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dc.contributor.authorRattan, Amarpreeten
dc.date.accessioned2006-08-22 14:30:10 (GMT)
dc.date.available2006-08-22 14:30:10 (GMT)
dc.date.issued2005en
dc.date.submitted2005en
dc.identifier.urihttp://hdl.handle.net/10012/1029
dc.description.abstractIn this thesis, we investigate two expressions for symmetric group characters: Kerov?s universal character polynomials and Stanley?s character polynomials. We give a new explicit form for Kerov?s polynomials, which exactly evaluate the characters of the symmetric group scaled by degree and a constant. We use this explicit expression to obtain specific information about Kerov polynomials, including partial answers to positivity questions. We then use the expression obtained for Kerov?s polynomials to obtain results about Stanley?s character polynomials.en
dc.formatapplication/pdfen
dc.format.extent800506 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherUniversity of Waterlooen
dc.rightsCopyright: 2005, Rattan, Amarpreet. All rights reserved.en
dc.subjectMathematicsen
dc.subjectrepresentation theoryen
dc.subjectalgebraen
dc.subjectlagrange inversionen
dc.subjectpolynomialsen
dc.subjectgenerating seriesen
dc.titleCharacter Polynomials and Lagrange Inversionen
dc.typeDoctoral Thesisen
dc.pendingfalseen
uws-etd.degree.departmentCombinatorics and Optimizationen
uws-etd.degreeDoctor of Philosophyen
uws.typeOfResourceTexten
uws.peerReviewStatusUnrevieweden
uws.scholarLevelGraduateen


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