Correspondence between Calogero-Moser systems and integrable SL(N,$\mathbb{C}$) Euler-Arnold tops
Mathematical Physics
2008-09-15 v1 math.MP
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.
Keywords
Cite
@article{arxiv.0809.2187,
title = {Correspondence between Calogero-Moser systems and integrable SL(N,$\mathbb{C}$) Euler-Arnold tops},
author = {Andrey Smirnov},
journal= {arXiv preprint arXiv:0809.2187},
year = {2008}
}
Comments
14 pages