Transactions of the American Mathematical Society

The Classification of the Simple Modular Lie Algebras: VI. Solving the Final Case

Author(s): H. Strade
Journal: Trans. Amer. Math. Soc. 350 (1998), 2553-2628.
MSC (1991): Primary 17B20
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Abstract: We investigate the structure of simple Lie algebras $L$

over an algebraically closed field of characteristic $p>7$

. Let

denote a torus in the $p$

-envelope of $L$

in $\operatorname{Der}L$ of maximal dimension. We classify all $L$

for which every 1-section with respect to every such torus $T$

is solvable. This settles the remaining case of the classification of these algebras.

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