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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• Main Authors: Komarov, I.V., Tsiganov, A.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146437
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Classical r-Matrix for the Kowalevski Gyrostat on so(4) / I.V. Komarov, A.V. Tsiganov // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 10 назв. — англ.

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).