Infinite series of Lie algebras and boundary conditions for integrable systems

DOI10.1007/BF01480690zbMath0779.35096OpenAlexW1975205926MaRDI QIDQ684939

Vadim B. Kuznetsov, Andreĭ Vladimirovich Tsyganov

Publication date: 15 September 1993

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01480690

zbMATH Keywords

representationsToda latticeLax representationadjoint Mathieu functionsManakov topquadratic R-matrix algebras

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional Lie (super)algebras (17B65) PDEs in connection with quantum mechanics (35Q40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) General mathematical topics and methods in quantum theory (81Q99)

Related Items (6)

A class of completely integrable quantum systems associated with classical root systems ⋮ Difference Calogero–Moser systems and finite Toda chains ⋮ Darboux-Nijenhuis variables for open generalized Toda chains ⋮ Canonical transformations of the extended phase space and integrable systems ⋮ Integrable \(N\)-dimensional systems on the Hopf algebra and \(q\)-deformations ⋮ From Hamiltonian to zero curvature formulation for classical integrable boundary conditions

Cites Work

• Boundary conditions for integrable quantum systems

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