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Symmetry algebras of Lagrangian Liouville-type systems

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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.

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Authors and Affiliations

  1. Mathematical Institute, University of Utrecht, Utrecht, The Netherlands

    A. V. Kiselev & J. W. van de Leur

Authors
  1. A. V. Kiselev
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  2. J. W. van de Leur
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Correspondence to A. V. Kiselev.

Additional information

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 162, No. 2, pp. 179–195, February, 2010.

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Kiselev, A.V., van de Leur, J.W. Symmetry algebras of Lagrangian Liouville-type systems. Theor Math Phys 162, 149–162 (2010). https://doi.org/10.1007/s11232-010-0011-9

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  • DOI: https://doi.org/10.1007/s11232-010-0011-9

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