Representation Theory of SO(4, 1) and E(3, 1): An Explicit Spinor Calculus
- 1 October 1969
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 10 (10) , 1888-1896
- https://doi.org/10.1063/1.1664776
Abstract
The explicit spinor basis states for the irreducible unitary representations of the spinor covering group of the de Sitter group SO(4, 1) are obtained by analytic continuation from those of the compact group Sp(4). Some features of the contraction of these basis states to those of the Poincaré group are discussed; the explicit asymptotic form of the basis state of a continuous representation of SO(4, 1) in the limit of the contraction to a basis state of a finite‐mass discrete‐spin representation of E(3, 1) is investigated.Keywords
This publication has 22 references indexed in Scilit:
- Representation Theory of SP(4) and SO(5)Journal of Mathematical Physics, 1969
- Master Analytic Representations and unified representation theory of certain orthogonal and pseudo-orthogonal groupsCommunications in Mathematical Physics, 1968
- Discrete Series for the Universal Covering Group of the 3 + 2 de Sitter GroupJournal of Mathematical Physics, 1967
- Electromagnetic mass corrections in the covariantSV 12 schemeIl Nuovo Cimento (1869-1876), 1965
- Mass formula in the covariant spin-unitary spin schemeIl Nuovo Cimento (1869-1876), 1965
- Covariant merging of spin and unitary spinPhysics Letters, 1965
- On the Contraction of Groups and Their RepresentationsProceedings of the National Academy of Sciences, 1953
- A Note on the Representations of the De Sitter GroupAnnals of Mathematics, 1950
- On Unitary Representations of the Group of De Sitter SpaceAnnals of Mathematics, 1941
- The Electron Wave Equation in De-Sitter SpaceAnnals of Mathematics, 1935