Canonical solution of the state labelling problem for SU(n)⊃SO(n) and Littlewood's branching rule. I. General formulation
- 11 July 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (10), 2095-2104
- https://doi.org/10.1088/0305-4470/16/10/006
Abstract
The internal state labelling problem for the d-row irreducible representations of SU(n) (where 2d<or=n), when reduced with respect to SO(n), is shown to amount to the external state labelling problem for U(d). The canonical solution of the latter due to Biedenharn et al. (1967) provides a canonical solution of the former, which reflects the operation of Littlewood's branching rule for U(n) contains/implies O(n) in a very simple way.Keywords
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