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Affine Weyl groups, discrete dynamical systems and Painleve equations

Masatoshi Noumi·Yasuhiko Yamada
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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.

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Masatoshi Noumi, Yasuhiko Yamada. 1998-04-28. Affine Weyl groups, discrete dynamical systems and Painleve equations. https://doi.org/10.1007/s002200050502

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