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Young tableaux with applications to representation theory and flag manifolds

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Title: Young tableaux with applications to representation theory and flag manifolds
Author: Bruun, Christian
Advisor: Hassett, Brendan
Degree: Master of Arts thesis
Abstract: 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.
Citation: Bruun, Christian. (2010) "Young tableaux with applications to representation theory and flag manifolds." Masters Thesis, Rice University. http://hdl.handle.net/1911/62009.
URI: http://hdl.handle.net/1911/62009
Date: 2010

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