R-matrices for Elliptic Calogero-Moser Models
H. W. Braden, Takashi Suzuki
Abstract
The classical R-matrix structure for the n-particle Calogero-Moser models with (type IV) elliptic potentials is investigated. We show there is no momentum independent R-matrix (without spectral parameter) when n4. The assumption of momentum independence is sufficient to reproduce the dynamical R-matrices of Avan and Talon for the type I,II,III degenerations of the elliptic potential. The inclusion of a spectral parameter enables us to find R-matrices for the general elliptic potential.
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