群表示论的物理方法(Ⅲ) 置换群外积约化系数和SU_n群CG系数

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

本文引进一个重要系数——置换群外积约化系数(ORC),讨论了它的性质和求法。导出了ORC和SU_n群CG系数间的重要关系式,给出了从ORC同时求出所有SU_n群CG系数的方法。

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.