Dynamical boundary conditions for integrable lattices

DOI10.1088/0305-4470/31/39/017zbMath0976.81012arXivsolv-int/9801012OpenAlexW3104998641MaRDI QIDQ4259773

Andreĭ Vladimirovich Tsyganov

Publication date: 18 December 2000

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

Full work available at URL: https://arxiv.org/abs/solv-int/9801012

zbMATH Keywords

covarianceToda latticesDrinfeld twistsreflection equationinitial \(R\)-matrixintegrable topos

Mathematics Subject Classification ID

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) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Related Items (5)

Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion ⋮ Automorphisms of \(\text{sl}(2)\) and classical integrable systems ⋮ Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions ⋮ Noncanonical time transformations relating finite-dimensional integrable systems ⋮ Outer automorphisms of \(sl(2)\), integrable systems, and mappings

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