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Universal Vertex-IRF Transformation.
Buffenoir E.
RAQIS'07, Annecy-le-Vieux : France (2007) - http://hal.archives-ouvertes.fr/hal-00286024
Physique/Physique mathématique
Mathématiques/Algèbres quantiques
Universal Vertex-IRF Transformation.
Eric Buffenoir ()1
1 :  LPTA - Laboratoire de Physique Théorique et Astroparticules
http://www.lpta.in2p3.fr/
CNRS : UMR5207 – IN2P3 – Université Montpellier II - Sciences et techniques
Bât 13- 1er Et. - CC 070 Place Eugène Bataillon 34095 MONTPELLIER CEDEX 5
France
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.
Anglais

internationale
Conférences invitées

RAQIS'07
11/09/2007
Annecy-le-Vieux
France

07-067