Abstract
The classicalR-matrix structure for then-particle Calogero-Moser models with (type IV) elliptic potentials is investigated. We show there is no momentum independentR-matrix (without spectral parameter) whenn ⩾ 4. The assumption of momentum independence is sufficient to reproduce the dynamicalR-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 findR-matrices for the general elliptic potential.
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Braden, H.W., Suzuki, T. R-matrices for elliptic Calogero-Moser models. Lett Math Phys 30, 147–158 (1994). https://doi.org/10.1007/BF00939702
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DOI: https://doi.org/10.1007/BF00939702