Посилання: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.
Підтримка:The authors thank E. Sklyanin and N. Reshetikhin for very useful conversations on the subject of this paper. I.V.K. wishes to thank the London Mathematical Society for support his visit to England and V.B. Kuznetsov for hospitality at the University of Leeds.
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).