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-Painlev´e equations in terms of the Weyl group symmetry.
[1] Jimbo M. and Sakai H., A q-Analog of the sixth Painlev´e equation, Lett. Math. Phys., 38
(1996), 145–154.
[2] Kajiwara K., Noumi M., and Yamada Y., Geometric aspects of Painlev´e equations, J. Phys.
A, 50 (2017), 073001.
[3] Sakai H., Rational surfaces associated with affine root systems and geometry of the Painlev´e
equations, Commun. Math. Phys., 220 (2001), 165–229.
[4] Sasaki S., Takagi S. and Takemura K., q-Heun equation and initial-value space of qPainlev´e equation, to appear in Proceedings of the conference FASnet21 (June, 2021),
arXiv:2110.13860.
[5] Sasaki S., Takagi S. and Takemura K., q-middle convolution and q-Painlev´e equation,
SIGMA, 18 (2022), paper 056.
[6] Tsuda T., A geometric approach to tau-functions of difference Painlev´e equations, Lett.
Math. Phys., 85 (2008), 65–78.
[7] Yamada Y., A Lax formalism for the elliptic difference Painlev´e equation, SIGMA, 5 (2009),
paper 042.
[8] Yamada Y., Lax formalism for q-Painleve equations with affine Weyl group symmetry of
(1)
type En , Int. Math. Res. Notices, 2011 (2011), 3823–3838.
...
全国の大学の
卒論・修論・学位論文
を
一発検索！
論文の公開元へ