{"id":{"repo_id":"wfu","oai_identifier":"oai:wakespace.lib.wfu.edu:10339/57108"},"canonical_url":"https://search.dev.ndltd.org/etd/wfu/oai:wakespace.lib.wfu.edu:10339/57108","repository":{"repo_id":"wfu","name":"Wake Forest University","base_url":"https://wakespace.lib.wfu.edu/oai/request"},"display":{"title":"Semi-invariants of Quivers and Saturation of Littlewood-Richardson Coefficients","abstract":"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.","abstract_html":"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 <span class=\"etd-inline-math\">c<sub>N \\lambda, N &mu;</sub><sup>N \\nu</sup> \\neq 0</span> then <span class=\"etd-inline-math\">c<sub>\\lambda, &mu;</sub><sup>\\nu</sup> \\neq 0</span>, by showing that weights <span class=\"etd-inline-math\">&sigma; \\in \\Sigma(Q, &beta;)</span> are saturated.","abstract_has_math":true,"creators":["Schreiber, Amelie"],"institution":"Wake Forest University","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015","date_published":"2015","updated_at":"2026-07-27T22:01:52Z","subjects":["Algebraic Combinatorics"],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10339/57108","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Schreiber, Amelie"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2015-06-23T08:35:38Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2015-06-23T08:35:38Z"]},{"key":"dc:date.issued","label":"Date","values":["2015"]},{"key":"dc:publisher","label":"Institution","values":["Wake Forest University"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Algebraic Combinatorics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10339/57108"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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."]},{"key":"dc:title","label":"Title","values":["Semi-invariants of Quivers and Saturation of Littlewood-Richardson Coefficients"]}]}],"canonical_facts":{"dc:creator":["Schreiber, Amelie"],"dc:date.accessioned":["2015-06-23T08:35:38Z"],"dc:date.available":["2015-06-23T08:35:38Z"],"dc:date.issued":["2015"],"dc:description.abstract":["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."],"dc:identifier.uri":["http://hdl.handle.net/10339/57108"],"dc:language.iso":["en"],"dc:publisher":["Wake Forest University"],"dc:subject":["Algebraic Combinatorics"],"dc:title":["Semi-invariants of Quivers and Saturation of Littlewood-Richardson Coefficients"],"dc:type":["Thesis"]},"updated_at":"2026-07-27T22:01:52Z"}