On non-compact groups. II. Representations of the 2+1 Lorentz group
- 28 September 1965
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 287 (1411) , 532-548
- https://doi.org/10.1098/rspa.1965.0195
Abstract
A simple algebraic method based on multispinors with a complex number of indices is used to obtain the linear (and unitary) representations of non-compact groups. The method is illustrated in the case of the 2 + 1 Lorentz group. All linear representations of this group, their various realizations in Hilbert space as well as the matrix elements of finite transformations have been found. The problem of reduction of the direct product is also briefly discussed.Keywords
This publication has 2 references indexed in Scilit:
- Elementary Particles in a Curved SpaceReviews of Modern Physics, 1965
- Irreducible Unitary Representations of the Lorentz GroupAnnals of Mathematics, 1947