Discrete Dynamical Systems with W(A (1) m−1 × A (1) n−1) Symmetry
Tóm tắt
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.
Tài liệu tham khảo
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