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Integrable sl(N, ℂ) tops as Calogero-Moser systems
Authors:A. V. Smirnov
Affiliation:(1) Institute for Theoretical and Experimental Physics, Moscow, Russia
Abstract:We show a relation between systems of integrable tops on the algebras sl(N, ) 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, ) and give explicit formulas for N = 2, 3. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 158, No. 3, pp. 355–369, March, 2009.
Keywords:integrable system  Euler-Arnold top  Yang-Baxter equation
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