The restrictions of representations of special linear groups to subsystem subgroups of type $A_1\times A_1$
Trudy Instituta matematiki, Tome 29 (2021) no. 1, pp. 176-188

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The restrictions of irreducible representations of the special linear group over an algebraically closed field of positive characteristic $p$ to subsystem subgroups of type $A_1\times A_1$ are studied. The symmetry of the set of highest weights of composition factors is proven. The "big" composition factors of such restrictions for the arbitrary $p$-restricted representations are found. These results will be used for the complete description of such restrictions.
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A. A. Osinovskaya. The restrictions of representations of special linear groups to subsystem subgroups of type $A_1\times A_1$. Trudy Instituta matematiki, Tome 29 (2021) no. 1, pp. 176-188. http://geodesic.mathdoc.fr/item/TIMB_2021_29_1_a15/