Additive deformations of the r-matrix algebras

DOI10.1088/0305-4470/27/20/015zbMath0843.17013OpenAlexW2042709474MaRDI QIDQ4874992

Andreĭ Vladimirovich Tsyganov

Publication date: 21 August 1996

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/27/20/015

zbMATH Keywords

integrable systemsrepresentations\(R\)-matrix algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Exactly solvable models; Bethe ansatz (82B23)

Related Items (5)

Stationary problems for equation of the KdV type and dynamical r-matrices ⋮ The Kowalewski top: A new Lax representation ⋮ Families of dynamical r-matrices and Jacobi inversion problem for nonlinear evolution equations ⋮ Noncanonical time transformations relating finite-dimensional integrable systems ⋮ Automorphisms of sl(2) and dynamical r-matrices

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