Young tableaux with applications to representation theory and flag manifolds

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dc.contributor.advisorHassett, Brendan E.
dc.creatorBruun, Christian
dc.date.accessioned2011-07-25T02:05:13Z
dc.date.available2011-07-25T02:05:13Z
dc.date.issued2010
dc.description.abstractWe outline the use of Young tableaux to describe geometric and algebraic objects using combinatorial methods. In particular, we discuss applications to representations of the symmetric group and the general linear group, flag varieties, and Schubert varieties. We also describe some recent work, including proofs of the Saturation Conjecture and a theorem on the eigenvalues of sums of Hermitian matrices.
dc.format.mimetypeapplication/pdf
dc.identifier.callnoTHESIS MATH. 2010 BRUUN
dc.identifier.citationBruun, Christian. "Young tableaux with applications to representation theory and flag manifolds." (2010) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/62009">https://hdl.handle.net/1911/62009</a>.
dc.identifier.urihttps://hdl.handle.net/1911/62009
dc.language.isoeng
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
dc.subjectApplied mathematics
dc.subjectMathematics
dc.titleYoung tableaux with applications to representation theory and flag manifolds
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMathematics
thesis.degree.disciplineNatural Sciences
thesis.degree.grantorRice University
thesis.degree.levelMasters
thesis.degree.nameMaster of Arts
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