Geodesic
On Construction of the Maximal Parabolic Subgroup P1 of E6(K) for Fields K of Characteristic Two
Abdullah Alazemi1 ; Mashhour Bani-Ata2
1Dept. of Mathematics, Faculty of Science, Kuwait University, Khalediya, Kuwait
2Dept. of Mathematics, Faculty of Science, PAAET, Ardiya, Kuwait
Journal of Lie Theory, Tome 27 (2017) no. 4, pp. 1107-1118

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Abdullah Alazemi  1   ; Mashhour Bani-Ata  2

1 Dept. of Mathematics, Faculty of Science, Kuwait University, Khalediya, Kuwait
2 Dept. of Mathematics, Faculty of Science, PAAET, Ardiya, Kuwait 
Abdullah Alazemi; Mashhour 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/JOLT_2017_27_4_a11/
@article{JOLT_2017_27_4_a11,
     author = {Abdullah Alazemi and Mashhour 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/JOLT_2017_27_4_a11/}
}
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