Посилання: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.
Підтримка:This work was sponsored by CNRS, Universit´e de Cergy-Pontoise, Universit´e de Savoie and ANR Project DIADEMS (Programme Blanc ANR SIMI1 2010-BLAN-0120-02). J.A. wishes to thank LAPTh for their kind hospitality. We thank the referees for their helpful queries.
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.