Deformed Yangians and integrable models

DOI10.1023/A:1022869414679zbMath0942.81029arXivq-alg/9708024MaRDI QIDQ1574901

Alexander Stolin, Petr P. Kulish

Publication date: 14 August 2000

Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9708024

zbMATH Keywords

deformationsintegrable modelsGaudin modelquantum inverse scattering methodtwisted Hopf algebradeformed Yangians

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Groups and algebras in quantum theory and relations with integrable systems (81R12) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (16)

Unnamed Item ⋮ Quantum groups: from the Kulish-Reshetikhin discovery to classification ⋮ Jordanian deformation of the open \(s\ell(2)\) Gaudin model ⋮ Quantum integrability and quantum groups: a special issue in memory of Petr P Kulish ⋮ Non-Hermitian spin chains with inhomogeneous coupling ⋮ Chains of Frobenius subalgebras of so(M) and the corresponding twists ⋮ Jordanian deformation of the open XXX spin chain ⋮ One parameter family of Jordanian twists ⋮ Schrödinger sigma models and Jordanian twists ⋮ Dynamic systems related to the Cremmer-Gervais \(R\)-matrix ⋮ Algebraic Bethe ansatz for deformed Gaudin model ⋮ Twisted masses and enhanced symmetries: the A\&D series ⋮ Symplecton for Uh(sl(2)) and representations of SLh(2) ⋮ s l 2 Gaudin model with jordanian twist ⋮ Poisson–Hopf deformations of Lie–Hamilton systems revisited: deformed superposition rules and applications to the oscillator algebra ⋮ Extensions of peripheric extended twists and inhomogeneous Lie algebras

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