Regular unipotent elements from naturally embedded subgroups of rank~2 in modular representations of classical groups
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 17, Tome 356 (2008), pp. 159-178
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We study images of regular unipotent elements from naturally embedded subgroups of type $A_2$ and $B_2$ in irreducible modular representations of classical groups. For the images of such elements and representations with locally small highest weights one encounters Jordan block of all sizes of the same parity. Bibl. – 17 titles.
@article{ZNSL_2008_356_a5,
author = {A. A. Osinovskaya},
title = {Regular unipotent elements from naturally embedded subgroups of rank~2 in modular representations of classical groups},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {159--178},
publisher = {mathdoc},
volume = {356},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_356_a5/}
}
TY - JOUR AU - A. A. Osinovskaya TI - Regular unipotent elements from naturally embedded subgroups of rank~2 in modular representations of classical groups JO - Zapiski Nauchnykh Seminarov POMI PY - 2008 SP - 159 EP - 178 VL - 356 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2008_356_a5/ LA - ru ID - ZNSL_2008_356_a5 ER -
%0 Journal Article %A A. A. Osinovskaya %T Regular unipotent elements from naturally embedded subgroups of rank~2 in modular representations of classical groups %J Zapiski Nauchnykh Seminarov POMI %D 2008 %P 159-178 %V 356 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2008_356_a5/ %G ru %F ZNSL_2008_356_a5
A. A. Osinovskaya. Regular unipotent elements from naturally embedded subgroups of rank~2 in modular representations of classical groups. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 17, Tome 356 (2008), pp. 159-178. http://geodesic.mathdoc.fr/item/ZNSL_2008_356_a5/