References
E. P. Wigner:Ann. of Math.,40, 149 (1939).
I. M. Gelfand, R. A. Minlos andZ. Ya. Shapiro:Representations of the Rotation and Lorentz Groups and Their Applications (Oxford and New York, N. Y., 1963);M. A. Naimark:Linear Representations of the Lorentz Group (London, 1964). These are two standard references on this subject. It is not our intention to give a complete list of the relevant literature which would probably fill several dozens of pages.
R. Fricke andF. Klein:Vorlesungen über die Theorie der elliptischen Modulfunktionen, Vol.1 (Leipzig, 1890); Vol.2 (Leipzig, 1892).Vorlesungen über die Theorie der automorphen Funktionen, Vol.1 (Leipzig, 1897); Vol.2, part 1 (Leipzig, 1901); part 2 (Leipzig, 1912). These books have been reprinted by the Johnson Reprint Corporation (New York, N.Y., 1966).
L. R. Ford:Automorphic Functions (New York, N. Y., 1972).
J. Lehner:A Short Course in Automorphic Functions (New York, N. Y., 1966).
I. M. Gelfand, M. I. Graev andI. I. Pyatetskii-Shapiro:Representation Theory and Automorphic Functions (Philadelphia, Pa., 1966).
A four-vector has the components (x 1, x2, x3, x6). We use the metricx 21 +x 22 +x 23 −x 20 in agreement with the book byNAIMARK which is quoted under ref. (2).I. M. Gelfand, R. A. Minlos andZ. Ya. Shapiro:Representations of the Rotation and Lorentz Groups and Their Applications (Oxford and New York, N. Y., 1963);M. A. Naimark:Linear Representations of the Lorentz Group (London, 1964). These are two standard references on this subject. It is not our intention to give a complete list of the relevant literature which would probably fill several dozens of pages.
J. Neubüser, H. Wondratschek andR. Bülow:Acta Cryst., A27, 517, 520, 523 (1971).
E. Ascher andA. Janner:Helv. Phys. Acta,38, 551 (1965);Comm. Math. Phys.,11, 138 (1968).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Schwarz, F. On discrete subgroups of the Lorentz group. Lett. Nuovo Cimento 15, 7–14 (1976). https://doi.org/10.1007/BF02725370
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02725370