The reduction of products of irreducible Cartesian tensors is formulated generally by means of 3-j tensors. These are special cases of the invariant mappings discussed in Part II [J. A. R. Coope and R. F. Snider, J. Math. Phys. 11, 993 (1970)]. The 3-j formalism is first developed for a general group. Then, the 3-j tensors and spinors for the rotation group are discussed in detail, general formulas in terms of elementary invariant tensors being given. The 6-j and higher n-j symbols coincide with the familiar ones. Interrelations between Cartesian and spherical tensor methods are emphasized throughout.
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J. A. R. Coope (1970) studied this question.
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