Journal of Lie Theory

no. 1
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, Volume 35 (2025) no. 1, pp. 157-164
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 $\Omega_8^{+}(K)$.
DOI: 10.5802/jolt.1377
Classification: 17A75, 17A45
Keywords: 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, Volume 35 (2025) no. 1, pp. 157-164. doi: 10.5802/jolt.1377
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     author = {Malik Alrwajfeh and Mashhour Al-Ali Bani-Ata},
     title = {On the {Construction} of the {Embedding} {D\protect\textsubscript{4}} < {F\protect\textsubscript{4}} < {E\protect\textsubscript{6}} over {Fields} of {Characteristic} 2},
     journal = {Journal of Lie Theory},
     pages = {157--164},
     year = {2025},
     volume = {35},
     number = {1},
     doi = {10.5802/jolt.1377},
     zbl = {1562.17021},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1377/}
}
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