Irreducible Representations of the Five-Dimensional Rotation Group. I
- 1 August 1968
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 9 (8) , 1224-1230
- https://doi.org/10.1063/1.1664703
Abstract
Explicit matrix elements are found for the generators of the group R(5) in an arbitrary irreducible representation using the ``natural basis'' in which the representation of R(5) is fully reduced with respect to the subgroup R(4)=SU(2)⊗SU(2). The technique used is based on the well-known Racah algebra. The dimension formula is derived and the invariants are found. A family of identities is established which relates various polynomials of degree four in the generators and which holds in any representation of the group.Keywords
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- Irreducible representations of the ‘unitary symmetry’ groupProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1963