Abstract
We introduce the concept of ω-lattice, constructed from τ functions of Painlevé systems, on which quad-equations of ABS (Adler-Bobenko-Suris) type appear. In particular, we consider the A5(1)- and A6(1)-surface q-Painlevé systems corresponding affine Weyl group symmetries are of (A2 + A1)(1)- and (A1 + A1)(1)-types, respectively.
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