A q-Analogue of the Higher Order Painlevé Type Equations with the Affine Weyl Group Symmetry of Type D

抄録

We present a q-difference analogue of the higher order differential equations of Painlevé type whose symmetry can be described by the affine Weyl group of type D, so-called the Sasano system. It is derived from the birational realization of Weyl groups as a group of pseudo isomorphisms of certain algebraic varieties. The continuous limit is also investigated.