A decoupling property of some Poisson structures on Matn×d(C)×Matd×n(C) supporting GL(n,C)×GL(d,C) Poisson–Lie symmetry

DOI10.1063/5.0035935zbMath1492.53095arXiv2112.00381OpenAlexW3137433003MaRDI QIDQ5859150

Maxime Fairon, László Fehér

Publication date: 15 April 2021

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

Full work available at URL: https://arxiv.org/abs/2112.00381

zbMATH Keywords

Poisson structuresholomorphic Poisson structuresPoisson-Lie symmetries

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63)

Cites Work

• Hyperbolic spin Ruijsenaars-Schneider model from Poisson reduction
• Trigonometric real form of the spin RS model of Krichever and Zabrodin
• Phase spaces related to standard classicalr-matrices
• Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra
• Elements of Classical and Quantum Integrable Systems
• Dressing transformations and Poisson group actions
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