<?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>2026-09-20T17:00:38Z</responseDate><request verb="GetRecord" identifier="oai:wakespace.lib.wfu.edu:10339/57108" metadataPrefix="dim">https://wakespace.lib.wfu.edu/server/oai/request</request><GetRecord><record><header><identifier>oai:null:10339/57108</identifier><datestamp>2026-09-18T12:43:41Z</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">Schreiber, Amelie</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="accessioned">2015-06-23T08:35:38Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="available">2015-06-23T08:35:38Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="issued" lang="en_US">2015</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="uri">https://wakespace.lib.wfu.edu/handle/10339/57108</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="abstract" lang="en_US">Using Schofield semi-invariants, and showing a correspondence between weight spaces of semi-invariant rings for a special class of quivers, and the Littlewood-Richardson coefficients, we show that the space of Littlewood-Richardson numbers is saturated, i.e. if $c_{N \lambda, N \mu}^{N \nu} \neq 0$ then $c_{\lambda, \mu}^{\nu} \neq 0$, by showing that weights $\sigma \in \Sigma(Q, \beta)$ are saturated.</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">Algebraic Combinatorics</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Algebraic Geometry</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Littlewood-Richardson Coefficients</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Quiver Representations</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Representation Theory</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Schofield Semi-invariants</dim:field>
   <dim:field mdschema="dc" element="title" lang="en_US">Semi-invariants of Quivers and Saturation of Littlewood-Richardson Coefficients</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">Kirkman, Ellen</dim:field>
   <dim:field mdschema="thesis" element="contributor" qualifier="committeeMember" lang="en_US">Moore, Frank</dim:field>
   <dim:field mdschema="thesis" element="contributor" qualifier="committeeMember" lang="en_US">Rouse, Jeremy</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>
</metadata></record></GetRecord></OAI-PMH>