Affine Weyl groups, discrete dynamical systems and Painleve equations

Authors
Noumi, M Yamada, Y
Citation
M. Noumi et Y. Yamada, Affine Weyl groups, discrete dynamical systems and Painleve equations, COMM MATH P, 199(2), 1998, pp. 281-295
Citations number
21
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616 → ACNP
Volume
199
Issue
2
Year of publication
1998
Pages
281 - 295
Database
ISI
SICI code
0010-3616(199812)199:2<281:AWGDDS>2.0.ZU;2-I
Abstract
A new class of representations of affine Weyl groups on rational functions are constructed, in order to formulate discrete dynamical systems associate d with affine root systems. As an application, some examples of difference and differential systems of Painleve type are discussed.