Abstract
It is proved without resort to “calculus methods” that every continuous group multiplier for R can be reduced to the identity by a continuous “remultiplication.” The method introduced may generalize to infinitedimensional Abelian groups such as occur in analyzing the projective representations of the Bondi-Metzner-Sachs (BMS) group.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bargmann, V. (1954).Annals of Mathematics,50, 1.
Jauch, J. M. (1968).Foundations of Quantum Mechanics, Sections 12.5 and 13.4, Addison-Wesley, Reading, Mass.
McCarthy, P. J. (1977). “Lifting of projective representations of the Bondi-MetznerSachs Group,”Proceedings of the Royal Society,A358, 141.
Weyl, H. (1950).The Theory of Groups and Quantum Mechanics, Chapter IV, Section D, Dover, New York.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sorkin, R. The triviality of continuous multipliers for the real line. Int J Theor Phys 17, 369–376 (1978). https://doi.org/10.1007/BF00674107
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00674107