Show simple item record

dc.contributor.advisorPalmieri, John Hen_US
dc.contributor.authorAponte Roman, Camil Ivetteen_US
dc.date.accessioned2014-10-13T16:56:59Z
dc.date.available2014-10-13T16:56:59Z
dc.date.submitted2014en_US
dc.identifier.otherAponteRoman_washington_0250E_13241.pdfen_US
dc.identifier.urihttp://hdl.handle.net/1773/26123
dc.descriptionThesis (Ph.D.)--University of Washington, 2014en_US
dc.description.abstractWe define graded group schemes and graded group varieties and develop their theory. We give a generalization of the result that connected graded bialgebras are graded Hopf algebra. Our result is given for a broader class of graded Hopf algebras: the coordinate rings of graded group varieties. We also give a classification for graded group algebras and graded group varieties. We proceed to using tools of representation theory to get a better understanding of the cohomology of graded group schemes. For that, we focus our attention on the case in which the base field is of characteristic p > 0. Using as inspiration the work on [SFB97b], [SFB97a] and [FP05], we define graded p-points and build the theory of graded 1-parameter subgroups. We give a natural homomorphism from the cohomology of a graded group scheme to the coordinate ring of graded 1-parameter subgroups and we show that it is an F-monomorphism.en_US
dc.format.mimetypeapplication/pdfen_US
dc.language.isoen_USen_US
dc.rightsCopyright is held by the individual authors.en_US
dc.subjectAlgebra; Algebraic Geometry; Group Schemes; Homological Algebra; Hopf Algebras; Representation Theoryen_US
dc.subject.otherMathematicsen_US
dc.subject.othermathematicsen_US
dc.titleGraded group schemesen_US
dc.typeThesisen_US
dc.embargo.termsOpen Accessen_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record