{"id":{"repo_id":"freiburg-diss","oai_identifier":"oai:freidok.uni-freiburg.de:1183"},"canonical_url":"https://search.dev.ndltd.org/etd/freiburg-diss/oai:freidok.uni-freiburg.de:1183","repository":{"repo_id":"freiburg-diss","name":"University of Freiburg","base_url":"https://freidok.uni-freiburg.de/oai/oai2.php"},"display":{"title":"Categories with projective functors","abstract":"We introduce the notion of category with projective functors. It is then applied to describe the right (or left) exact functors on various categories of representations of semi simple Lie algebras. Other applications are the description of the algebra of adjoint finite endomorphisms of a simple module with minimal annihilator over a semi-simple Lie algebra and the (rough) structure of parabolically induced modules.","abstract_html":"We introduce the notion of category with projective functors. It is then applied to describe the right (or left) exact functors on various categories of representations of semi simple Lie algebras. Other applications are the description of the algebra of adjoint finite endomorphisms of a simple module with minimal annihilator over a semi-simple Lie algebra and the (rough) structure of parabolically induced modules.","abstract_has_math":false,"creators":["Khomenko, Oleksandr"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Soergel, Wolfgang"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":null,"date_issued":"","date_published":null,"updated_at":"2026-07-24T02:22:03Z","subjects":["Kategorie O","Category O"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://freidok.uni-freiburg.de/data/1183","outbound_label":"Repository record","outbound_source":"source_url"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Soergel, Wolfgang"]},{"key":"dc:creator","label":"Author","values":["Khomenko, Oleksandr"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:type","label":"Dc Type","values":["DoctoralThesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Kategorie O","Category O"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["We introduce the notion of category with projective functors. It is then applied to describe the right (or left) exact functors on various categories of representations of semi simple Lie algebras. Other applications are the description of the algebra of adjoint finite endomorphisms of a simple module with minimal annihilator over a semi-simple Lie algebra and the (rough) structure of parabolically induced modules.","Wir fuehren den Begriff einer Kategorie mit projektiven Funktoren ein. Als Anwendunge praesentieren wir eine Beschreibung von rechts-(bzw.links-) exakten Funktoren auf unterschidlichen Darstellungskategorien von halbeinfachen Lie algebren, eine Beschreibung der Algebra von adjungiertendlichen Endomorphismen eines einfaches Moduls mit minimalem Annulator ueber eine halbeinfachen Lie Algebra und eine Beschreibung der (groben) Struktur von parabolish induzierten Moduln."]},{"key":"dc:format.medium","label":"Dc Format Medium","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Categories with projective functors","Kategorien mit projektiven Funktoren"]}]}],"canonical_facts":{"dc:contributor":["Soergel, Wolfgang"],"dc:creator":["Khomenko, Oleksandr"],"dc:description.abstract":["We introduce the notion of category with projective functors. It is then applied to describe the right (or left) exact functors on various categories of representations of semi simple Lie algebras. Other applications are the description of the algebra of adjoint finite endomorphisms of a simple module with minimal annihilator over a semi-simple Lie algebra and the (rough) structure of parabolically induced modules.","Wir fuehren den Begriff einer Kategorie mit projektiven Funktoren ein. Als Anwendunge praesentieren wir eine Beschreibung von rechts-(bzw.links-) exakten Funktoren auf unterschidlichen Darstellungskategorien von halbeinfachen Lie algebren, eine Beschreibung der Algebra von adjungiertendlichen Endomorphismen eines einfaches Moduls mit minimalem Annulator ueber eine halbeinfachen Lie Algebra und eine Beschreibung der (groben) Struktur von parabolish induzierten Moduln."],"dc:format.medium":["application/pdf"],"dc:subject":["Kategorie O","Category O"],"dc:title":["Categories with projective functors","Kategorien mit projektiven Funktoren"],"dc:type":["DoctoralThesis"]},"updated_at":"2026-07-24T02:22:03Z"}