Clebsch-Gordan Coefficients for the Coupling of SL(2, C) Principal-Series Representations
- 1 March 1970
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (3) , 1050-1058
- https://doi.org/10.1063/1.1665196
Abstract
An explicit expression is obtained for the Clebsch-Gordan coefficients which appear in the specification of a basis corresponding to the decomposition of the tensor product of two arbitrary SL(2, C) principal-series representations. Special cases of physical interest are treated in detail.Keywords
This publication has 10 references indexed in Scilit:
- Poincaré and Lorentz invariant expansions of relative amplitudesPhysics Letters B, 1968
- Clebsch-Gordan coefficients for SL(n, C)Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1967
- Harmonic analysis in terms of the homogeneous Lorentz groupPhysics Letters B, 1967
- Four-Dimensional SymmetryPhysical Review B, 1967
- Decomposition of the Unitary Irreducible Representations of the Group SL(2C) Restricted to the Subgroup SU(1, 1)Journal of Mathematical Physics, 1967
- Infinite Multiplets and Local FieldsPhysical Review B, 1967
- Strong Vertex According toPhysical Review B, 1966
- Unitary representations and relativistic coupling coefficients forSL 2,cIl Nuovo Cimento A (1971-1996), 1966
- Decomposition of a tensor product of irreducible representations of the proper Lorentz group into irreducible representations. Part IAmerican Mathematical Society Translations: Series 2, 1964
- Induced Representations of Locally Compact Groups IAnnals of Mathematics, 1952