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On classical r-matrix for the Kowalevski gyrostat on so(4)

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (2006) 2
DOI: 10.3842/SIGMA.2006.012
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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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Komarov, I. V., & Tsiganov, A. V. (2006). On classical r-matrix for the Kowalevski gyrostat on so(4). Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2. https://doi.org/10.3842/SIGMA.2006.012

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