Lie algebras on hyperelliptic curves and finite-dimensional integrable systems |
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| Authors: | T. V. Skrypnyk |
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| Affiliation: | (1) Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Metrologicheskaya ul. 14b, Kiev, Ukraine |
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| Abstract: | We construct a new family of infinite-dimensional Lie algebras on hyperelliptic curves. Using them, we find new integrable Hamiltonian systems, which are direct higher rank generalizations of the Steklov-Liapunov integrable systems associated with the e(3) algebra and the Steklov-Veselov integrable systems associated with the so(4) algebra. |
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