Matrices of finite Lorentz transformations in a noncompact basis. III. Completeness relation for O(2, 1)
- 1 December 1973
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 14 (12) , 2005-2010
- https://doi.org/10.1063/1.1666282
Abstract
A parametrization of the elements of the three‐dimensional Lorentz group O(2, 1), suited to the use of a noncompact O(1, 1) basis in its unitary representations, is derived and used to set up the representation matrices for the entire group. The Plancherel formula for O(2, 1) is then expressed in this basis.Keywords
This publication has 5 references indexed in Scilit:
- Matrices of Finite Lorentz Transformations in a Noncompact Basis. II. Continuous Series of O(2, 1)Journal of Mathematical Physics, 1969
- Matrices of Finite Lorentz Transformations in a Noncompact Basis. I. Discrete Series of O(2, 1)Journal of Mathematical Physics, 1969
- Matrix elements of representations of non-compact groups in a continuous basisCommunications in Mathematical Physics, 1968
- Unitary Representations of the Group O(2, 1) in an O(1, 1) BasisJournal of Mathematical Physics, 1967
- Irreducible Unitary Representations of the Lorentz GroupAnnals of Mathematics, 1947