On the Representations of the Semisimple Lie Groups. IV. A Canonical Classification for Tensor Operators in SU3

Abstract

It is shown that the multiplicity structure of the general SUn operators may be put in a one-to-one correspondence with the multiplicity structure of the corresponding states. This result allows a convenient labeling scheme to be devised for the general SUn Wigner operator and leads in a natural way to the concept of a reduced Wigner operator. The problem of multiplicity in tensor operators is shown to have a canonical resolution in the conjugation classification which is discussed in detail for the SU3 case.