Affine Weyl groups, discrete dynamical systems and Painleve equations

Details Affine Weyl groups, discrete dynamical systems and Painleve equations Affine Weyl groups, discrete dynamical systems and Painleve equations

1998-04-28

arxiv.org/abs/math/9804132v1

Mathematics

Quantum Algebra

AMSLaTeX, 16 pages

Scientific paper

10.1007/s002200050502

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.

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