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Solvable Subgroups and their Lie Algebras in Characteristic p
Published online by Cambridge University Press: 20 November 2018
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1. Introduction. Throughout this paper, G is a connected linear algebraic group over an algebraically closed field whose characteristic is denoted p. For any closed subgroup H of G, 
denotes the Lie algebra of H and H0 denotes the connected component of the identity of H.
A Borel subalgebra of 
is the Lie algebra 
of some Borel subgroup B of G. A maximal torus of is the Lie algebra 
of some maximal torus T of G. In [4], it is shown that the maximal tori of are the maximal commutative subalgebras of consisting of semisimple elements, and the question was raised in § 14.3 as to whether the set of Borel subalgebras of is the set of maximal triangulable subalgebras of .
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- Copyright © Canadian Mathematical Society 1979
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