Geodesic
On the Construction of the Embedding D4 < F4 < E6 over Fields of Characteristic 2
Malik Alrwajfeh1 ; Mashhour Al-Ali Bani-Ata1
1Dept. of Mathematics, Faculty of Basic Education, Publ. Authority for Appl. Education, Ardiya, Kuwait
Journal of Lie Theory, Tome 35 (2025) no. 1, pp. 157-164

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

The purpose of this paper is to give an elementary and explicit construction of the embedding $D_4 \le F_4 \le E_6$, over a field $K$ of characteristic 2 and to show that the Chevalley group of type $D_4$ is isomorphic to $\Omega_8^{+}(K)$.
Classification : 17A75, 17A45
Mots-clés : Lie algebra, Lie group, root base, root element, Weyl group, generalized quadrangle, Siegel involution, Carter algebra and embedding algebras

Malik Alrwajfeh  1   ; Mashhour Al-Ali Bani-Ata  1

1 Dept. of Mathematics, Faculty of Basic Education, Publ. Authority for Appl. Education, Ardiya, Kuwait 
Malik Alrwajfeh; Mashhour Al-Ali Bani-Ata. On the Construction of the Embedding D4 < F4 < E6 over Fields of Characteristic 2. Journal of Lie Theory, Tome 35 (2025) no. 1, pp. 157-164. http://geodesic.mathdoc.fr/item/JOLT_2025_35_1_a7/
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     author = {Malik Alrwajfeh and Mashhour Al-Ali Bani-Ata},
     title = {On the {Construction} of the {Embedding} {D\protect\textsubscript{4}} &lt; {F\protect\textsubscript{4}} &lt; {E\protect\textsubscript{6}} over {Fields} of {Characteristic} 2},
     journal = {Journal of Lie Theory},
     pages = {157--164},
     year = {2025},
     volume = {35},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2025_35_1_a7/}
}
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