Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• Main Authors: Avan, J., Ragoucy, E.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148655
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure / J. Avan, E. Ragoucy // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 32 назв. — англ.

We compute the full expression of the second Poisson bracket structure for N=2 and N=3 site rational classical Calogero-Moser model. We propose an r-matrix formulation for N=2. It is identified with the classical limit of the second dynamical boundary algebra previously built by the authors.