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