{"id":{"repo_id":"east-anglia","oai_identifier":"oai:ueaeprints.uea.ac.uk:41947"},"canonical_url":"https://search.dev.ndltd.org/etd/east-anglia/oai:ueaeprints.uea.ac.uk:41947","repository":{"repo_id":"east-anglia","name":"University of East Anglia","base_url":"https://ueaeprints.uea.ac.uk/cgi/oai2"},"display":{"title":"Smooth ℓ-modular representations of unramified p -adic U(2, 1)(E/F)","abstract":"Let E/F be an unramified quadratic extension of p-adic fields and G be the unitary group U(2, 1)(E/F). In this thesis we construct all ℓ-modular irreducible cuspidal representations of G by compact induction from irreducible representations of compact open subgroups of G. Under an assumption on the possible cuspidal subquotients of representations parabolically induced from an irreducible positive level representation, we show that the supercuspidal support of an irreducible `-modular representation of G is unique up to conjugacy.","abstract_html":"Let E/F be an unramified quadratic extension of p-adic fields and G be the unitary group U(2, 1)(E/F). In this thesis we construct all ℓ-modular irreducible cuspidal representations of G by compact induction from irreducible representations of compact open subgroups of G. Under an assumption on the possible cuspidal subquotients of representations parabolically induced from an irreducible positive level representation, we show that the supercuspidal support of an irreducible `-modular representation of G is unique up to conjugacy.","abstract_has_math":false,"creators":["Kurinczuk, Robert"],"institution":"University of East Anglia","degree_name":"phd","degree_level":"doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-12","date_published":"2012-12","updated_at":"2026-07-24T02:11:51Z","subjects":[],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Kurinczuk, Robert"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2012-12"]},{"key":"dc:date.issued","label":"Date","values":["2012-12"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["School of Mathematics"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["University of East Anglia"]},{"key":"dc:relation.isreferencedby","label":"Dc Relation Isreferencedby","values":["https://ueaeprints.uea.ac.uk/id/eprint/41947/"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["doctoral"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["phd"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://ueaeprints.uea.ac.uk/id/eprint/41947/1/2012KurinczukRJPhD.pdf"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Let E/F be an unramified quadratic extension of p-adic fields and G be the unitary group U(2, 1)(E/F). In this thesis we construct all ℓ-modular irreducible cuspidal representations of G by compact induction from irreducible representations of compact open subgroups of G. Under an assumption on the possible cuspidal subquotients of representations parabolically induced from an irreducible positive level representation, we show that the supercuspidal support of an irreducible `-modular representation of G is unique up to conjugacy."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Smooth ℓ-modular representations of unramified p -adic U(2, 1)(E/F)"]}]}],"canonical_facts":{"dc:creator":["Kurinczuk, Robert"],"dc:date":["2012-12"],"dc:date.issued":["2012-12"],"dc:description.abstract":["Let E/F be an unramified quadratic extension of p-adic fields and G be the unitary group U(2, 1)(E/F). In this thesis we construct all ℓ-modular irreducible cuspidal representations of G by compact induction from irreducible representations of compact open subgroups of G. Under an assumption on the possible cuspidal subquotients of representations parabolically induced from an irreducible positive level representation, we show that the supercuspidal support of an irreducible `-modular representation of G is unique up to conjugacy."],"dc:format":["application/pdf"],"dc:identifier.uri":["https://ueaeprints.uea.ac.uk/id/eprint/41947/1/2012KurinczukRJPhD.pdf"],"dc:language":["en"],"dc:publisher.department":["School of Mathematics"],"dc:publisher.institution":["University of East Anglia"],"dc:relation.isreferencedby":["https://ueaeprints.uea.ac.uk/id/eprint/41947/"],"dc:title":["Smooth ℓ-modular representations of unramified p -adic U(2, 1)(E/F)"],"dc:type":["Thesis"],"dc:type.qualificationlevel":["doctoral"],"dc:type.qualificationname":["phd"]},"updated_at":"2026-07-24T02:11:51Z"}