Rotation and Lorentz Groups in a Finite Geometry
- 1 July 1968
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 9 (7) , 1027-1035
- https://doi.org/10.1063/1.1664670
Abstract
The introduction in physics of a finite geometry approximating the ordinary Euclidean one poses the problem of studying the relativity groups over such a geometry. We present a detailed analysis of the structure and irreducible representations of the rotation, Lorentz, and Poincaré groups. It is found that, besides the usual quantum numbers, a new two-valued label is necessary to specify the representations.Keywords
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