Abstract
The fact that the groupSU2 can be embedded inSU3 in different ways is exploited to derive an identity for theSU3 Wigner coefficient. When the Wigner coefficient is factored into anSU2 scalar and anSU2 Wigner coefficient, the identity relates to theSU2 Wigner coefficient. One of the Regge identities for theSU2 Wigner coefficient is shown to be a special case and a slightly more complicated example of the identity is worked out. The transformation matrix fromT toR spin eigenstates of an arbitrary irreducibleSU3 representation is evaluated.
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