Affine Weyl groups, discrete dynamical systems and Painleve equations
Quantum Algebra
2009-10-31 v1
Abstract
A new class of representations of affine Weyl groups on rational functions are constructed, in order to formulate discrete dynamical systems associated with affine root systems. As an application, some examples of difference and differential systems of Painleve type are discussed.
Cite
@article{arxiv.math/9804132,
title = {Affine Weyl groups, discrete dynamical systems and Painleve equations},
author = {Masatoshi Noumi and Yasuhiko Yamada},
journal= {arXiv preprint arXiv:math/9804132},
year = {2009}
}
Comments
AMSLaTeX, 16 pages