Canonical solution of the state labelling problem for SU(n)\(\supset SO(n)\) and Littlewood’s branching rule. III: SU(3)\(\supset SO(3)\) case. (English) Zbl 0577.22019
[For parts I, II, see the preceding reviews.]
Explicit expressions of the basis states of irreducible representations of SO(3) obtained in a given irreducible representation of SU(3) are derived in the framework of an approach to the state labelling problem for SU(n)\(\supset SO(n)\) developed by the author and J. Deenen (1983). The relation of the proposed basis to the known ones is discussed.
Explicit expressions of the basis states of irreducible representations of SO(3) obtained in a given irreducible representation of SU(3) are derived in the framework of an approach to the state labelling problem for SU(n)\(\supset SO(n)\) developed by the author and J. Deenen (1983). The relation of the proposed basis to the known ones is discussed.
Reviewer: A.Boguš
MSC:
| 22E70 | Applications of Lie groups to the sciences; explicit representations |
| 81R10 | Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations |
| 22E45 | Representations of Lie and linear algebraic groups over real fields: analytic methods |
