Open AccessPHYSICAL 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) -
Jinquan Chen,
Fan Wang,
GAO MEI-JUAN
Publication year - 1978
Publication title -
wuli xuebao
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.