{"id":{"repo_id":"ottawa-retro","oai_identifier":"oai:ruor.uottawa.ca:10393/20490"},"canonical_url":"https://search.dev.ndltd.org/etd/ottawa-retro/oai:ruor.uottawa.ca:10393/20490","repository":{"repo_id":"ottawa-retro","name":"University of Ottawa","base_url":"https://ruor.uottawa.ca/server/oai/request"},"display":{"title":"The Modern Representation Theory of the Symmetric Groups","abstract":"The goal of this thesis is to first give an overview of the modern approach, using the paper of A. Vershik and A. Okounkov, to inductively parametrizing all irreducible representations of the symmetric groups. This theory is then used to answer questions concerning to central projections in the group algebra. We index units first by partitions, and then by so called standard tableaux. We also present a new result and discuss future research exploring the connections between this theory and Quantum Information.","abstract_html":"The goal of this thesis is to first give an overview of the modern approach, using the paper of A. Vershik and A. Okounkov, to inductively parametrizing all irreducible representations of the symmetric groups. This theory is then used to answer questions concerning to central projections in the group algebra. We index units first by partitions, and then by so called standard tableaux. We also present a new result and discuss future research exploring the connections between this theory and Quantum Information.","abstract_has_math":false,"creators":["Cioppa, Timothy"],"institution":"Université d'Ottawa / University of Ottawa","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Collins, Benoit"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-12-14T19:42:49Z","date_published":"2011-12-14T19:42:49Z","updated_at":"2026-07-24T03:39:29Z","subjects":["Symmetric groups","representation theory","Vershik Okounkov approach","Young diagrams"],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["http://dx.doi.org/10.20381/ruor-5098"],"render_values":[{"text":"http://dx.doi.org/10.20381/ruor-5098","href":"http://dx.doi.org/10.20381/ruor-5098","code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10393/20490","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Collins, Benoit"]},{"key":"dc:creator","label":"Author","values":["Cioppa, Timothy"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-12-14T19:42:49Z","2012"]},{"key":"dc:publisher","label":"Institution","values":["Université d'Ottawa / University of Ottawa"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Symmetric groups","representation theory","Vershik Okounkov approach","Young diagrams"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/10393/20490","http://dx.doi.org/10.20381/ruor-5098"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The goal of this thesis is to first give an overview of the modern approach, using the paper of A. Vershik and A. Okounkov, to inductively parametrizing all irreducible representations of the symmetric groups. This theory is then used to answer questions concerning to central projections in the group algebra. We index units first by partitions, and then by so called standard tableaux. We also present a new result and discuss future research exploring the connections between this theory and Quantum Information."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["The Modern Representation Theory of the Symmetric Groups"]}]}],"canonical_facts":{"dc:contributor":["Collins, Benoit"],"dc:creator":["Cioppa, Timothy"],"dc:date":["2011-12-14T19:42:49Z","2012"],"dc:description":["The goal of this thesis is to first give an overview of the modern approach, using the paper of A. Vershik and A. Okounkov, to inductively parametrizing all irreducible representations of the symmetric groups. This theory is then used to answer questions concerning to central projections in the group algebra. We index units first by partitions, and then by so called standard tableaux. We also present a new result and discuss future research exploring the connections between this theory and Quantum Information."],"dc:format":["application/pdf"],"dc:identifier":["http://hdl.handle.net/10393/20490","http://dx.doi.org/10.20381/ruor-5098"],"dc:language":["en"],"dc:publisher":["Université d'Ottawa / University of Ottawa"],"dc:subject":["Symmetric groups","representation theory","Vershik Okounkov approach","Young diagrams"],"dc:title":["The Modern Representation Theory of the Symmetric Groups"],"dc:type":["Thesis"]},"updated_at":"2026-07-24T03:39:29Z"}