Integrable \(sl(N,\mathbb C)\) tops as Calogero-Moser systems

DOI10.1007/s11232-009-0024-4zbMath1175.70006OpenAlexW2083659377MaRDI QIDQ1034423

Andrey V. Smirnov

Publication date: 6 November 2009

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

Full work available at URL: https://doi.org/10.1007/s11232-009-0024-4

zbMATH Keywords

Yang-Baxter equationintegrable systemEuler-Arnold top

Mathematics Subject Classification ID

Motion of the gyroscope (70E05)

Related Items

Planck constant as spectral parameter in integrable systems and KZB equations ⋮ Limit relation between Toda chains and the elliptic \(\mathrm{SL}(N,\mathbb{C})\) top ⋮ Degenerating the elliptic Schlesinger system

Cites Work

• Stable bundles and integrable systems
• On trigonometric intertwining vectors and non-dynamical \(R\)-matrix for the Ruijsenaars model
• Hitchin systems -- symplectic Hecke correspondence and two-dimensional version
• Degenerations of Sklyanin algebra and Askey-Wilson polynomials