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On Classical r-Matrix for the Kowalevski Gyrostat on so(4)

Igor V. Komarov, Andrey V. Tsiganov

nlin.SIarXiv:nlin/0512054

Abstract

We present the trigonometric Lax matrix and classical r-matrix for the Kowalevski gyrostat on so(4) algebra by using the auxiliary matrix algebras so(3,2) or sp(4).

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