Abstract
The sixth Painlevé equation has the affine Weyl group symmetry of type $D_{4}^{(1)}$ as a group of Bäcklund transformations and is written as a Hamiltonian system. We propose a quantization of the sixth Painlevé equation with the extended affine Weyl group symmetry of type $D_{4}^{(1)}$.
Information
Published: 1 January 2009
First available in Project Euclid: 28 November 2018
zbMATH: 1185.34138
MathSciNet: MR2463505
Digital Object Identifier: 10.2969/aspm/05510291
Subjects:
Primary:
34M55
,
37K35
,
39A99
,
81S99
Keywords:
affine Weyl group symmetry
,
Painlevé equation
,
quantization
Rights: Copyright © 2009 Mathematical Society of Japan
