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.
@article{TIMB_2021_29_1_a15,
author = {A. A. Osinovskaya},
title = {The restrictions of representations of special linear groups to subsystem subgroups of type $A_1\times A_1$},
journal = {Trudy Instituta matematiki},
pages = {176--188},
publisher = {mathdoc},
volume = {29},
number = {1},
year = {2021},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TIMB_2021_29_1_a15/}
}
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%0 Journal Article %A A. A. Osinovskaya %T The restrictions of representations of special linear groups to subsystem subgroups of type $A_1\times A_1$ %J Trudy Instituta matematiki %D 2021 %P 176-188 %V 29 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMB_2021_29_1_a15/ %G en %F TIMB_2021_29_1_a15
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/