 |
 |
 |
|
|
|
| HAL : in2p3-00002501, version 1 |
| arXiv : hep-th/9409012 |
| Fiche détaillée |  Récupérer au format |
|
|
| International School Of Theoretical Physics Symmetry And Structural Properties Of Condensed Matter 2, Poznan : Pologne |
|
|
|
|
| Introduction to quantum algebras |
|
|
| M. Kibler1 |
|
|
| (1993) |
|
|
|
| The concept of a quantum algebra is made easy through the investigation of the prototype algebras $u_{qp}(2)$, $su_q(2)$ and $u_{qp}(1,1)$. The latter quantum algebras are introduced as deformations of the corresponding Lie algebras~; this is achieved in a simple way by means of $qp$-bosons. The Hopf algebraic structure of $u_{qp}(2)$ is also discussed. The basic ingredients for the representation theory of $u_{qp}(2)$ are given. Finally, in connection with the quantum algebra $u_{qp}(2)$, we discuss the $qp$-analogues of the harmonic oscillator and of the (spherical and hyperbolical) angular momenta. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | IPNL - Institut de Physique Nucléaire de Lyon |
|
|
|
|
|
|
|
|
|
| Thème(s) | : | Physique/Physique des Hautes Energies - Théorie Mathématiques/Algèbres quantiques |
|
|
| Lien vers le texte intégral : |
|
| http://fr.arXiv.org/abs/hep-th/9409012 |
| in2p3-00002501, version 1 | |
| http://hal.in2p3.fr/in2p3-00002501 | |
| oai:hal.in2p3.fr:in2p3-00002501 | |
| Contributeur : Sylvie Florès | |
| Soumis le : Jeudi 23 Novembre 2006, 11:26:05 | |
| Dernière modification le : Jeudi 23 Novembre 2006, 11:41:47 | |
