R-matrices for elliptic Calogero-Moser models |
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Authors: | H. W. Braden Takashi Suzuki |
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Affiliation: | (1) Department of Mathematics and Statistics, University of Edinburgh, Edinburgh, Scotland, UK |
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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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Keywords: | 81U10 |
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