Geodesic
Composition factors of the restrictions of modular representations of $SL_{r+1}(K)$ to semisimple subgroups
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 39, Tome 522 (2023), pp. 113-124

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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. Under some minor restrictions on a group rank, the composition factors for such restrictions are described. 
@article{ZNSL_2023_522_a6,
     author = {A. A. Osinovskaya},
     title = {Composition factors of the restrictions of modular representations of $SL_{r+1}(K)$ to semisimple subgroups},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {113--124},
     publisher = {mathdoc},
     volume = {522},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2023_522_a6/}
}
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A. A. Osinovskaya. Composition factors of the restrictions of modular representations of $SL_{r+1}(K)$ to semisimple subgroups. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 39, Tome 522 (2023), pp. 113-124. http://geodesic.mathdoc.fr/item/ZNSL_2023_522_a6/