL(3) Quantum Matrix Groups |
|
|
| Holger EwenOleg Ogievetsky 1 |
|
|
| (1994-12-21) |
|
|
|
| We define quantum matrix groups GL(3) by their coaction on appropriate quantum planes and the requirement that the Poincare series coincides with the classical one. It is shown that this implies the existence of a Yang-Baxter operator. Exploiting stronger equations arising at degree four of the algebra, we classify all quantum matrix groups GL(3). We find 26 classes of solutions, two of which do not admit a normal ordering. The corresponding R-matrices are given. |
|
|
|
|
|
|
|
|
|
|
|
| 1: | Centre de Physique Théorique (CPT) |
|
|
|
CNRS : FR2291 – Université de Provence - Aix-Marseille I – Université de la Méditerranée - Aix-Marseille II – Université Sud Toulon Var |
|
|
|
|
|
|
|
|
|
| Subject | : | Mathematics/Quantum Algebra Physics/High Energy Physics - Theory |
|
|
| Fulltext link: |
|
| http://fr.arXiv.org/abs/q-alg/9412009 |
| hal-00473314, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00473314 | |
| oai:hal.archives-ouvertes.fr:hal-00473314 | |
| From: Oleg Ogievetsky | |
| Submitted on: Thursday, 15 April 2010 10:23:53 | |
| Updated on: Thursday, 15 April 2010 10:23:53 | |
