|
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. "Young tableaux with applications to representation theory and flag manifolds." Masters Thesis, Rice University, ETD http://hdl.handle.net/1911/62009. |
|
Citable link to this page:
|
http://hdl.handle.net/1911/62009 |
|
Date:
|
2010 |
