scientific article; zbMATH DE number 1163512

zbMath1078.37513arXivq-alg/9703023MaRDI QIDQ4395066

Michaael A. Semenov-Tian-Shansky

Publication date: 1997

Full work available at URL: https://arxiv.org/abs/q-alg/9703023

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Mathematics Subject Classification ID

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) Groups and algebras in quantum theory and relations with integrable systems (81R12)

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Rational \(so(3)\) Gaudin model with general boundary terms ⋮ Algebraic Bethe ansatz for the \(s\ell(2)\) Gaudin model with boundary ⋮ Algebraic Bethe ansatz for the XXZ Heisenberg spin chain with triangular boundaries and the corresponding Gaudin model ⋮ Noncommutative integrability from classical to quantum mechanics ⋮ An operator approach to the rational solutions of the classical Yang-Baxter equation ⋮ Algebraic Bethe ansatz for the XXX chain with triangular boundaries and Gaudin model ⋮ Jordanian deformation of the open \(s\ell(2)\) Gaudin model ⋮ Generalized \(s\ell(2)\) Gaudin algebra and corresponding Knizhnik-Zamolodchikov equation ⋮ Bethe states and Knizhnik-Zamolodchikov equations of the trigonometric Gaudin model with triangular boundary ⋮ Algebraic Bethe ansatz for deformed Gaudin model

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