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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 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.

Identiferoai:union.ndltd.org:canterbury.ac.nz/oai:ir.canterbury.ac.nz:10092/7150
Date January 2012
CreatorsUchiyama, Tomohiro
PublisherUniversity of Canterbury. Mathematics and Statistics
Source SetsUniversity of Canterbury
LanguageEnglish
Detected LanguageEnglish
TypeElectronic thesis or dissertation, Text
RightsCopyright Tomohiro Uchiyama, http://library.canterbury.ac.nz/thesis/etheses_copyright.shtml
RelationNZCU

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