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Weil Representation and Central Extensions of Loop Symplectic Groups

dc.contributor.authorBergeron-Legros, Gabriel
dc.contributor.supervisorSalmasian, Hadi
dc.date.accessioned2014-08-29T13:04:27Z
dc.date.available2014-08-29T13:04:27Z
dc.date.created2014
dc.date.issued2014
dc.degree.disciplineSciences / Science
dc.degree.levelmasters
dc.degree.nameMSc
dc.description.abstractIn this thesis, we present the Weil representation over loop symplectic groups. Then we study the question of whether or not the Schrodinger representation and the Weil representation are continuous. Finally, we define a cocycle of the rank 2 symplectic group, adapt Kubota's theorem to this case and verify that it splits over a subgroup.
dc.faculty.departmentMathématiques et statistique / Mathematics and Statistics
dc.identifier.urihttp://hdl.handle.net/10393/31516
dc.identifier.urihttp://dx.doi.org/10.20381/ruor-6345
dc.language.isoen
dc.publisherUniversité d'Ottawa / University of Ottawa
dc.subjectKubota
dc.subjectWeil
dc.subjectloop symplectic
dc.subjectcocycle
dc.titleWeil Representation and Central Extensions of Loop Symplectic Groups
dc.typeThesis
thesis.degree.disciplineSciences / Science
thesis.degree.levelMasters
thesis.degree.nameMSc
uottawa.departmentMathématiques et statistique / Mathematics and Statistics

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