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Mackey’s theory and the true representations of the Galilei group

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Abstract

Mackey’s theory of induced representations is used to construct the true irreducible representations of the universal covering group of the Galilei group. The invariant subgroup used in the present work is generated by the space translations and the accelerations. This treatment gives a deeper insight into the structure of the problem and is a useful footnote to the work of E. Inönü and E. P. Wigner and also to the work of A. S. Wightman. In the Appendix, we summarize the results obtained in applying Mackey’s theory to the projective representations and the reduction of their products.

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Authors and Affiliations

  1. Department of Physics, Syracuse University, Syracuse, New York

    J. Voisin

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  1. J. Voisin
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Communicated by Prof. E. C. G. Sudarshan,f.a.sc.

Work supported by the U.S. Atomic Energy Commission.

‡ Aspirant du Fonds National de la Recherche Scientifique (Belgium), on leave from the University of Liège (Belgium).

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Voisin, J. Mackey’s theory and the true representations of the Galilei group. Proc. Indian Acad. Sci. 63, 39–52 (1966). https://doi.org/10.1007/BF03049521

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