We present a description of the additional symmetry of the discrete dynamical systems proposed by Kajiwara–Noumi–Yamada, which originally possess an extended affine Weyl group symmetry \(\widetilde{W}(A_{m-1}^{(1)})\times \widetilde{W}(A_{n-1}^{(1)})\). We also propose a formulation of the systems in terms of the so-called \(\tau \)-variables.

中文翻译：

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关于与 A 型仿射 Weyl 群相关的 q-Painlevé 系统的附加对称性和双线性化

我们描述了 Kajiwara-Noumi-Yamada 提出的离散动力系统的附加对称性，该系统最初具有扩展的仿射 Weyl 群对称性\(\widetilde{W}(A_{m-1}^{(1)} )\times \widetilde{W}(A_{n-1}^{(1)})\)。我们还提出了用所谓的\(\tau \)变量来表示系统的公式。