The theory of angular momenta and higher SU(n) symmetries
- 21 October 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (15) , 5061-5069
- https://doi.org/10.1088/0305-4470/20/15/022
Abstract
The authors discuss interrelations between generating invariants (GI) for the reduction Pi mi=1 D(Pi) to D(On-1) of the m-fold tensor product of SU(n) irreducible representations (irreps) D(Pi) and polynominal bases of the SU(m) irreps D(On-1J, Om-n-1), Ok=0, 0,. . .0 (k times). A realisation of the SU(m) irrep D(OJ,Om-3) bases is given in terms of GI for SU(2) coupling (Wigner) coefficients. As a byproduct an expression is obtained for SU(2) 6-j symbols in terms of only two Wigner coefficients. The authors also discuss some possibilities of the analysis involved in solving the Wigner-Biedenharn problem (construction of orthonormal sets of the Wigner coefficients) for SU(n) groups (n>or=3).Keywords
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