Integrable <Emphasis Type="Italic">sl</Emphasis>(<Emphasis Type="Italic">N</Emphasis>, ℂ) tops as Calogero-Moser systems |
| |
Authors: | A V Smirnov |
| |
Institution: | (1) Institute for Theoretical and Experimental Physics, Moscow, Russia |
| |
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. |
| |
Keywords: | integrable system Euler-Arnold top Yang-Baxter equation |
本文献已被 SpringerLink 等数据库收录! |
|