Selection Rules and the Decomposition of the Kronecker Square of Irreducible Representations
- 1 December 1967
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 8 (12) , 2434-2440
- https://doi.org/10.1063/1.1705176
Abstract
The irreducible representations occurring in the decomposition of the Kronecker squares of irreducible representations of finite and continuous groups are shown to be readily separable into symmetric and antisymmetric parts using Littlewood's method of plethysm. Particular applications of the rotation and symplectic groups, together with selection rules for isoscalar factors, are given.Keywords
This publication has 10 references indexed in Scilit:
- A Class of Null Spectroscopic CoefficientsJournal of Mathematical Physics, 1967
- Complete classification of the states of nuclear configurationsj k forj=9/2Acta Physica Academiae Scientiarum Hungaricae, 1966
- Gruppentheoretische Untersuchungen zum SchalenmodellThe European Physical Journal A, 1960
- Collective motion in the nuclear shell model. I. Classification schemes for states of mixed configurationsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1958
- Products and Plethysms of Characters with Orthogonal, Symplectic and Symmetric GroupsCanadian Journal of Mathematics, 1958
- Studies in jj -coupling. I. Classification of nuclear and atomic statesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1952
- THE PLETHYSM OF S-FUNCTIONSThe Quarterly Journal of Mathematics, 1952
- On invariant theory under restricted groupsPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1944
- Invariant theory, tensors and group charactersPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1944
- Some Properties of S -FunctionsProceedings of the London Mathematical Society, 1936