A new Lax pair for the sixth Painlevé equation associated with $\hat{\mathfrak{so}}(8)$

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dc.creatorNoumi, Masatoshi
dc.creatorYamada, Yasuhiko
dc.date2002-03-18
dc.date.accessioned2026-07-07T04:29:03Z
dc.date.available2026-07-07T04:29:03Z
dc.descriptionA new Lax pair for the sixth Painlevé equation $P_{VI}$ is constructed in the framework of the loop algebra $\mathfrak{so}(8)[z,z^{-1}]$. The whole affine Weyl group symmetry of $P_{VI}$ is interpreted as gauge transformations of the corresponding linear problem.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0203029
dc.identifierhttp://arxiv.org/abs/math-ph/0203029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57017
dc.subjectMathematical Physics
dc.subjectRepresentation Theory
dc.titleA new Lax pair for the sixth Painlevé equation associated with $\hat{\mathfrak{so}}(8)$
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