Integrable systems onso(4) related toXXXspin chains with boundaries

DOI10.1088/0305-4470/37/17/013zbMath1056.81036arXivnlin/0310049OpenAlexW3125179726MaRDI QIDQ4812471

O. V. Goremykin, Andreĭ Vladimirovich Tsyganov

Publication date: 23 August 2004

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

Full work available at URL: https://arxiv.org/abs/nlin/0310049

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Exactly solvable models; Bethe ansatz (82B23) 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) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Statistical mechanics of magnetic materials (82D40)

Related Items

The Poisson bracket compatible with the classical reflection equation algebra ⋮ Separation of variables for a pair of integrable systems on \(\mathrm{so}^*(4)\) ⋮ Integrable quadratic Hamiltonians with a linear Lie-Poisson bracket ⋮ The integrable case of Adler-van Moerbeke. Discriminant set and bifurcation diagram ⋮ On bi-hamiltonian structure of some integrable systems ⋮ On Invariant Manifolds of Dynamical Systems in Lie Algebras