Multiparameter BCn-Kostka-Foulkes Polynomials

Simple item page
dc.contributor.authorGoodberry, Benjamin Nathanielen
dc.contributor.committeechairOrr, Daniel D.en
dc.contributor.committeememberLoehr, Nicholas A.en
dc.contributor.committeememberShimozono, Mark M.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2018-06-20T08:02:42Zen
dc.date.available2018-06-20T08:02:42Zen
dc.date.issued2018-06-19en
dc.description.abstractThe Kostka-Foulkes polynomials describe the change of basis between Schur polynomials and Hall-Littlewood polynomials. In this paper, we extend this idea to the family of BCn Macdonald spherical functions, with multiparameter Kostka-Foulkes polynomials acting as the change of basis from the BC_n spherical functions to the type Cn Schur polynomials. We develop a Kato-Lusztig formula that describes the multiparameter BCn-Kostka-Foulkes polynomials.en
dc.description.degreeMaster of Scienceen
dc.format.mediumETDen
dc.identifier.othervt_gsexam:15656en
dc.identifier.urihttp://hdl.handle.net/10919/83576en
dc.publisherVirginia Techen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectHall-Littlewood Polynomialsen
dc.subjectKostka-Foulkes Polynomialsen
dc.subjectAlgebraic Combinatoricsen
dc.titleMultiparameter BCn-Kostka-Foulkes Polynomialsen
dc.typeThesisen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Goodberry_BN_T_2018.pdf
Size:
271.69 KB
Format:
Adobe Portable Document Format
Download

Collections

Masters Theses