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Deligne-Lusztig varieties

dc.contributor.authorDionne, Christopher
dc.date.accessioned2013-11-07T19:04:25Z
dc.date.available2013-11-07T19:04:25Z
dc.date.created2009
dc.date.issued2009
dc.degree.levelMasters
dc.degree.nameM.Sc.
dc.description.abstractIn this thesis we expose some of the theory behind Deligne-Lusztig varieties. To this end, we develop the general theory of flag varieties, the theory of BN-pairs, and the theory of varieties defined over finite ground fields. With these tools in hand, we define Deligne-Lusztig varieties. We then study the Deligne-Lusztig varieties associated with general linear groups using flags, and give a complete description in the case of GL3.
dc.format.extent70 p.
dc.identifier.citationSource: Masters Abstracts International, Volume: 48-05, page: 3020.
dc.identifier.urihttp://hdl.handle.net/10393/28351
dc.identifier.urihttp://dx.doi.org/10.20381/ruor-12509
dc.language.isoen
dc.publisherUniversity of Ottawa (Canada)
dc.subject.classificationMathematics.
dc.titleDeligne-Lusztig varieties
dc.typeThesis

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