论文信息 - On symmetry of q-Painlev\'e equations and associated linear equations

On symmetry of q-Painlev\'e equations and associated linear equations

We investigate the symmetry of the linear q-difference equations which are associated with some q-Painlevé equations. We apply it for adjustment of the expression of the time evolution on the q-Painlevé equations in terms of the Weyl group symmetry.

Kouichi Takemura

[1] Teruhisa Tsuda. A Geometric Approach to Tau-Functions of Difference Painlevé Equations , 2008, 0804.1680.

[2] M. Jimbo,et al. A q-analog of the sixth Painlevé equation , 1995, chao-dyn/9507010.

[3] Kouichi Takemura,et al. q-Heun equation and initial-value space of q-Painlev\'e equation , 2021 .

[4] H. Sakai,et al. Rational Surfaces Associated with Affine Root Systems¶and Geometry of the Painlevé Equations , 2001 .

[5] Yasuhiko Yamada. Lax formalism for q-Painleve equations with affine Weyl group symmetry of type E^{(1)}_n , 2010, 1004.1687.

[6] Yasuhiko Yamada. A Lax Formalism for the Elliptic Difference Painlevé Equation , 2008, 0811.1796.