Young tableaux with applications to representation theory and flag manifolds

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dc.contributor.advisorHassett, Brendan E.en_US
dc.creatorBruun, Christianen_US
dc.date.accessioned2011-07-25T02:05:13Zen_US
dc.date.available2011-07-25T02:05:13Zen_US
dc.date.issued2010en_US
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.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS MATH. 2010 BRUUNen_US
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>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/62009en_US
dc.language.isoengen_US
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.en_US
dc.subjectApplied mathematicsen_US
dc.subjectMathematicsen_US
dc.titleYoung tableaux with applications to representation theory and flag manifoldsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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