{"id":{"repo_id":"buffalo","oai_identifier":"oai:ubir.buffalo.edu:10477/78121"},"canonical_url":"https://search.dev.ndltd.org/etd/buffalo/oai:ubir.buffalo.edu:10477/78121","repository":{"repo_id":"buffalo","name":"Buffalo","base_url":"https://ubir.buffalo.edu/oai/request"},"display":{"title":"On the Induced Module of the symmetric group from the Gelfand-Zetlin subalgebra","abstract":"Ph.D.","abstract_html":"Ph.D.","abstract_has_math":false,"creators":["Su, Yin"],"institution":"State University of New York at Buffalo","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Hemmer, David","Mathematics"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2018,"date_issued":"2018-06-28T20:34:22Z","date_published":"2018-06-28T20:34:22Z","updated_at":"2026-07-27T19:05:09Z","subjects":["mathematics"],"languages":["eng"],"rights":["Users of works found in University at Buffalo Institutional Repository (UBIR) are responsible for identifying and contacting the copyright owner for permission to reuse. University at Buffalo Libraries do not manage rights for copyright-protected works and cannot assist with permissions.","Copyright retained by author."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10477/78121","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Hemmer, David","Mathematics"]},{"key":"dc:creator","label":"Author","values":["Su, Yin"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2018-06-28T20:34:22Z","2018","2018-05-18 11:35:28"]},{"key":"dc:publisher","label":"Institution","values":["State University of New York at Buffalo"]},{"key":"dc:type","label":"Dc Type","values":["Text","Dissertation"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Users of works found in University at Buffalo Institutional Repository (UBIR) are responsible for identifying and contacting the copyright owner for permission to reuse. University at Buffalo Libraries do not manage rights for copyright-protected works and cannot assist with permissions.","Copyright retained by author."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/10477/78121"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Ph.D.","In my dissertation, the induced modules $\\Ind[\\alpha]$ are studied. For a weight $[\\alpha]\\in \\F^n$, $\\Ind[\\alpha]$ is defined to be an $\\F\\S_n$-module, that is induced from a module $I[\\alpha]$, over the Gelfand-Zetlin subalgebra, generated by the Murphy's elements. In this paper, an epimorphism the induced module to the dual Specht module is defined over fields of any characteristic. In characteristic $0$, it will be shown that each nonzero induced module $\\Ind[\\alpha]$ is isomorphic to a Specht module. In characteristic p, I will discuss when the induced module is nonzero, and show that all composition factors belong to a single block of $\\F\\S_n$."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["On the Induced Module of the symmetric group from the Gelfand-Zetlin subalgebra"]}]}],"canonical_facts":{"dc:contributor":["Hemmer, David","Mathematics"],"dc:creator":["Su, Yin"],"dc:date":["2018-06-28T20:34:22Z","2018","2018-05-18 11:35:28"],"dc:description":["Ph.D.","In my dissertation, the induced modules $\\Ind[\\alpha]$ are studied. For a weight $[\\alpha]\\in \\F^n$, $\\Ind[\\alpha]$ is defined to be an $\\F\\S_n$-module, that is induced from a module $I[\\alpha]$, over the Gelfand-Zetlin subalgebra, generated by the Murphy's elements. In this paper, an epimorphism the induced module to the dual Specht module is defined over fields of any characteristic. In characteristic $0$, it will be shown that each nonzero induced module $\\Ind[\\alpha]$ is isomorphic to a Specht module. In characteristic p, I will discuss when the induced module is nonzero, and show that all composition factors belong to a single block of $\\F\\S_n$."],"dc:format":["application/pdf"],"dc:identifier":["http://hdl.handle.net/10477/78121"],"dc:language":["eng"],"dc:publisher":["State University of New York at Buffalo"],"dc:rights":["Users of works found in University at Buffalo Institutional Repository (UBIR) are responsible for identifying and contacting the copyright owner for permission to reuse. University at Buffalo Libraries do not manage rights for copyright-protected works and cannot assist with permissions.","Copyright retained by author."],"dc:subject":["mathematics"],"dc:title":["On the Induced Module of the symmetric group from the Gelfand-Zetlin subalgebra"],"dc:type":["Text","Dissertation"]},"updated_at":"2026-07-27T19:05:09Z"}