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.
Document type :
Conference papers
RAQIS'07, Sep 2007, Annecy-le-Vieux, France


https://hal.archives-ouvertes.fr/hal-00286024
Contributor : Logiciel Aigle <>
Submitted on : Friday, June 6, 2008 - 11:02:49 PM
Last modification on : Sunday, June 8, 2008 - 9:44:00 PM

Identifiers

  • HAL Id : hal-00286024, version 1

Collections

Citation

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

Export

Share

Metrics

Consultation de la notice

41