Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 2 (2006), 012, 9 pages      nlin.SI/0512054      https://doi.org/10.3842/SIGMA.2006.012

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

Igor V. Komarov and Andrey V. Tsiganov
V.A. Fock Institute of Physics, St. Petersburg State University, St. Petersburg, Russia

Received November 18, 2005, in final form January 19, 2006; Published online January 24, 2006

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).

Key words: Kowalevski top; Lax matrices; classical r-matrix.

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