Spin Calogero models and dynamical r-matrices

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 $\mathcal{F}$ and their Abelian counterparts with variables in a Cartan subalgebra of $\mathcal{F}$ lead essentially to the same models.

Based on talk by L.F. at Symposium QTS-4, Varna (Bulgaria), August 2005; 12 pages, a remark is added and a reference is updated in v2