The integrability of the periodic Full Kostant-Toda on a simple Lie algebra

zbMath1264.17018arXiv1102.0036MaRDI QIDQ3106533

Khaoula Ben Abdeljelil

Publication date: 28 December 2011

Full work available at URL: https://arxiv.org/abs/1102.0036

zbMATH Keywords

Toda latticeintegrable systemLax pairsimple Lie algebraR-matrix

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Applications of Lie algebras and superalgebras to integrable systems (17B80) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (4)

Some Poisson structures and Lax equations associated with the Toeplitz lattice and the Schur lattice ⋮ The Toda flow on Hessenberg elements of real, split simple Lie algebras ⋮ On the Liouville integrability of the periodic Kostant-Toda flow on matrix loops of level \(k\) ⋮ Integrability of the periodic Kostant-Toda flow on matrix loops of level \(k\)

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