Discrete dynamical systems with $W(A^{(1)}_{m-1} \times A^{(1)}

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80035We give a birational realization of affine Weyl group of type $A^{(1)}_{m-1} \times A^{(1)}_{n-1}$. 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.10 pagesExactly Solvable and Integrable SystemsDiscrete dynamical systems with $W(A^{(1)}_{m-1} \times A^{(1)}_{n-1})$ symmetrytext