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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 158, Number 3, Pages 355–369
DOI: https://doi.org/10.4213/tmf6319 (Mi tmf6319) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Integrable $sl(N,\mathbb C)$ tops as Calogero–Moser systems

A. V. Smirnov

Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
Full-text PDF (402 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf6319
Abstract: 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.
Received: 06.06.2008
English version:
Theoretical and Mathematical Physics, 2009, Volume 158, Issue 3, Pages 300–312
DOI: https://doi.org/10.1007/s11232-009-0024-4
Bibliographic databases:
Language: Russian
Citation: A. V. Smirnov, “Integrable $sl(N,\mathbb C)$ tops as Calogero–Moser systems”, TMF, 158:3 (2009), 355–369; Theoret. and Math. Phys., 158:3 (2009), 300–312
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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