Special factors in restrictions of irreducible modules of special linear and symplectic groups to subsystem subgroups with two simple components
https://doi.org/10.29235/1561-8323-2023-67-2-95-100
Abstract
The restrictions of irreducible modules of special linear and symplectic groups in an odd characteristic p with p-large highest weights to a subsystem subgroup H of maximal rank with two simple components H1 and H2 are considered. The lower estimate for the number of composition factors for such restrictions, which are p-large for the subgroup H1 and are not too small for H2, is found. The lower estimates of the number of Jordan blocks of maximal size for the images of certain unipotent elements in the corresponding representations of such groups are determined.
About the Authors
I. D. Suprunenko
Институт математики Национальной академии наук Беларуси
Belarus
Belarus
Suprunenko Irina D. – D. Sc. (Physics and Mathematics).
T. S. Busel
Institute of Mathematics of the National Academy of Sciences of Belarus
Belarus
Belarus
Busel Tatsiana S. – Ph. D. (Physics and Mathematics),
Researcher
11, Surganov Str., 220072, Minsk
A. A. Osinovskaya
Institute of Mathematics of the National Academy of Sciences of Belarus
Belarus
Belarus
Osinovskaya Anna A. – Ph. D. (Physics and Mathematics),
Researcher
11, Surganov Str., 220072, Minsk
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