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dc.contributor.authorHertz, Mark Jamesen_US
dc.date.accessioned2017-06-17T08:00:25Z
dc.date.available2017-06-17T08:00:25Z
dc.date.issued2017-06-16en_US
dc.identifier.othervt_gsexam:11957en_US
dc.identifier.urihttp://hdl.handle.net/10919/78215
dc.description.abstractIn this paper, we use the techniques of plethystic substitution to reformulate the difference raising operators presented by Di Francesco and Kedem. A connection between these operators and Shimozono and Zabrocki's parabolic Jing operators is presented. In particular, we find that these operators are a renormalization of a particular case of the parabolic Jing operators.en_US
dc.format.mediumETDen_US
dc.publisherVirginia Techen_US
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectSymmetric Functionsen_US
dc.subjectRepresentation Theoryen_US
dc.subjectPlethysmen_US
dc.titleDifference Raising Operators for Kirillov-Reshetikhin Characters and Parabolic Jing Operatorsen_US
dc.typeThesisen_US
dc.contributor.departmentMathematicsen_US
dc.description.degreeMaster of Scienceen_US
thesis.degree.nameMaster of Scienceen_US
thesis.degree.levelmastersen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplineMathematicsen_US
dc.contributor.committeechairOrr, Daniel D.en_US
dc.contributor.committeememberShimozono, Mark M.en_US
dc.contributor.committeememberMihalcea, Constantin Leonardoen_US


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