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dc.contributor.advisorHunziker, Markus, 1968-
dc.contributor.authorPruett, W. Andrew.
dc.contributor.otherBaylor University. Dept. of Mathematics.en
dc.date.accessioned2010-06-23T12:23:43Z
dc.date.available2010-06-23T12:23:43Z
dc.date.copyright2010-05
dc.date.issued2010-06-23T12:23:43Z
dc.identifier.urihttp://hdl.handle.net/2104/7943
dc.descriptionIncludes bibliographical references (p. ).en
dc.description.abstractWe develop a system of canonical reduced decompositions of minimal coset representatives of quotients corresponding to cominuscule flag varieties and affine Grassmannians. This canonical decomposition allows, in the first case, an abbreviated computation of relative R-polynomials. From this, we show that these polynomials can be obtained from unlabelled intervals, and more generally, that Kazhdan-Lusztig polynomials associated to cominuscule flag varieties are combinatorially invariant. In the second case, we are able to provide a list of the rationally smooth Schubert varieties in simply laced affine Grassmannians corresponding to types A, D, and E. The results in this case were obtained independently by Billey and Mitchell in 2008.en
dc.description.statementofresponsibilityby W. Andrew Pruett.en
dc.format.extent41819 bytes
dc.format.extent687134 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen
dc.rightsBaylor University theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. Contact librarywebmaster@baylor.edu for inquiries about permission.en
dc.subjectR-polynomials.en
dc.subjectRational smoothness.en
dc.subjectAffine Grassmannians.en
dc.subjectRelative R polynomials.en
dc.subjectCominuscule flag varieties.en
dc.subjectCombinatorial invariance.en
dc.subjectWeyl group quotients.en
dc.titleDiagrams and reduced decompositions for cominuscule flag varieties and affine Grassmannians.en
dc.typeThesisen
dc.description.degreePh.D.en
dc.rights.accessrightsWorldwide accessen
dc.contributor.departmentMathematics.en


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