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On the classical R-matrix of the degenerate Calogero-Moser models

L. Feher·B. G. Pusztai
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Abstract

The most general momentum independent dynamical r-matrices are described for the standard Lax representation of the degenerate Calogero-Moser models based on $gl_n$ and those r-matrices whose dynamical dependence can be gauged away are selected. In the rational case, a non-dynamical r-matrix resulting from gauge transformation is given explicitly as an antisymmetric solution of the classical Yang-Baxter equation that belongs to the Frobenius subalgebra of $gl_n$ consisting of the matrices with vanishing last row.

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L. Feher, B. G. Pusztai. 2000-01-05. On the classical R-matrix of the degenerate Calogero-Moser models. https://doi.org/10.1023/a%3A1022868813886

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