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VOL. 61 | 2011 Quantizing the Bäcklund transformations of Painlevé equations and the quantum discrete Painlevé VI equation
Koji Hasegawa

Editor(s) Koji Hasegawa, Takahiro Hayashi, Shinobu Hosono, Yasuhiko Yamada

Abstract

Based on the works by Kajiwara, Noumi and Yamada, we propose a canonically quantized version of the rational Weyl group representation which originally arose as symmetries or the Bäcklund transformations in Painlevé equations. We thereby propose a quantization of discrete Painlevé VI equation as a discrete Hamiltonian flow commuting with the action of $W (D_4^{(1)})$.

Information

Published: 1 January 2011
First available in Project Euclid: 24 November 2018

zbMATH: 1241.81114
MathSciNet: MR2867149

Digital Object Identifier: 10.2969/aspm/06110275

Rights: Copyright © 2011 Mathematical Society of Japan

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