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Integrable systems with Belavin-Drinfeld \(R\)-matrices

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Publication:1968130
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DOI10.1016/S0375-9601(96)00898-5zbMath0962.37508OpenAlexW2070446566MaRDI QIDQ1968130

Harald Totland

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(96)00898-5



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




Cites Work

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  • Generalized Lax pairs, the modified classical Yang-Baxter equation, and affine geometry of Lie groups
  • On the classical Young-Baxter equation for simple Lie algebras
  • What is a classical r-matrix?
  • Theory of nonlinear lattices.
  • On integrable systems close to the Toda lattice
  • The classical \(r\)-matrix for the relativistic Ruijsenaars-Schneider system.
  • Lectures on Integrable Systems
  • Introduction to Lie Algebras and Representation Theory
  • Solutions of the classical Yang-Baxter equation for simple Lie algebras
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