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利用对称性与Young图在多项式空间上构成了SUn群的不可约表示及积表示的完全基底,从而不但区分了非单纯权也区分了积表示的非简单可约性,并在此基础上用构成不变量法得到SU3群的Clebsch-Gordan系数的明显表达式Using the properties of the Young diagrams, we have constructed a complete set of polynomial bases for representing the SUn group. The basis of irreducible representations in the product space of two irreducible representations is then discussed. Finally by methods of construction of an invariant, an explicit expression for the Clebsch-Gordan coefficients of group SU3 is obtained.
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