Geodesic
On Construction of the Maximal Parabolic Subgroup P1 of E6(K) for Fields K of Characteristic Two
Journal of Lie theory, Tome 27 (2017) no. 4, pp. 1107-1118
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

The notion of M-sets has been introduced by the second author to give an elementary construction for the Lie algebras of type E6 and F4 and the Chevalley groups E6(K), F4(K), and 2E6(K) over fields K of characteristic two. The aim of this article is to use the notion of M-sets to give an elementary and self-contained construction of the maximal parabolic subgroup P1 of E6(K) using Levi components and unipotent radical root subgroups of E6(K).
Classification : 17B25, 17B54, 20G20
Mots-clés : Maximal parabolic, Levi component, unipotent radical, M-sets 
@article{JLT_2017_27_4_JLT_2017_27_4_a11,
     author = {A. Alazemi and M. Bani-Ata},
     title = {On {Construction} of the {Maximal} {Parabolic} {Subgroup} {P\protect\textsubscript{1}} of {E\protect\textsubscript{6}(K)} for {Fields} {K} of {Characteristic} {Two}},
     journal = {Journal of Lie theory},
     pages = {1107--1118},
     year = {2017},
     volume = {27},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JLT_2017_27_4_JLT_2017_27_4_a11/}
}
TY  - JOUR
AU  - A. Alazemi
AU  - M. Bani-Ata
TI  - On Construction of the Maximal Parabolic Subgroup P1 of E6(K) for Fields K of Characteristic Two
JO  - Journal of Lie theory
PY  - 2017
SP  - 1107
EP  - 1118
VL  - 27
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/JLT_2017_27_4_JLT_2017_27_4_a11/
ID  - JLT_2017_27_4_JLT_2017_27_4_a11
ER  - 
%0 Journal Article
%A A. Alazemi
%A M. Bani-Ata
%T On Construction of the Maximal Parabolic Subgroup P1 of E6(K) for Fields K of Characteristic Two
%J Journal of Lie theory
%D 2017
%P 1107-1118
%V 27
%N 4
%U http://geodesic.mathdoc.fr/item/JLT_2017_27_4_JLT_2017_27_4_a11/
%F JLT_2017_27_4_JLT_2017_27_4_a11
A. Alazemi; M. Bani-Ata. On Construction of the Maximal Parabolic Subgroup P1 of E6(K) for Fields K of Characteristic Two. Journal of Lie theory, Tome 27 (2017) no. 4, pp. 1107-1118. http://geodesic.mathdoc.fr/item/JLT_2017_27_4_JLT_2017_27_4_a11/