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| HAL : hal-00178188, version 1 |
| arXiv : math.qa/9910147 |
| DOI : 10.1063/1.1289828 |
| Fiche détaillée |  Récupérer au format |
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| Journal of Mathematical Physics 41 (2000) 7715-7751 |
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| Tensor Products of Principal Unitary Representations of Quantum Lorentz Group and Askey-Wilson Polynomials |
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| E. Buffenoir1, 2Ph. Roche1, 2 |
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| (2000) |
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| We study the tensor product of principal unitary representations of the quantum Lorentz group, prove a decomposition theorem and compute the associated intertwiners. We show that these intertwiners can be expressed in terms of complex continuations of 6j symbols of U_q(su(2)). These intertwiners are expressed in terms of q-Racah polynomials and Askey-Wilson polynomials. The orthogonality of these intertwiners imply some relation mixing these two families of polynomials. The simplest of these relations is the orthogonality of Askey-Wilson polynomials. |
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| 1 : | LPTA - Laboratoire de Physique Théorique et Astroparticules |
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| 2 : | PMT - Laboratoire de Physique Mathématique et Théorique |
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| Domaine | : | Mathématiques/Algèbres quantiques Physique/Relativité Générale et Cosmologie Quantique Physique/Physique des Hautes Energies - Théorie |
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| quantum theory – group theory – polynomials – angular momentum theory – tensors. KeyWords Plus: 2D GRAVITY |
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| Lien vers le texte intégral : |
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| http://fr.arXiv.org/abs/math.qa/9910147 |
| hal-00178188, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00178188 | |
| oai:hal.archives-ouvertes.fr:hal-00178188 | |
| Contributeur : Francoise Duceau | |
| Soumis le : Mercredi 10 Octobre 2007, 12:53:15 | |
| Dernière modification le : Mercredi 10 Octobre 2007, 12:53:15 | |
