Spin Calogero models and dynamical r-matrices

Details Spin Calogero models and dynamical r-matrices Spin Calogero models and dynamical r-matrices

2005-11-18

arxiv.org/abs/math-ph/0511059v2

Bulg. J. Phys. 33 (2006) 261-272

Physics

Mathematical Physics

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

Scientific paper

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

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