Symmetry algebras of Lagrangian Liouville-type systems
Publication date
2010
Authors
Kiselev, A.V.
van de Leur, J.
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Article
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Abstract
We calculate the generators and commutation relations explicitly for higher symmetry algebras of a class of hyperbolic Lagrangian systems of Liouville type, in particular, for two-dimensional Toda chains associated with semisimple complex Lie algebras.
Keywords
symmetry, two-dimensional Toda chain, Liouville-type system, Hamiltonian hierarchy, bracket
Citation
Kiselev, A V & van de Leur, J W 2010, 'Symmetry algebras of Lagrangian Liouville-type systems', Theoretical and Mathematical Physics, vol. 162, no. 2, pp. 149-162. https://doi.org/10.1007/s11232-010-0011-9