|
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
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.
Received: 11.03.2023
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
Linking options:
https://www.mathnet.ru/eng/znsl7339 https://www.mathnet.ru/eng/znsl/v522/p113
|
Statistics & downloads: |
Abstract page: | 51 | Full-text PDF : | 25 | References: | 20 |
|