Outer automorphisms of \(sl(2)\), integrable systems, and mappings

DOI10.1007/BF02557309zbMath0960.37032MaRDI QIDQ1568003

Andreĭ Vladimirovich Tsyganov

Publication date: 26 June 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Lie algebraHamiltonian systemLax matricesdiscrete integrable mapping

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) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (2)

An integrable system related to the spherical top and the Toda chain ⋮ Canonical transformations of the extended phase space and integrable systems

Cites Work

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• Homogeneous Stäckel-type systems
• Dynamical \(r\)-matrices for integrable maps
• Discrete and continuous integrable systems possessing the same non-dynamical \(r\)-matrix.
• Integrable maps
• Automorphisms of sl(2) and dynamical r-matrices
• Dynamical boundary conditions for integrable lattices
• Linear r-matrix algebra for classical separable systems

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