Geodesic
Bruhat decomposition of semisimple root subgroups in the special linear group
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 8, Tome 160 (1987), pp. 239-246

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

It is proved that the root semisimple subgroups in the special linear group over a field intersects at most four cosets in the Bruhat decomposition and, moreover, most elements of the given subgroup lie in the same coset, with the remaining elements lying in distinct cosets. 
@article{ZNSL_1987_160_a22,
     author = {A. A. Semenov},
     title = {Bruhat decomposition of semisimple root subgroups in the special linear group},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {239--246},
     publisher = {mathdoc},
     volume = {160},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_160_a22/}
}
TY  - JOUR
AU  - A. A. Semenov
TI  - Bruhat decomposition of semisimple root subgroups in the special linear group
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1987
SP  - 239
EP  - 246
VL  - 160
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1987_160_a22/
LA  - ru
ID  - ZNSL_1987_160_a22
ER  - 
%0 Journal Article
%A A. A. Semenov
%T Bruhat decomposition of semisimple root subgroups in the special linear group
%J Zapiski Nauchnykh Seminarov POMI
%D 1987
%P 239-246
%V 160
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_1987_160_a22/
%G ru
%F ZNSL_1987_160_a22
A. A. Semenov. Bruhat decomposition of semisimple root subgroups in the special linear group. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 8, Tome 160 (1987), pp. 239-246. http://geodesic.mathdoc.fr/item/ZNSL_1987_160_a22/