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Universal Vertex-IRF Transformation for Quantum Affine Algebras
E. Buffenoir1, P. Roche1, V. Terras1
(06/07/2007)

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.
1 :  LPTA - Laboratoire de Physique Théorique et Astroparticules
Physique/Physique mathématique

Mathématiques/Physique mathématique

Mathématiques/Algèbres quantiques
Vertex-IRF Transformation – Quantum Affine Algebra – Dynamical Quantum Groups – 8 vertex model
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