AKS scheme for face and Calogero-Moser-Sutherland type models
solv-int
2009-10-30 v1 High Energy Physics - Theory
Quantum Algebra
Exactly Solvable and Integrable Systems
q-alg
Abstract
We give the construction of quantum Lax equations for IRF models and difference versions of Calogero-Moser-Sutherland models introduced by Ruijsenaars. We solve the equations using factorization properties of the underlying face Hopf algebras/elliptic quantum groups. This construction is in the spirit of the Adler-Kostant-Symes method and generalizes our previous work to the case of face Hopf algebras/elliptic quantum groups with dynamical R-matrices.
Cite
@article{arxiv.solv-int/9710006,
title = {AKS scheme for face and Calogero-Moser-Sutherland type models},
author = {Branislav Jurco and Peter Schupp},
journal= {arXiv preprint arXiv:solv-int/9710006},
year = {2009}
}
Comments
24 pages, latex