Difference Raising Operators for Kirillov-Reshetikhin Characters and Parabolic Jing Operators

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dc.contributor.authorHertz, Mark Jamesen
dc.contributor.committeechairOrr, Daniel D.en
dc.contributor.committeememberShimozono, Mark M.en
dc.contributor.committeememberMihalcea, Constantin Leonardoen
dc.contributor.departmentMathematicsen
dc.date.accessioned2017-06-17T08:00:25Zen
dc.date.available2017-06-17T08:00:25Zen
dc.date.issued2017-06-16en
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
dc.description.abstractgeneralIn response to an open problem in Physics, an idea is presented by Di Francesco and Kedem in [1]. A connection between this idea and a Math idea presented by Shimozono and Zabrocki in [9] is presented. It is common that unknown overlap exists when authors from different fields work on similar problems. This connection is seen once the techniques used by Di Francesco and Kedem are interpreted in the language used by Shimozono and Zabrocki. In particular, we find that the idea in [1] is a specialization of that in [9].en
dc.description.degreeMaster of Scienceen
dc.format.mediumETDen
dc.identifier.othervt_gsexam:11957en
dc.identifier.urihttp://hdl.handle.net/10919/78215en
dc.publisherVirginia Techen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectSymmetric Functionsen
dc.subjectRepresentation Theoryen
dc.subjectPlethysmen
dc.titleDifference Raising Operators for Kirillov-Reshetikhin Characters and Parabolic Jing Operatorsen
dc.typeThesisen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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