Journal of Lie Theory

no. 4
On Construction of the Maximal Parabolic Subgroup P1 of E6(K) for Fields K of Characteristic Two
Journal of Lie Theory, Volume 27 (2017) no. 4, pp. 1107-1118
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).
DOI: 10.5802/jolt.985
Classification: 17B25, 17B54, 20G20
Keywords: Maximal parabolic, Levi component, unipotent radical, M-sets 
@article{JOLT_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},
     doi = {10.5802/jolt.985},
     zbl = {1430.17037},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.985/}
}
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%A M. Bani-Ata
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%J Journal of Lie Theory
%D 2017
%P 1107-1118
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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, Volume 27 (2017) no. 4, pp. 1107-1118. doi: 10.5802/jolt.985

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