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

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dc.creatorSmirnov, Andrey
dc.date2008-09-12
dc.date.accessioned2026-07-07T10:02:32Z
dc.date.available2026-07-07T10:02:32Z
dc.descriptionThe 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.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0809.2187
dc.identifierhttp://arxiv.org/abs/0809.2187
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169007
dc.subjectMathematical Physics
dc.titleCorrespondence between Calogero-Moser systems and integrable SL(N,$\mathbb{C}$) Euler-Arnold tops
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