The classification of the simple modular Lie algebras: VI. Solving the final case
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Abstract:
We investigate the structure of simple Lie algebras $L$ over an algebraically closed field of characteristic $p>7$. Let $T$ 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.References
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Additional Information
- H. Strade
- Affiliation: Mathematische Seminar Universität Hamburg, 20146 Hamburg, Germany
- Email: strade@math.uni-hamburg.de
- Received by editor(s): July 2, 1995
- Received by editor(s) in revised form: December 10, 1995
- © Copyright 1998 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 350 (1998), 2553-2628
- MSC (1991): Primary 17B20
- DOI: https://doi.org/10.1090/S0002-9947-98-01770-X
- MathSciNet review: 1390047