Labeling and Multiplicity Problem in the Reduction U(n + m) ↓ U(n) × U(m)
- 1 September 1970
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (9) , 2803-2806
- https://doi.org/10.1063/1.1665450
Abstract
A labeling for the basis vectors in a general unitary irreducible representation of U(n + m) is introduced with the Casimir operators of the subgroup U(n) × U(m) diagonal. The multiplicities are calculated in the reduction U(n + m) ↓ U(n) × U(m) for some special cases.Keywords
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