Kowalevski top revisited
نویسنده
چکیده
We review the separation of variables for the Kowalevski top and for its generalization to the algebra o(4). We notice that the corresponding separation equations allow an interpretation of the Kowalevski top as a B (1) 2 integrable lattice. Consequently, we apply the quadratic r-matrix formalism to construct a new 2× 2 Lax matrix for the top, which is responsible for its separation of variables. To appear in: Kowalevski property (2002). CRM Proc. & Lecture Notes, (V. B. Kuznetsov, Editor), surveys from Kowalevski Workshop on Mathematical Methods of Regular Dynamics (Leeds, April 2000), American Mathematical Society EPSRC Advanced Research Fellow
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