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

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

1999-12-29

arxiv.org/abs/math-ph/9912021v2

Czech.J.Phys. 50 (2000) 59-64

Physics

Mathematical Physics

Talk by L. F. at the 8-th Colloquium on Quantum Groups and Integrable Systems, Prague, June 1999; 7 pages, LaTeX; with new ref

Scientific paper

10.1023/A:1022868813886

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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