Geodesic
Integrable $sl(N,\mathbb C)$ tops as Calogero--Moser systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 158 (2009) no. 3, pp. 355-369

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We show a relation between systems of integrable tops on the algebras $sl(N,\mathbb C)$ and Calogero–Moser systems of $N$ particles. We construct classical Lax operators corresponding to these systems. We show that these operators are related to certain new trigonometric and rational solutions of the Yang–Baxter equations for the algebras $sl(N,\mathbb C)$ and give explicit formulas for $N=2,3$.
Keywords: integrable system, Euler–Arnold top, Yang–Baxter equation. 
@article{TMF_2009_158_3_a2,
     author = {A. V. Smirnov},
     title = {Integrable $sl(N,\mathbb C)$ tops as {Calogero--Moser} systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {355--369},
     publisher = {mathdoc},
     volume = {158},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_158_3_a2/}
}
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A. V. Smirnov. Integrable $sl(N,\mathbb C)$ tops as Calogero--Moser systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 158 (2009) no. 3, pp. 355-369. http://geodesic.mathdoc.fr/item/TMF_2009_158_3_a2/