Affine Weyl group symmetry of the Garnier system

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dc.creatorSuzuki, Takao
dc.date2003-12-25
dc.date2005-03-20
dc.date.accessioned2026-07-07T04:30:51Z
dc.date.available2026-07-07T04:30:51Z
dc.descriptionWe show that the Garnier system in n-variables has affine Weyl group symmetry of type $B^{(1)}_{n+3}$. We also formulate the $τ$ functions for the Garnier system (or the Schlesinger system of rank 2) on the root lattice $Q(C_{n+3})$ and show that they satisfy Toda equations, Hirota-Miwa equations and bilinear differential equations.
dc.description33 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0312068
dc.identifierhttp://arxiv.org/abs/math-ph/0312068
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57612
dc.subjectMathematical Physics
dc.subjectRepresentation Theory
dc.titleAffine Weyl group symmetry of the Garnier system
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