Correspondence between Calogero-Moser systems and integrable SL(N,) Euler-Arnold tops
arXiv:0809.2187
Abstract
The equivalence between the N-particle Calogero-Moser systems and the integrable sl(N,)-tops is shown. New rational and trigonometric classical Lax operators for these systems are found. Relations with new solutions of the classical Yang-Baxter equations for sl(N,) are discussed. Explicit formulae for N=2,3,4 are presented.
14 pages