# Symmetry algebras of Lagrangian Liouville-type systems

@article{Kiselev2009SymmetryAO, title={Symmetry algebras of Lagrangian Liouville-type systems}, author={A. V. Kiselev and Johan van de Leur}, journal={Theoretical and Mathematical Physics}, year={2009}, volume={162}, pages={149-162} }

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.

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