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群表示论的物理方法(Ⅲ)——置换群外积约化系数和SUn群CG系数

物理学报, 1978, 27(1): 31-40.
DOI: 10.7498/aps.27.31
CSTR: 32037.14.aps.27.31

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

Acta Phys. Sin., 1978, 27(1): 31-40.
DOI: 10.7498/aps.27.31
CSTR: 32037.14.aps.27.31
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  • 摘要

    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SUn群CG系数间的重要关系式,给出了从ORC同时求出所有SUn群CG系数的方法。

     

    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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