The monoidal transformation by Painlevé divisor and resolution of the poles of the Toda lattice

DOI10.1016/j.matpur.2008.06.006zbMath1185.37149OpenAlexW2041166194MaRDI QIDQ950549

Kaoru Ikeda

Publication date: 30 October 2008

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2008.06.006

zbMATH Keywords

level setToda latticePainlevé divisormonoidal transformation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (2)

On stable solutions of the finite non-periodic Toda lattice ⋮ The resolutions of the singular loci of the Toda lattice on the split and connected reductive Lie groups

Cites Work

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• The Toda flows preserving small cells of the flag variety \(G/B\) and Kazhdan's \(x_{0}\)-grading
• Compactifications of the iso level sets of the Hessenberg matrices and the full Kostant-Toda lattice
• The complex geometry of the Kowalewski-Painlevé analysis
• Variétés de drapeaux et réseaux de Toda. (Flag manifolds and Toda lattices)
• On Whittaker vectors and representation theory
• Limit matrices for the Toda flow and periodic flags for loop groups
• On the geometry of certain isospectral sets in the full Kostant-Toda lattice

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