Journal of Lie Theory 35 (2025), No. 1, 157--164
Copyright Heldermann Verlag 2025
On the Construction of the Embedding D4 < F4 < E6 over Fields of Characteristic 2
Malik Alrwajfeh
Dept. of Mathematics, Faculty of Basic Education, Publ. Authority for Appl. Education, Ardiya, Kuwait
malik_alrwajfeh@yahoo.com
Mashhour Al-Ali Bani-Ata
Dept. of Mathematics, Faculty of Basic Education, Publ. Authority for Appl. Education, Ardiya, Kuwait
mashhour_ibrahim@yahoo.com
[Abstract-pdf]
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 $\Omega_8^{+}(K)$.
Keywords: Lie algebra, Lie group, root base, root element, Weyl group, generalized quadrangle, Siegel involution, Carter algebra and embedding algebras.
MSC: 17A75, 17A45.
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