For the convenience to evaluate the Clebsh-Gordan coefficients, we derive the new general expressions starting from Cartan's theory of spinor representation, and give several special formulas, in particular, algebraic tables for j′= 7/2 ∼5. Besides, we add the numerical tables for j′= 1/2 ∼6 and j = 5. 11/2, 6.
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Taro Shimpuku (1960) studied this question.