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VOL. 55 | 2009 A quantization of the sixth Painlevé equation
Hajime Nagoya

Editor(s) Jean-Pierre Bourguignon, Motoko Kotani, Yoshiaki Maeda, Nobuyuki Tose

## 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