Integrability of the periodic Kostant-Toda flow on matrix loops of level \(k\)

DOI10.1016/j.crma.2015.01.006zbMath1312.37042OpenAlexW2081124975MaRDI QIDQ2018277

Luen-Chau Li, Zhaohu Nie

Publication date: 13 April 2015

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2015.01.006

zbMATH Keywords

Liouville integrabilityKostant-Toda flowmatrix loop

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 algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (1)

On the Liouville integrability of the periodic Kostant-Toda flow on matrix loops of level \(k\)

Cites Work

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• What is a classical r-matrix?
• The solution to a generalized Toda lattice and representation theory
• The spectrum of difference operators and algebraic curves
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• Newton polyhedra and the genus of complete intersections
• Matrix factorizations and integrable systems
• The integrability of the periodic Full Kostant-Toda on a simple Lie algebra
• The toda flow on a generic orbit is integrable
• The Toda lattice. II. Existence of integrals

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