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Lie–Scheffers Systems

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Geometry from Dynamics, Classical and Quantum

Abstract

In 1893, Lie and Scheffers [Lie93] presented a result that has a deep implication regarding the notion of integrability that we are describing, but that has been almost unnoticed since then (for two modern general references see [Ca00, Ca07b] and [CL11]).

If only I knew how to get mathematicians interested in transformation groups and their applications to differential equations. I am certain, absolutely certain, that these theories will some time in the future be recognized as fundamental. When I wish such a recognition sooner, it is partly because then I could accomplish ten times more.

Sophus Lie, Letter to Adolf Mayer, 1884.

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Authors and Affiliations

  1. Departamento de Física Teórica, Universidad de Zaragoza, Zaragoza, Spain

    José F. Cariñena

  2. Departamento de Matemáticas, Universidad Carlos III de Madrid, Madrid, Spain

    Alberto Ibort

  3. Dipartimento di Fisiche, Universitá di Napoli “Federico II”, Napoli, Italy

    Giuseppe Marmo

  4. INFN Sezione di Bologna, Universitá di Bologna, Bologna, Italy

    Giuseppe Morandi

Authors
  1. José F. Cariñena
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  2. Alberto Ibort
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  3. Giuseppe Marmo
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  4. Giuseppe Morandi
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Corresponding author

Correspondence to José F. Cariñena .

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Cariñena, J.F., Ibort, A., Marmo, G., Morandi, G. (2015). Lie–Scheffers Systems. In: Geometry from Dynamics, Classical and Quantum. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-9220-2_9

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  • DOI: https://doi.org/10.1007/978-94-017-9220-2_9

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