{"created":"2021-03-01T07:07:41.427192+00:00","id":29221,"links":{},"metadata":{"_buckets":{"deposit":"4a484b25-72dc-4cc5-830d-b4a06c2a5673"},"_deposit":{"created_by":188,"id":"29221","owners":[188],"pid":{"revision_id":0,"type":"depid","value":"29221"},"status":"published"},"_oai":{"id":"oai:tsukuba.repo.nii.ac.jp:00029221","sets":["117:478","3:2651:2655"]},"author_link":["123"],"item_8_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2013-08-16","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"17","bibliographicPageStart":"1"}]},"item_8_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Weil prolongations of a Lie group are naturally Lie groups. It is not known in the theory of infinite-dimensional Lie groups how to construct a Lie group with a given Lie algebra as its Lie algebra or whether there exists such a Lie group at all. We will show in this paper how to construct some Weil prolongations of this mythical Lie group from a given Lie algebra. We will do so within our favorite framework of synthetic differential geometry.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"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":"西村, 泰一","creatorNameLang":"ja"},{"creatorName":"ニシムラ, ヒロカズ","creatorNameLang":"ja-Kana"},{"creatorName":"NISHIMURA, Hirokazu","creatorNameLang":"en"}],"nameIdentifiers":[{},{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2013-12-25"}],"displaytype":"detail","filename":"1307.5520v4.pdf","filesize":[{"value":"158.1 kB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://tsukuba.repo.nii.ac.jp/record/29221/files/1307.5520v4.pdf"},"version_id":"93d58cfb-e101-4038-8867-63e26a561240"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"other","resourceuri":"http://purl.org/coar/resource_type/c_1843"}]},"item_title":"From Lie Algebras to Lie Groups within Synthetic Differential Geometry:Weil Sprouts of Lie's Third Fundamental Theorem","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"From Lie Algebras to Lie Groups within Synthetic Differential Geometry:Weil Sprouts of Lie's Third Fundamental Theorem","subitem_title_language":"en"}]},"item_type_id":"8","owner":"188","path":["478","2655"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2013-07-23"},"publish_date":"2013-07-23","publish_status":"0","recid":"29221","relation_version_is_last":true,"title":["From Lie Algebras to Lie Groups within Synthetic Differential Geometry:Weil Sprouts of Lie's Third Fundamental Theorem"],"weko_creator_id":"188","weko_shared_id":-1},"updated":"2024-03-22T05:07:51.862309+00:00"}