Branching Rules for U(n)⊃SO(n)
- 1 April 1970
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (4), 1471-1473
- https://doi.org/10.1063/1.1665281
Abstract
Using Littlewood's theorem, we derive branching rules for the restriction of U(n) to the special orthogonal group SO(n), for the case of a 3‐row Young diagram. The special cases n = 4, 5 are treated by use of Murnaghan's modification rules.Keywords
This publication has 9 references indexed in Scilit:
- The Representations of U(4)⊃U(2)⊗U(2)Journal of Mathematical Physics, 1970
- General Approach to Fractional Parentage CoefficientsJournal of Mathematical Physics, 1969
- Five-dimensional quasi-spin the n, T dependence of shell-model matrix elements in the seniority schemeNuclear Physics A, 1967
- Group theory of harmonic oscillators (III). States with permutational symmetryNuclear Physics, 1966
- Branching Rules for Simple Lie GroupsJournal of Mathematical Physics, 1965
- Five-Dimensional Quasispin. Exact Solutions of a Pairing Hamiltonian in theSchemePhysical Review B, 1965
- 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
- On the Decomposition of Tensors by ContractionReviews of Modern Physics, 1949
- On the Consequences of the Symmetry of the Nuclear Hamiltonian on the Spectroscopy of NucleiPhysical Review B, 1937