On the classical R-matrix of the degenerate Calogero-Moser models
Mathematical Physics
2009-10-31 v2 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
The most general momentum independent dynamical r-matrices are described for the standard Lax representation of the degenerate Calogero-Moser models based on 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 consisting of the matrices with vanishing last row.
Keywords
Cite
@article{arxiv.math-ph/9912021,
title = {On the classical R-matrix of the degenerate Calogero-Moser models},
author = {L. Feher and B. G. Pusztai},
journal= {arXiv preprint arXiv:math-ph/9912021},
year = {2009}
}
Comments
Talk by L. F. at the 8-th Colloquium on Quantum Groups and Integrable Systems, Prague, June 1999; 7 pages, LaTeX; with new references added