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# Lie algebras on hyperelliptic curves and finite-dimensional integrable systems

@inproceedings{Skrypnyk2000LieAO, title={Lie algebras on hyperelliptic curves and finite-dimensional integrable systems}, author={T. Skrypnyk}, year={2000} }

- Published 2000

We construct a new family of infinite-dimensional quasi-graded Lie algebras on hyperelliptic curves. We show that constructed algebras possess infinite number of invariant functions and admit a decomposition into the direct sum of two subalgebras. These two facts together enables one to use them to construct new integrable finite-dimensional hamiltonian systems. In such a way we find new integrable hamiltonian systems, which are direct higher rank generalizations of the integrable systems of… CONTINUE READING