The Classification of the Simple Modular
Lie Algebras: VI. Solving the Final Case
Author:
H. Strade
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
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: We investigate the structure of simple Lie algebras over an algebraically closed field of characteristic
. Let
denote a torus in the
-envelope of
in
of maximal dimension. We classify all
for which every 1-section with respect to every such torus
is solvable. This settles the remaining case of the classification of these algebras.
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Additional Information
H. Strade
Affiliation:
Mathematische Seminar Universität Hamburg, 20146 Hamburg, Germany
Email:
strade@math.uni-hamburg.de
DOI:
https://doi.org/10.1090/S0002-9947-98-01770-X
Received by editor(s):
July 2, 1995
Received by editor(s) in revised form:
December 10, 1995
Article copyright:
© Copyright 1998
American Mathematical Society