Geodesic
Decomposition of highest-weight representations of a semisimple Lie algebra into representations of regular subalgebras
Matematičeskie zametki, Tome 8 (1970) no. 6, pp. 703-710.

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A formula is derived for the decomposition of the highest-weight representation of a semisimple Lie algebra into irreducible representations of its regular subalgebra. In particular the case of finite-dimensional representations is investigated. 
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     author = {A. U. Klimyk},
     title = {Decomposition of highest-weight representations of a semisimple {Lie} algebra into representations of regular subalgebras},
     journal = {Matemati\v{c}eskie zametki},
     pages = {703--710},
     publisher = {mathdoc},
     volume = {8},
     number = {6},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_6_a2/}
}
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A. U. Klimyk. Decomposition of highest-weight representations of a semisimple Lie algebra into representations of regular subalgebras. Matematičeskie zametki, Tome 8 (1970) no. 6, pp. 703-710. http://geodesic.mathdoc.fr/item/MZM_1970_8_6_a2/