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Solvable Subgroups and their Lie Algebras in Characteristic p

Published online by Cambridge University Press:  20 November 2018

David J. Winter
David J. Winter*
Affiliation:
University of Michigan, Ann Arbor, Michigan
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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 .

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 31 , Issue 2 , 01 April 1979 , pp. 308 - 311
Copyright
Copyright © Canadian Mathematical Society 1979

References

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