The R-matrix structure of the Euler-Calogero-Moser model
E. Billey, J. Avan, O. Babelon
TL;DR
This paper constructs the r-matrix for a generalized Calogero-Moser system, including reductions to specific models, providing a deeper algebraic understanding of these integrable systems.
Contribution
It introduces the r-matrix for the generalized Gibbons-Hermsen Calogero-Moser system and derives specific cases through reduction procedures.
Findings
r-matrix constructed for the generalized system
r-matrix obtained for O(N) Euler-Calogero-Moser model
r-matrix derived for standard A_N Calogero-Moser model
Abstract
We construct the -matrix for the generalization of the Calogero-Moser system introduced by Gibbons and Hermsen. By reduction procedures we obtain the -matrix for the Euler-Calogero-Moser model and for the standard Calogero-Moser model.
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