Discrete dynamical systems with W(A(1)m-1 × A(1)n-1) symmetry

Kenji Kajiwara; Masatoshi Noumi; Yasuhiko Yamada

doi:10.1023/A:1016298925276

Discrete dynamical systems with W(A⁽¹⁾_m-1 × A⁽¹⁾_n-1) symmetry

Kenji Kajiwara, Masatoshi Noumi, Yasuhiko Yamada

Division of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

50 Citations (Scopus)

Abstract

We give a birational realization of affine Weyl group of type A⁽¹⁾_m-1 × A⁽¹⁾_n-1. We apply this representation to construct some discrete integrable systems and discrete Painlevé equations. Our construction has a combinatorial counterpart through the ultra-discretization procedure.

Original language	English
Pages (from-to)	211-219
Number of pages	9
Journal	Letters in Mathematical Physics
Volume	60
Issue number	3
DOIs	https://doi.org/10.1023/A:1016298925276
Publication status	Published - Jun 2002

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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abstract = "We give a birational realization of affine Weyl group of type A(1)m-1 × A(1)n-1. We apply this representation to construct some discrete integrable systems and discrete Painlev{\'e} equations. Our construction has a combinatorial counterpart through the ultra-discretization procedure.",

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Discrete dynamical systems with W(A⁽¹⁾_m-1 × A⁽¹⁾_n-1) symmetry

Abstract

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