Universal Vertex-IRF Transformation.

Abstract : We construct a universal Vertex-IRF transformation between Vertex type universal solution and Face type universal solution of the quantum dynamical Yang-Baxter equation, in the finite dimensional and affine case. In the fundamental evaluation representation of Uq(A1(1)), this object is equal to standard Vertex-IRF transformation introduced by Baxter in his study of 8-vertex model. This universal Vertex-IRF transformation satisfies the Quantum Dynamical coBoundary equation. This solution has a simple Gauss decomposition which appears to be intimately related to the structure of quantum version of Whittaker vectors. We will present the consequences of our algebraic structures in the study of Whittaker Functions.
Type de document :
Communication dans un congrès
RAQIS'07, Sep 2007, Annecy-le-Vieux, France
Liste complète des métadonnées

Contributeur : Logiciel Aigle <>
Soumis le : vendredi 6 juin 2008 - 23:02:49
Dernière modification le : jeudi 11 janvier 2018 - 06:12:54


  • HAL Id : hal-00286024, version 1



Eric Buffenoir. Universal Vertex-IRF Transformation.. RAQIS'07, Sep 2007, Annecy-le-Vieux, France. 〈hal-00286024〉



Consultations de la notice