Unitary Representations of the Group O(2, 1) in an O(1, 1) Basis
- 1 November 1967
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 8 (11), 2210-2220
- https://doi.org/10.1063/1.1705143
Abstract
We consider the unitary irreducible representations of the group SO(2, 1), belonging to the continuous and the discrete classes. We cast them into a form in which the noncompact generator of an O(1, 1) subgroup is diagonal. We examine some properties of the remaining generators in this basis. We recover the known result that the spectrum of the noncompact generator covers the real line twice for representations of the continuous class, and once for those of the discrete class.This publication has 6 references indexed in Scilit:
- Complex angular momenta and the groups SU(1, 1) and SU(2)Annals of Physics, 1966
- Characteristic Noninvariance Groups of Dynamical SystemsPhysical Review Letters, 1965
- Lie Group of the Strong-Coupling TheoryPhysical Review Letters, 1965
- Series of hadron energy levels as representations of non-compact groupsPhysics Letters, 1965
- Dynamical Symmetry Group Based on Dirac Equation and Its Generalization to Elementary ParticlesPhysical Review B, 1964
- Irreducible Unitary Representations of the Lorentz GroupAnnals of Mathematics, 1947