{"created":"2021-03-01T06:43:51.175197+00:00","id":8446,"links":{},"metadata":{"_buckets":{"deposit":"86c0dadc-94ba-407d-b9a6-27cc880ae3fa"},"_deposit":{"id":"8446","owners":[],"pid":{"revision_id":0,"type":"depid","value":"8446"},"status":"published"},"_oai":{"id":"oai:tsukuba.repo.nii.ac.jp:00008446","sets":["3:233:254"]},"author_link":["35007"],"item_12_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1982","bibliographicIssueDateType":"Issued"}}]},"item_12_date_granted_46":{"attribute_name":"学位授与年月日","attribute_value_mlt":[{"subitem_dategranted":"1982-03-25"}]},"item_12_degree_grantor_44":{"attribute_name":"学位授与大学","attribute_value_mlt":[{"subitem_degreegrantor":[{"subitem_degreegrantor_language":"ja","subitem_degreegrantor_name":"筑波大学"},{"subitem_degreegrantor_language":"en","subitem_degreegrantor_name":"University of Tsukuba"}],"subitem_degreegrantor_identifier":[{"subitem_degreegrantor_identifier_name":"12102","subitem_degreegrantor_identifier_scheme":"kakenhi"}]}]},"item_12_degree_name_43":{"attribute_name":"取得学位","attribute_value_mlt":[{"subitem_degreename":"博士（理学）"},{"subitem_degreename":"Doctor of Philosophy in Science"}]},"item_12_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"複素半単純リー環およびそれに対応する半単純リー群の研究は19世紀末に、Cartan,Killingによる分類が完成して以来、理論の再構成や一般化などの多くの研究がなされてきている。1968年、KacとMoodyは、カルタン行列から複素半単純リー環を構成するSerreの方法を拡張して、一般化されたカルタン行列からリー環を構成した。これらは、現在Kac-Moodyリー環と呼ばれ、有限次元とは限らないリー環であるが、整教論、微分方程式など広い分野への応用が発見され、数年来、活発に研究されている。一方、1955年Cheralleyは複素半単純リー環に対応して、半単純代数群を構成したが、これらはアフィン群スキームの概念に発展し、特種線形群、直交群などを含む可換環上の群として、整教論、代数幾何学などと関連して重要な研究対象となっている。森田氏は本論文で、Kac-Moodyリー環の構造を研究するとともに、複素半単純リー環に対応するChevalley群と類似の群をKac-Moodyリー環に対して考察し、次の結果を得ている。･･･","subitem_description_language":"ja","subitem_description_type":"Abstract"}]},"item_12_description_45":{"attribute_name":"学位授与年度","attribute_value_mlt":[{"subitem_description":"1981","subitem_description_type":"Other"}]},"item_12_description_5":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"この博士論文は内容の要約のみ公表しています","subitem_description_language":"ja","subitem_description_type":"Other"}]},"item_12_dissertation_number_47":{"attribute_name":"報告番号","attribute_value_mlt":[{"subitem_dissertationnumber":"甲第133号"}]},"item_12_relation_37":{"attribute_name":"関係URI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_language":"ja","subitem_relation_name_text":"OPACに要約あり"}],"subitem_relation_type":"hasFormat","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://www.tulips.tsukuba.ac.jp/opac/volume/512207","subitem_relation_type_select":"URI"}}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"森田, 純","creatorNameLang":"ja"},{"creatorName":"Morita, Jun","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"35007","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2013-12-18"}],"displaytype":"detail","filename":"A0133.pdf","filesize":[{"value":"146.7 kB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"objectType":"abstract","url":"https://tsukuba.repo.nii.ac.jp/record/8446/files/A0133.pdf"},"version_id":"97f4bf2f-c0d8-44d4-8581-b7bf463aa6a7"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"doctoral thesis","resourceuri":"http://purl.org/coar/resource_type/c_db06"}]},"item_title":"Kac-Moody Lie algebras and associated groups","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Kac-Moody Lie algebras and associated groups","subitem_title_language":"en"}]},"item_type_id":"12","owner":"1","path":["254"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2007-07-25"},"publish_date":"2007-07-25","publish_status":"0","recid":"8446","relation_version_is_last":true,"title":["Kac-Moody Lie algebras and associated groups"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-05-01T07:53:04.196314+00:00"}