Lie algebras on hyperelliptic curves and finite-dimensional integrable systems

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dc.creatorSkrypnyk, T.
dc.date2000-10-02
dc.date.accessioned2026-07-07T05:33:03Z
dc.date.available2026-07-07T05:33:03Z
dc.descriptionWe 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 Steklov-Liapunov, associated with the e(3) algebra and Steklov-Veselov associated with the so(4) algebra.
dc.descriptionTalk given on the XXIII International Colloquium on Group Theoretical Methods in Physics held in Dubna, Russia, 31 July - 5 August,2000
dc.identifierhttps://arxiv.org/abs/nlin/0010005
dc.identifierhttp://arxiv.org/abs/nlin/0010005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79873
dc.subjectExactly Solvable and Integrable Systems
dc.subjectPattern Formation and Solitons
dc.titleLie algebras on hyperelliptic curves and finite-dimensional integrable systems
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