Matrices of Finite Lorentz Transformations in a Noncompact Basis. I. Discrete Series of O(2, 1)
- 1 November 1969
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 10 (11) , 2086-2092
- https://doi.org/10.1063/1.1664805
Abstract
We consider the problem of obtaining the matrices that represent finite group elements in unitary irreducible representations of the group O(2, 1), in a basis in which the ``noncompact'' generator of an O(1, 1) subgroup is diagonal. The discrete series of representations is treated and expressions obtained for the matrix elements of group elements belonging both to the O(2) subgroup and the other O(1, 1) subgroup.Keywords
This publication has 7 references indexed in Scilit:
- Master Analytic Representation: Reduction of O(2, 1) in an O(1, 1) BasisJournal of Mathematical Physics, 1968
- Matrix elements of representations of non-compact groups in a continuous basisCommunications in Mathematical Physics, 1968
- Unitary Representations of the Lorentz Groups: Reduction of the Supplementary Series under a Noncompact SubgroupJournal of Mathematical Physics, 1968
- Unitary Representations of the Group O(2, 1) in an O(1, 1) BasisJournal of Mathematical Physics, 1967
- Relativistically Invariant Solutions of Current Algebras at Infinite MomentumPhysical Review Letters, 1967
- Complex angular momenta and the groups SU(1, 1) and SU(2)Annals of Physics, 1966
- Irreducible Unitary Representations of the Lorentz GroupAnnals of Mathematics, 1947