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The group of automorphisms of the galilei group

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Abstract

The group of automorphisms of the Galilei groupG: Aut(G) is calculated. It is shown that Aut(G) has the structure of a semi-direct product byG of the group ℝ *m ×ℝm where ℝm is the group of reals noted multiplicatively and ℝ *m <ℝm is the subgroup of positive reals.

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References

  • Lévy-Leblond, J. M. (1971). Review Article on the Galilei Group.Group Theory and its Applications, Vol. II (Ed. Loebl). Academic Press.

  • Michel, L. (1966). An article in the lecture notes of the Brandeis Summer School 1965.Axiomatic Field Theory (Ed. M. Cretien and S. Dreser). Gordon and Breach.

  • Michel, L. (1967). ‘Symmetries Internes et Invariance Relativiste.’ An article in the lecture notes of the Summer School 1965.Applications of Mathematics to Problems in Theoretical Physics (Ed. E. Lurçat). Gordon and Breach.

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Marmo, G., Whiston, G.S. The group of automorphisms of the galilei group. Int J Theor Phys 6, 293–299 (1972). https://doi.org/10.1007/BF00672665

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  • DOI: https://doi.org/10.1007/BF00672665

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