The SO(3)⊂SU(3) problem from a holomorphic induction point of view
- 21 June 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (9) , 1855-1867
- https://doi.org/10.1088/0305-4470/16/9/011
Abstract
A map carrying irreducible representations of SO(3) into an irreducible representation space of SU(3) is given. This map is used to construct orthogonal polynomials of SU(3) in an SO(3) basis. Two procedures are discussed for dealing with multiplicity, one canonical, the other not. It is shown how to construct matrix elements of SU(3) representations in an SO(3) basis.Keywords
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