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Spin Calogero models and dynamical r-matrices

L. Feher, B. G. Pusztai

math-pharXiv:math-ph/0511059

Abstract

The main point of the construction of spin Calogero type classical integrable systems based on dynamical r-matrices, developed by L.-C. Li and P. Xu, is reviewed. It is shown that non-Abelian dynamical r-matrices with variables in a reductive Lie algebra F and their Abelian counterparts with variables in a Cartan subalgebra of F lead essentially to the same models.

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