Geodesic
Coefficients of vector addition of class~II representations of $SU(n)$
Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 3, pp. 367-373

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The tree method is used to obtain a formula for the coefficients of vector addition of class II representations of $SU(n)$. It is shown that the coefficients of vector addition of $SU(n)$ are determined by the Clebsch–Gordan coefficients of $SU(2)$ and the hypergeometric functions $_3F_2$ of unit argument. 
@article{TMF_1974_18_3_a7,
     author = {G. I. Kuznetsov},
     title = {Coefficients of vector addition of {class~II} representations of $SU(n)$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {367--373},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_18_3_a7/}
}
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G. I. Kuznetsov. Coefficients of vector addition of class~II representations of $SU(n)$. Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 3, pp. 367-373. http://geodesic.mathdoc.fr/item/TMF_1974_18_3_a7/