Classical integrable lattice models through quantum group related formalism

DOI10.1007/BF01017055zbMath0851.58023arXivhep-th/9402101MaRDI QIDQ1918845

Yanyan Li

Publication date: 3 September 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9402101

zbMATH Keywords

Lax operatorsintegrable lattice models\(r\)-matrices

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) 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)

Cites Work

• On integrable systems close to the Toda lattice
• Multiparameter quantum groups and twisted quasitriangular Hopf algebras
• CONSTRUCTION OF INTEGRABLE QUANTUM LATTICE MODELS THROUGH SKLYANIN-LIKE ALGEBRAS
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• BAXTERIZATION
• Classical and quantum integrability of a derivative nonlinear Schrödinger model related to quantum group

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