Young tableaux with applications to representation theory and flag manifolds

Young tableaux with applications to representation theory and flag manifolds

We 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, incl...

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Bibliographic Details
Other Authors: Hassett, Brendan
Format: Others
Language:English
Published: 2011
Subjects:
Applied Mathematics
Mathematics
Online Access:http://hdl.handle.net/1911/62009
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spelling ndltd-RICE-oai-scholarship.rice.edu-1911-620092013-05-01T03:46:37ZYoung tableaux with applications to representation theory and flag manifoldsApplied MathematicsMathematicsWe 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.Hassett, Brendan2011-07-25T02:05:13Z2011-07-25T02:05:13Z2010ThesisTextapplication/pdfhttp://hdl.handle.net/1911/62009eng
collection NDLTD
language English
format Others
sources NDLTD
topic Applied Mathematics
Mathematics
spellingShingle Applied Mathematics
Mathematics
Young tableaux with applications to representation theory and flag manifolds
description We 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.
author2 Hassett, Brendan
author_facet Hassett, Brendan
title Young tableaux with applications to representation theory and flag manifolds
title_short Young tableaux with applications to representation theory and flag manifolds
title_full Young tableaux with applications to representation theory and flag manifolds
title_fullStr Young tableaux with applications to representation theory and flag manifolds
title_full_unstemmed Young tableaux with applications to representation theory and flag manifolds
title_sort young tableaux with applications to representation theory and flag manifolds
publishDate 2011
url http://hdl.handle.net/1911/62009
_version_ 1716584846234484736

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