Abstract
We prove a theorem which states that in an (n+1)-dimensional space-time (n≧3) the only linear kinematical groups which are compatible with the isotropy of space are the Lorentz and Galilei groups. The special casesn=1 andn=2 are also briefly discussed.
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On leave of absence from Instituto di Fisica dell' Universitá, Milano, Italy. A. v. Humboldt fellow.
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Gorini, V. Linear kinematical groups. Commun.Math. Phys. 21, 150–163 (1971). https://doi.org/10.1007/BF01646749
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DOI: https://doi.org/10.1007/BF01646749