<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-09-20T04:46:05Z</responseDate><request verb="GetRecord" identifier="oai:wakespace.lib.wfu.edu:10339/37312" metadataPrefix="dim">https://wakespace.lib.wfu.edu/server/oai/request</request><GetRecord><record><header><identifier>oai:null:10339/37312</identifier><datestamp>2026-09-02T11:48:35Z</datestamp><setSpec>com_10339_14934</setSpec><setSpec>col_10339_38132</setSpec></header><metadata><dim:dim xmlns:dim="http://www.dspace.org/xmlns/dspace/dim" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.dspace.org/xmlns/dspace/dim http://www.dspace.org/schema/dim.xsd">
   <dim:field mdschema="dc" element="contributor" qualifier="author" lang="en_US">Bechard, Melissa Kate</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="accessioned">2012-06-12T08:36:06Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="available">2012-06-12T08:36:06Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="issued" lang="en_US">2012</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="uri">https://wakespace.lib.wfu.edu/handle/10339/37312</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="abstract" lang="en_US">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.</dim:field>
   <dim:field mdschema="dc" element="language" qualifier="iso" lang="en_US">en</dim:field>
   <dim:field mdschema="dc" element="publisher" lang="en_US">Wake Forest University</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Composition Tableaux</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Evacuation</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Quasisymmetric polynomials</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Rectification</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Schur polynomials</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Tableaux</dim:field>
   <dim:field mdschema="dc" element="title" lang="en_US">Rectification of Composition Tableaux</dim:field>
   <dim:field mdschema="dc" element="type" lang="en_US">Thesis</dim:field>
   <dim:field mdschema="thesis" element="contributor" qualifier="committeeChair" lang="en_US">Mason, Sarah K</dim:field>
   <dim:field mdschema="thesis" element="contributor" qualifier="committeeMember" lang="en_US">Kirkman, Ellen</dim:field>
   <dim:field mdschema="thesis" element="contributor" qualifier="committeeMember" lang="en_US">Allen, Edward E</dim:field>
   <dim:field mdschema="thesis" element="degree" qualifier="discipline" lang="en_US">Mathematics</dim:field>
   <dim:field mdschema="others" element="access-status">open.access</dim:field>
</dim:dim>
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