Universal Vertex-IRF Transformation for Quantum Affine Algebras

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dc.creatorBuffenoir, Eric
dc.creatorRoche, Philippe
dc.creatorTerras, Véronique
dc.date2007-07-06
dc.date.accessioned2026-07-07T08:14:29Z
dc.date.available2026-07-07T08:14:29Z
dc.descriptionWe 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.
dc.description58 pages
dc.identifierhttps://arxiv.org/abs/0707.0955
dc.identifierhttp://arxiv.org/abs/0707.0955
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133138
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.titleUniversal Vertex-IRF Transformation for Quantum Affine Algebras
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