Quantizing the Bäcklund transformations of Painlevé equations and the quantum discrete Painlevé VI equation

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dc.creatorHasegawa, Koji
dc.date2007-03-01
dc.date.accessioned2026-07-07T07:49:35Z
dc.date.available2026-07-07T07:49:35Z
dc.descriptionBased 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 the discrete Painlevé VI equation as a discrete Hamiltonian flow commuting with the action of $W(D_4^{(1)})$.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0703036
dc.identifierhttp://arxiv.org/abs/math/0703036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124907
dc.subjectQuantum Algebra
dc.subject37K60, 39A70, 81R50
dc.titleQuantizing the Bäcklund transformations of Painlevé equations and the quantum discrete Painlevé VI equation
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