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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 162, Number 2, Pages 179–195
DOI: https://doi.org/10.4213/tmf6463 (Mi tmf6463) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Symmetry algebras of Lagrangian Liouville-type systems

A. V. Kiselev, J. W. van de Leur

Mathematical Institute, University of Utrecht, Utrecht, The Netherlands
Full-text PDF (647 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf6463
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.
Received: 26.02.2009
Revised: 18.05.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 162, Issue 2, Pages 149–162
DOI: https://doi.org/10.1007/s11232-010-0011-9
Bibliographic databases:
Language: Russian
Citation: A. V. Kiselev, J. W. van de Leur, “Symmetry algebras of Lagrangian Liouville-type systems”, TMF, 162:2 (2010), 179–195; Theoret. and Math. Phys., 162:2 (2010), 149–162
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v162/i2/p179
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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