By applying the Hamiltonian reduction technique we derive a matrix first order differential equation that yields the classical r-matrices of the elliptic (Euler-) Calogero-Moser systems as well as their degenerations.
@article{bwmeta1.element.bwnjournal-article-bcpv40z1p249bwm, author = {Arutyunov, Gleb}, title = {Geometric construction of the classical r-matrix for the elliptic Calogero-Moser system}, journal = {Banach Center Publications}, volume = {38}, year = {1997}, pages = {249-259}, zbl = {0879.58030}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv40z1p249bwm} }
Arutyunov, Gleb. Geometric construction of the classical r-matrix for the elliptic Calogero-Moser system. Banach Center Publications, Tome 38 (1997) pp. 249-259. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv40z1p249bwm/
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