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Rectification of Composition Tableaux

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abstract
In this thesis we define an algorithm for rectifying one cell in a composition tableau. We then describe a generalization of this rectification process. The generalization is from one cell in the first column to any number of cells in the first column, provided they are bottom-justified. We show this rectification of a composition tableau commutes with the rectification of a reverse semi-standard Young tableau. Rectification of reverse semi-standard Young tableaux is used to define evacuation of reverse semi-standard Young tableaux. We define evacuation for composition tableaux using our rectification process for composition tableaux.
subject
Composition Tableaux
Evacuation
Quasisymmetric polynomials
Rectification
Schur polynomials
Tableaux
contributor
Bechard, Melissa Kate (author)
Mason, Sarah K (committee chair)
Kirkman, Ellen (committee member)
Allen, Edward E (committee member)
date
2012-06-12T08:36:06Z (accessioned)
2012-06-12T08:36:06Z (available)
2012 (issued)
degree
Mathematics (discipline)
identifier
http://hdl.handle.net/10339/37312 (uri)
language
en (iso)
publisher
Wake Forest University
title
Rectification of Composition Tableaux
type
Thesis

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