Geodesic
The block structure of the images of regular unipotent elements from~subsystem symplectic subgroups of rank $2$ in irreducible representations of symplectic groups.~I
Matematičeskie trudy, Tome 22 (2019) no. 1, pp. 68-100

Voir la notice de l'article provenant de la source Math-Net.Ru

The dimensions of the Jordan blocks in the images of regular unipotent elements from subsystem subgroups of type $C_2$ in $p$-restricted irreducible representations of groups of type $C_n$ in characteristic $p\geq 11$ with locally small highest weights are found. These results can be applied for investigating the behavior of unipotent elements in modular representations of simple algebraic groups and recognizing representations and linear groups. The article consists of 3 parts. In the first one, preliminary lemmas that are necessary for proving the principal results, are contained and the case where all weights of the restriction of a representation considered to a subgroup of type $A_1$ containing a relevant unipotent element are less than $p$, is investigated. 
@article{MT_2019_22_1_a2,
     author = {T. S. Busel and I. D. Suprunenko},
     title = {The block structure of the images of regular unipotent elements from~subsystem symplectic subgroups of rank $2$ in irreducible representations of symplectic {groups.~I}},
     journal = {Matemati\v{c}eskie trudy},
     pages = {68--100},
     publisher = {mathdoc},
     volume = {22},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2019_22_1_a2/}
}
TY  - JOUR
AU  - T. S. Busel
AU  - I. D. Suprunenko
TI  - The block structure of the images of regular unipotent elements from~subsystem symplectic subgroups of rank $2$ in irreducible representations of symplectic groups.~I
JO  - Matematičeskie trudy
PY  - 2019
SP  - 68
EP  - 100
VL  - 22
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MT_2019_22_1_a2/
LA  - ru
ID  - MT_2019_22_1_a2
ER  - 
%0 Journal Article
%A T. S. Busel
%A I. D. Suprunenko
%T The block structure of the images of regular unipotent elements from~subsystem symplectic subgroups of rank $2$ in irreducible representations of symplectic groups.~I
%J Matematičeskie trudy
%D 2019
%P 68-100
%V 22
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MT_2019_22_1_a2/
%G ru
%F MT_2019_22_1_a2
T. S. Busel; I. D. Suprunenko. The block structure of the images of regular unipotent elements from~subsystem symplectic subgroups of rank $2$ in irreducible representations of symplectic groups.~I. Matematičeskie trudy, Tome 22 (2019) no. 1, pp. 68-100. http://geodesic.mathdoc.fr/item/MT_2019_22_1_a2/