PHYSICAL METHODS OF GROUP REPRESENTATION THEORY (Ⅲ)——OUTER-PRODUCT REDUCTION COEFFICIENTS OF THE PERMUTATION GROUP AND CG COEFFICIENTS OF THE SUn GROUP

Abstract
This paper introduces an important coefficient-the outer-product reduction coef-ficient of the permutation group (Abbrev as ORC). Its properties and calculation method are discussed. An important relation between the ORC and the CG coeffi-cient of the SUn group is revealed which enables one to derive the latter from the former immediatelv.

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