PHYSICAL METHODS OF GROUP REPRESENTATION THEORY (Ⅲ)——OUTER-PRODUCT REDUCTION COEFFICIENTS OF THE PERMUTATION GROUP AND CG COEFFICIENTS OF THE SU<sub>n</sub> 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.