Poisson-Lie Dynamical r-matrices from Dirac Reduction

DOI10.1007/s10582-004-9788-9zbMath1465.37068arXivmath/0406274OpenAlexW3105085528MaRDI QIDQ5000516

László Fehér

Publication date: 14 July 2021

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

Full work available at URL: https://arxiv.org/abs/math/0406274

zbMATH Keywords

Poisson-Lie groupsclassical dynamical Yang-Baxter equation

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (1)

Gauge fixing and classical dynamical \(r\)-matrices in \(\mathrm{ISO}(2, 1)\)-Chern-Simons theory

Cites Work

• Unnamed Item
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Geometry and classification of solutions of the classical dynamical Yang-Baxter equation
• Chiral extensions of the WZNW phase space, Poisson-Lie symmetries and groupoids
• On a Poisson--Lie analogue of the classical dynamical Yang--Baxter equation for self-dual Lie algebras
• A class of integrable spin Calogero-Moser systems
• Dressing transformations and Poisson group actions

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