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

Kenji Kajiwara, Masatoshi Noumi, Yasuhiko Yamada

Research output: Contribution to journalArticlepeer-review

50 Citations (Scopus)


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 languageEnglish
Pages (from-to)211-219
Number of pages9
JournalLetters in Mathematical Physics
Issue number3
Publication statusPublished - Jun 2002

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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