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Cite Journal: Letters in Mathematical Physics |  Publication Date: Jan 1, 2002 |
 Citations: 66 |  License type: other-oa |
Affiliation: Kyushu University, Kobe University
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 Painleve equations. Our construction has a combinatorial counterpart through the ultra-discretization procedure.
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