Geodesic
Restrictions of irreducible representations of algebraic groups of type $A_n$ in characteristic $0$ to subgroups of type $A_1\times A_1$
Trudy Instituta matematiki, Tome 15 (2007) no. 1, pp. 56-67

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Restrictions of irreducible representations of algebraic groups of type $A_n$ in characteristic $0$ to naturally embedded subgroups of type $A_1\times A_1$ are studied. The composition factors of such restrictions are determined. For $n=3$ the multiplicities of these factors are found. 
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     title = {Restrictions of irreducible representations of algebraic groups of type $A_n$ in characteristic $0$ to subgroups of type $A_1\times A_1$},
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T. M. Zheleznaya. Restrictions of irreducible representations of algebraic groups of type $A_n$ in characteristic $0$ to subgroups of type $A_1\times A_1$. Trudy Instituta matematiki, Tome 15 (2007) no. 1, pp. 56-67. http://geodesic.mathdoc.fr/item/TIMB_2007_15_1_a6/