Separability and complete reducibility of subgroups of the Weyl group of a simple algebraic group

Let G be a reductive algebraic group defined over an algebraically closed field of characteristic p. A subgroup H of G is called G-complete reducible whenever H is contained in a parabolic subgroup P of G, it is contained in some Levi subgroup of P. In this thesis, we present a pair of reductive sub...

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Main Author:	Uchiyama, Tomohiro
Language:	en
Published:	University of Canterbury. Mathematics and Statistics 2012
Subjects:	algebraic groups complete reducibility positive characteristic reductive algebraic groups separability
Online Access:	http://hdl.handle.net/10092/7150

id	ndltd-canterbury.ac.nz-oai-ir.canterbury.ac.nz-10092-7150
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spelling	ndltd-canterbury.ac.nz-oai-ir.canterbury.ac.nz-10092-71502015-03-30T15:29:30ZSeparability and complete reducibility of subgroups of the Weyl group of a simple algebraic groupUchiyama, Tomohiroalgebraic groupscomplete reducibilitypositive characteristicreductive algebraic groupsseparabilityLet G be a reductive algebraic group defined over an algebraically closed field of characteristic p. A subgroup H of G is called G-complete reducible whenever H is contained in a parabolic subgroup P of G, it is contained in some Levi subgroup of P. In this thesis, we present a pair of reductive subgroups H and M of G of type E_7 such that H<M and H is G-completely reducible but not M-completely reducible.University of Canterbury. Mathematics and Statistics2012-10-24T23:09:25Z2012-10-24T23:09:25Z2012Electronic thesis or dissertationTexthttp://hdl.handle.net/10092/7150enNZCUCopyright Tomohiro Uchiyamahttp://library.canterbury.ac.nz/thesis/etheses_copyright.shtml
collection	NDLTD
language	en
sources	NDLTD
topic	algebraic groups complete reducibility positive characteristic reductive algebraic groups separability
spellingShingle	algebraic groups complete reducibility positive characteristic reductive algebraic groups separability Uchiyama, Tomohiro Separability and complete reducibility of subgroups of the Weyl group of a simple algebraic group
description	Let G be a reductive algebraic group defined over an algebraically closed field of characteristic p. A subgroup H of G is called G-complete reducible whenever H is contained in a parabolic subgroup P of G, it is contained in some Levi subgroup of P. In this thesis, we present a pair of reductive subgroups H and M of G of type E_7 such that H<M and H is G-completely reducible but not M-completely reducible.
author	Uchiyama, Tomohiro
author_facet	Uchiyama, Tomohiro
author_sort	Uchiyama, Tomohiro
title	Separability and complete reducibility of subgroups of the Weyl group of a simple algebraic group
title_short	Separability and complete reducibility of subgroups of the Weyl group of a simple algebraic group
title_full	Separability and complete reducibility of subgroups of the Weyl group of a simple algebraic group
title_fullStr	Separability and complete reducibility of subgroups of the Weyl group of a simple algebraic group
title_full_unstemmed	Separability and complete reducibility of subgroups of the Weyl group of a simple algebraic group
title_sort	separability and complete reducibility of subgroups of the weyl group of a simple algebraic group
publisher	University of Canterbury. Mathematics and Statistics
publishDate	2012
url	http://hdl.handle.net/10092/7150
work_keys_str_mv	AT uchiyamatomohiro separabilityandcompletereducibilityofsubgroupsoftheweylgroupofasimplealgebraicgroup
_version_	1716798903925342208

Separability and complete reducibility of subgroups of the Weyl group of a simple algebraic group

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