On the classical R-matrix of the degenerate Calogero-Moser models
L. Feher, B. G. Pusztai
Abstract
The most general momentum independent dynamical r-matrices are described for the standard Lax representation of the degenerate Calogero-Moser models based on gln 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 gln consisting of the matrices with vanishing last row.
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