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| HAL : hal-00160579, version 1 |
| arXiv : 0707.0955 |
| Fiche détaillée |  Récupérer au format |
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| Universal Vertex-IRF Transformation for Quantum Affine Algebras |
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| E. Buffenoir1P. Roche1V. Terras1 |
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| (06/07/2007) |
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| We construct a universal Vertex-IRF transformation between Vertex type universal solution and Face type universal solution of the quantum dynamical Yang-Baxter equation. This universal Vertex-IRF transformation satisfies the generalized coBoundary equation and is an extension of our previous work to the quantum affine $U_q(A^{(1)}_r)$ case. This solution has a simple Gauss decomposition which is constructed using Sevostyanov's characters of twisted quantum Borel algebras. We show that the evaluation of this universal solution in the evaluation representation of $U_q(A_1^{(1)})$ gives the standard Baxter's transformation between the 8-Vertex model and the IRF height model. |
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| 1 : | LPTA - Laboratoire de Physique Théorique et Astroparticules |
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| Domaine | : | Physique/Physique mathématique Mathématiques/Physique mathématique Mathématiques/Algèbres quantiques |
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| Vertex-IRF Transformation – Quantum Affine Algebra – Dynamical Quantum Groups – 8 vertex model |
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| hal-00160579, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00160579 | |
| oai:hal.archives-ouvertes.fr:hal-00160579 | |
| Contributeur : Eric Buffenoir | |
| Soumis le : Vendredi 6 Juillet 2007, 12:25:43 | |
| Dernière modification le : Samedi 7 Juillet 2007, 09:13:08 | |
