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Zapiski Nauchnykh Seminarov POMI, 2023, Volume 522, Pages 113–124 (Mi znsl7339)  
Composition factors of the restrictions of modular representations of $SL_{r+1}(K)$ to semisimple subgroups

A. A. Osinovskaya

Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk
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Abstract: 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.
Key words and phrases: special linear groups, representations, restrictions to subgroups, branching rules, composition factors.
Funding agency Grant number
ГПНИ "Конвергенция-2025" 1.1.01
Received: 11.03.2023
Document Type: Article
UDC: 512.743.7
Language: Russian
Citation: A. A. Osinovskaya, “Composition factors of the restrictions of modular representations of $SL_{r+1}(K)$ to semisimple subgroups”, Problems in the theory of representations of algebras and groups. Part 39, Zap. Nauchn. Sem. POMI, 522, POMI, St. Petersburg, 2023, 113–124
Citation in format AMSBIB
\Bibitem{Osi23}
\by A.~A.~Osinovskaya
\paper Composition factors of the restrictions of modular representations of $SL_{r+1}(K)$ to semisimple subgroups
\inbook Problems in the theory of representations of algebras and groups. Part~39
\serial Zap. Nauchn. Sem. POMI
\yr 2023
\vol 522
\pages 113--124
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7339}
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