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

Chen Jin-quan | Zendy; Fan Wang | Zendy; GAO MEI-JUAN | Zendy

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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

Author(s) -

Chen Jin-quan,

Fan Wang,

GAO MEI-JUAN

Publication year - 1978

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.27.31

Subject(s) - group (periodic table) , permutation group , reduction (mathematics) , product (mathematics) , permutation (music) , mathematics , symmetric group , combinatorics , pure mathematics , physics , geometry , quantum mechanics , acoustics

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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