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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169007The 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.14 pagesMathematical PhysicsCorrespondence between Calogero-Moser systems and integrable SL(N,$\mathbb{C}$) Euler-Arnold topstext