Geodesic
Symmetry algebras of Lagrangian Liouville-type systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 162 (2010) no. 2, pp. 179-195

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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, Hamiltonian hierarchy, bracket.
Mots-clés : Liouville-type system 
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     author = {A. V. Kiselev and J. W. van de Leur},
     title = {Symmetry algebras of {Lagrangian} {Liouville-type} systems},
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     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2010_162_2_a1/}
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A. V. Kiselev; J. W. van de Leur. Symmetry algebras of Lagrangian Liouville-type systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 162 (2010) no. 2, pp. 179-195. http://geodesic.mathdoc.fr/item/TMF_2010_162_2_a1/