Symmetry Properties of the 3j Symbols for SU(3)

Abstract

For an arbitrary compact group it is in general not possible to choose the 3j symbol (j₁j₂j₃)r, m₁m₂m₃ such that its absolute value is invariant under every permutation of the j's and of the corresponding m's. Still, it is commonly assumed that for SU(3) such a choice is possible. In this paper it is shown that this assumption is indeed justified.