Geodesic
Branching rules for representations of~classical Lie groups
Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 1, pp. 3-12

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A recursion relation is proved for calculating the multiplicities of the irreducible components in the decomposition of representations of the classical Lie groups. A method of reduction of representations convenient for physical applications is proposed and illustrated by the example of the regular embedding $SU(n)\subset SO(2n)$. 
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     author = {V. D. Lyakhovsky and I. A. Filanovskii},
     title = {Branching rules for representations of~classical {Lie} groups},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
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     number = {1},
     year = {1990},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1990_84_1_a0/}
}
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V. D. Lyakhovsky; I. A. Filanovskii. Branching rules for representations of~classical Lie groups. Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 1, pp. 3-12. http://geodesic.mathdoc.fr/item/TMF_1990_84_1_a0/