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Galilei-Newton law by symplectic realizations

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Abstract

We classify all the coadjoint orbits of the central extension Ĝ of the one spatial dimensional Galilei group G. Taking them in support of the generic symplectic realizations of the Galilei group G, we give their possible physical interpretations and also find that mass and force have their origins in the cohomological theory of the Galilei group.

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Authors and Affiliations

  1. Departement de Mathématiques, Université du Burundi, B.P. 2700, Bujumbura, Burundi

    Joachim Nzotungicimpaye

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  1. Joachim Nzotungicimpaye
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Additional information

This has been presented as a seminar in Trieste (ICTP) during the workshop on Lie groups and their representations (10–20 November 1986).

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Nzotungicimpaye, J. Galilei-Newton law by symplectic realizations. Letters in Mathematical Physics 15, 101–110 (1988). https://doi.org/10.1007/BF00397830

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  • DOI: https://doi.org/10.1007/BF00397830

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