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| HAL : in2p3-00182564, version 1 |
| arXiv : hep-th/0604181 |
| DOI : 10.1063/1.2803507 |
| Fiche détaillée |  Récupérer au format |
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| Journal of Mathematical Physics 48/11 (2007) 113512 |
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| 6J Symbols Duality Relations |
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| K. Noui1P. Roche1L. Freidel2 |
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| (15/11/2007) |
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| It is known that the Fourier transformation of the square of (6j) symbols has a simple expression in the case of su(2) and U_q(su(2)) when q is a root of unit. The aim of the present work is to unravel the algebraic structure behind these identities. We show that the double crossproduct construction H_1\bowtie H_2 of two Hopf algebras and the bicrossproduct construction H_2^{*}\lrbicross H_1 are the Hopf algebras structures behind these identities by analysing different examples. We study the case where D= H_1\bowtie H_2 is equal to the group algebra of ISU(2), SL(2,C) and where D is a quantum double of a finite group, of SU(2) and of U_q(su(2)) when q is real. |
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| 1 : | LPTA - Laboratoire de Physique Théorique et Astroparticules |
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| 2 : | Phys-ENS - Laboratoire de Physique de l'ENS Lyon |
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| Thème(s) | : | Physique/Physique des Hautes Energies - Théorie |
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| Fourier transforms – quantum theory – SU(2) theory |
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| Lien vers le texte intégral : |
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| http://fr.arXiv.org/abs/hep-th/0604181 |
| in2p3-00182564, version 1 | |
| http://hal.in2p3.fr/in2p3-00182564 | |
| oai:hal.in2p3.fr:in2p3-00182564 | |
| Contributeur : Francoise Duceau | |
| Soumis le : Vendredi 26 Octobre 2007, 14:17:20 | |
| Dernière modification le : Mardi 28 Avril 2009, 12:40:42 | |
