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dc.contributor.advisorGrantcharov, Dimitar
dc.creatorCavaness, Andrew Dale
dc.date.accessioned2017-10-02T14:50:58Z
dc.date.available2017-10-02T14:50:58Z
dc.date.created2017-08
dc.date.issued2017-08-14
dc.date.submittedAugust 2017
dc.identifier.urihttp://hdl.handle.net/10106/26990
dc.description.abstractClassification of the weight modules of the Lie algebra Wn of vector fields on C n has been a long-standing problem in the area of representation theory. In this thesis, a classification of all simple weight modules of W2 with a uniformly bounded set of weight multiplicities is provided, and much of the theory that will be needed to classify all simple weight modules of Wn with a uniformly bounded set of weight multiplicities will also be developed. To achieve this classification, a new family of generalized tensor Wn-modules is introduced, and a twisted localization functor is applied.
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.subjectLie Algebra
dc.subjectWeight Module
dc.subjectTwisted Localization
dc.subjectParabolic Induction
dc.subjectTensor Module
dc.titleSimple Weight Modules of the Lie Algebra of Vector Fields of C2
dc.typeThesis
dc.date.updated2017-10-02T14:51:30Z
thesis.degree.departmentMathematics
thesis.degree.grantorThe University of Texas at Arlington
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy in Mathematics
dc.type.materialtext


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