Correspondence between Calogero-Moser systems and integrable SL(N,$\mathbb{C}$) Euler-Arnold tops

Details Correspondence between Calogero-Moser systems and integrable SL(N,$\mathbb{C}$) Euler-Arnold tops Correspondence between Calogero-Moser systems and integrable SL(N,$\mathbb{C}$) Euler-Arnold tops

2008-09-12

arxiv.org/abs/0809.2187v1

Physics

Mathematical Physics

14 pages

Scientific paper

The equivalence between the N-particle Calogero-Moser systems and the
integrable sl(N,$\mathbb{C}$)-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,$\mathbb{C}$) are
discussed. Explicit formulae for N=2,3,4 are presented.

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