{"created":"2025-02-18T10:16:42.310206+00:00","id":2005636,"links":{},"metadata":{"_buckets":{"deposit":"37e56f2c-15f4-4f98-939d-9fe9a6624bb0"},"_deposit":{"created_by":41,"id":"2005636","owners":[41],"pid":{"revision_id":0,"type":"depid","value":"2005636"},"status":"published"},"_oai":{"id":"oai:hiroshima.repo.nii.ac.jp:02005636","sets":["1730444908512:1730444916333"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"Left invariant flat projective structures on Lie groups and prehomogeneous vector spaces","subitem_title_language":"en"},{"subitem_title":"リー群上の左不変平坦な射影構造と概均質ベクトル空間","subitem_title_language":"ja"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"加藤, 宏尚","creatorNameLang":"ja"},{"creatorName":"Hironao, Kato","creatorNameLang":"en"}],"familyNames":[{"familyName":"加藤","familyNameLang":"ja"},{"familyName":"Hironao","familyNameLang":"en"}],"givenNames":[{"givenName":"宏尚","givenNameLang":"ja"},{"givenName":"Kato","givenNameLang":"en"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_1617186499011":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"Copyright(c) by Author"}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_subject":"left invariant flat projective structure","subitem_subject_scheme":"Other"},{"subitem_subject":"prehomogeneous vector space","subitem_subject_scheme":"Other"},{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"We show the correspondence between left invariant flat projective structures on Lie groups and certain prehomogeneous vector spaces. Moreover by using the classification theory of prehomogeneous vector spaces, we classify complex Lie groups admitting irreducible left invariant flat complex projective structures. As a result, direct sums of special linear Lie algebras sl(2) ⊕ sl(m_1) ⊕ ⋅ ⋅ ⋅ ⊕ sl(m_k) admit left invariant flat complex projective structures if the equality 4 + m^2_1 + ⋅ ⋅ ⋅ + m^2_k - k - 4m_1m_2 ⋅ ⋅ ⋅ m_k = 0 holds. These contain sl(2), sl(2) ⊕ sl(3), sl(2) ⊕ sl(3) ⊕ sl(11) for example.","subitem_description_language":"en"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_1617187087799":{"attribute_name":"Dissertation Number","attribute_value_mlt":[{"subitem_dissertationnumber":"甲第5461号"}]},"item_1617187112279":{"attribute_name":"Degree Name","attribute_value_mlt":[{"subitem_degreename":"博士(理学)","subitem_degreename_language":"ja"},{"subitem_degreename":"Physical Science","subitem_degreename_language":"en"}]},"item_1617187136212":{"attribute_name":"Date Granted","attribute_value_mlt":[{"subitem_dategranted":"2011-03-23"}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"doctoral thesis","resourceuri":"http://purl.org/coar/resource_type/c_db06"}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2023-03-18"}],"displaytype":"simple","filename":"diss_ko5461.pdf","filesize":[{"value":"246.3 KB"}],"mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://hiroshima.repo.nii.ac.jp/record/2005636/files/diss_ko5461.pdf"},"version_id":"6e4e97ee-68a9-4395-95fa-fe0226e2e0e8"}]},"item_1617944105607":{"attribute_name":"Degree Grantor","attribute_value_mlt":[{"subitem_degreegrantor":[{"subitem_degreegrantor_language":"ja","subitem_degreegrantor_name":"広島大学"}],"subitem_degreegrantor_identifier":[{"subitem_degreegrantor_identifier_name":"15401","subitem_degreegrantor_identifier_scheme":"kakenhi"}]},{"subitem_degreegrantor":[{"subitem_degreegrantor_language":"en","subitem_degreegrantor_name":"Hiroshima University"}]}]},"item_1732771732025":{"attribute_name":"旧ID","attribute_value":"31748"},"item_title":"Left invariant flat projective structures on Lie groups and prehomogeneous vector spaces","item_type_id":"40003","owner":"41","path":["1730444916333"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2023-03-18"},"publish_date":"2023-03-18","publish_status":"0","recid":"2005636","relation_version_is_last":true,"title":["Left invariant flat projective structures on Lie groups and prehomogeneous vector spaces"],"weko_creator_id":"41","weko_shared_id":-1},"updated":"2025-02-20T08:59:54.352744+00:00"}