Regularization of Toda lattices by Hamiltonian reduction

DOI10.1016/S0393-0440(96)00010-1zbMath0865.58027arXivhep-th/9511118MaRDI QIDQ1349437

László Fehér, Izumi Tsutsui

Publication date: 13 February 1997

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9511118

zbMATH Keywords

Toda latticeHamiltonian symmetry reduction

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie groups to the sciences; explicit representations (22E70) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (7)

The Toda flows preserving small cells of the flag variety \(G/B\) and Kazhdan's \(x_{0}\)-grading ⋮ Black holes as generalised Toda molecules ⋮ \(W\)-algebras for non-abelian Toda systems ⋮ Fifty years of the finite nonperiodic Toda lattice: a geometric and topological viewpoint ⋮ Hamiltonian reduction of free particle motion on the group \(SL(2,\mathbb{R})\) ⋮ A new model in the Calogero-Ruijsenaars family ⋮ Adler-Kostant-Symes systems as Lagrangian gauge theories

Cites Work

• Integrable Hamiltonian systems connected with graded Lie algebras
• Lie algebras and equations of Korteweg-de Vries type
• Non-compact symmetric spaces and the Toda molecule equations
• A new integrable case of the motion of the 4-dimensional rigid body
• Variétés de drapeaux et réseaux de Toda. (Flag manifolds and Toda lattices)
• Generalized Toda theories and \(\mathcal W\)-algebras associated with integral gradings
• Reduction of Hamiltonian systems, affine Lie algebras and Lax equations
• Completeness of real Toda flows and totally positive matrices
• Quantum-mechanical Liouville model with attractive potential
• The toda flow on a generic orbit is integrable
• Reduced SL(2,R) WZNW quantum mechanics
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