Spacelike representations of the inhomogeneous Lorentz group in a Lorentz basis
- 1 April 1974
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 15 (4) , 477-490
- https://doi.org/10.1063/1.1666671
Abstract
The problem of introducing a Lorentz basis in a spacelike representation of the inhomogeneous Lorentz group in the spinless case, is solved by the methods of integral geometry. A new description of the representation associated with isotropic lines, which is peculiar to the spacelike case, is also given.Keywords
This publication has 9 references indexed in Scilit:
- Lorentz Basis of the Poincaré Group. IIJournal of Mathematical Physics, 1971
- Expansion of Lie Groups and Representations of SL(3, C)Journal of Mathematical Physics, 1969
- ``Lorentz Basis'' of the Poincaré GroupJournal of Mathematical Physics, 1968
- Zero-Mass Representations of the Poincaré Group in an O(3, 1) BasisJournal of Mathematical Physics, 1968
- Unitary Representations of the Homogeneous Lorentz Group in an O(2, 1) BasisJournal of Mathematical Physics, 1968
- Some Observations on Enveloping Algebras of Noncompact GroupsJournal of Mathematical Physics, 1966
- Strong Coupling of Pseudoscalar-Meson OctetPhysical Review Letters, 1966
- An extension theorem for inhomogeneous rotation groupsIl Nuovo Cimento (1869-1876), 1965
- On Unitary Representations of the Inhomogeneous Lorentz GroupAnnals of Mathematics, 1939