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 Painlevé type are discussed.
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Received: 11 May 1998 / Accepted: 2 July 1998
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Noumi, M., Yamada, Y. Affine Weyl Groups, Discrete Dynamical Systems and Painlevé Equations. Comm Math Phys 199, 281–295 (1998). https://doi.org/10.1007/s002200050502
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DOI: https://doi.org/10.1007/s002200050502