Symmetry algebras of Lagrangian Liouville-type systems

A.V. Kiselev; J.W. van de Leur

doi:10.1007/s11232-010-0011-9

Symmetry algebras of Lagrangian Liouville-type systems

A.V. Kiselev
, J.W. van de Leur

Research output: Contribution to journal › Article › Academic › peer-review

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.

Original language	English
Pages (from-to)	149-162
Number of pages	14
Journal	Theoretical and Mathematical Physics
Volume	162
Issue number	2
DOIs	https://doi.org/10.1007/s11232-010-0011-9
Publication status	Published - 2010

Keywords

symmetry
two-dimensional Toda chain
Liouville-type system
Hamiltonian hierarchy
bracket

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10.1007/s11232-010-0011-9

KISELEVSymmetry-algebras-of-Lagrangian-Liouville-type-systems 2010
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KW - Hamiltonian hierarchy

KW - bracket

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JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

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Symmetry algebras of Lagrangian Liouville-type systems

Abstract

Keywords

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