Infinite-Dimensional Representations of the Lorentz Group
- 1 June 1970
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (6), 1917-1918
- https://doi.org/10.1063/1.1665344
Abstract
The method used by Naimark to obtain symmetrical spinors and their transformation law from finite‐dimensional representations of the group SL(2, C) is extended to infinite‐dimensional representations. As an infinite‐dimensional representation, we use the principal series of representations realized by means of the special unitary group SU2. As a result another form of the principal series of representations of SL(2, C) is obtained which describes the transformation law of an infinite set of numbers under the group transformation in a way which is very similar, but as a generalization, to the way spinors appear in the finite‐dimensional case.Keywords
This publication has 3 references indexed in Scilit:
- Massless Particles and FieldsPhysical Review B, 1969
- Group-Theoretic Approach to the New Conserved Quantities in General RelativityJournal of Mathematical Physics, 1969
- A spinor approach to general relativityAnnals of Physics, 1960