The construction of the maximal 𝐴₁’s in the exceptional algebraic groups

Testerman, Donna M.

doi:10.1090/S0002-9939-1992-1100666-2

The construction of the maximal $A_ 1$’s in the exceptional algebraic groups
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by Donna M. Testerman

Proc. Amer. Math. Soc. 116 (1992), 635-644

DOI: https://doi.org/10.1090/S0002-9939-1992-1100666-2

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Abstract:

Let $G$ be a simply connected simple algebraic group of exceptional type defined over an algebraically closed field of characteristic $p > 3,3,5,7,7$, for $G$ of type ${G_2},\;{F_4},\;{E_6},\;{E_7},\;{E_8}$, respectively. We construct the maximal closed connected subgroups of $G$, that are simple of type ${A_1}$. This completes Seitz’s classification (under the indicated prime restrictions) of the maximal closed connected subgroups of $G$.

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