{"_buckets": {"deposit": "d86e3568-aa5f-48f7-a801-9768637d36ca"}, "_deposit": {"id": "12051", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "12051"}, "status": "published"}, "_oai": {"id": "oai:soar-ir.repo.nii.ac.jp:00012051", "sets": []}, "author_link": ["36926"], "item_10_biblio_info_6": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "1997-03-29", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "2", "bibliographicPageEnd": "70", "bibliographicPageStart": "59", "bibliographicVolumeNumber": "31", "bibliographic_titles": [{"bibliographic_title": "信州大学理学部紀要"}]}]}, "item_10_description_20": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "In our previous paper ([1]), vector analysis on a Sobolev space Wk(X) was investigated and the possibility to give a geometric example of Kerner\u0027s higher gauge theory ([6],[7]) was discussed. In this paper, we give a simple example of geometric space on which the exterior derivation is not nilpotent but its n-th power vanishes (n≧3), by using suitable subspace of (∞-p)-forms. This provides a geometric example of Kerner\u0027s higher gauge theory. To discuss its algebraic counter part, we also treat Clifford algebra on Wk(X) with infinite degree spinors.", "subitem_description_type": "Abstract"}]}, "item_10_description_30": {"attribute_name": "資源タイプ（コンテンツの種類）", "attribute_value_mlt": [{"subitem_description": "Article", "subitem_description_type": "Other"}]}, "item_10_description_31": {"attribute_name": "フォーマット：mimeタイプ", "attribute_value_mlt": [{"subitem_description": "application/pdf", "subitem_description_type": "Other"}]}, "item_10_description_5": {"attribute_name": "引用", "attribute_value_mlt": [{"subitem_description": "信州大学理学部紀要 31(2): 59-70(1997)", "subitem_description_type": "Other"}]}, "item_10_publisher_4": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "信州大学理学部"}]}, "item_10_select_64": {"attribute_name": "著者版フラグ", "attribute_value_mlt": [{"subitem_select_item": "publisher"}]}, "item_10_source_id_35": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0583-063X", "subitem_source_identifier_type": "PISSN"}]}, "item_10_source_id_39": {"attribute_name": "NII ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0583-063X", "subitem_source_identifier_type": "PISSN"}]}, "item_10_source_id_40": {"attribute_name": "書誌レコードID", "attribute_value_mlt": [{"subitem_source_identifier": "AA00697923", "subitem_source_identifier_type": "NCID"}]}, "item_10_text_66": {"attribute_name": "sortkey", "attribute_value_mlt": [{"subitem_text_value": "02"}]}, "item_1627890569677": {"attribute_name": "出版タイプ", "attribute_value_mlt": [{"subitem_version_resource": "http://purl.org/coar/version/c_970fb48d4fbd8a85", "subitem_version_type": "VoR"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "ASADA,  Akira", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "36926", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "ファイル情報", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2015-09-28"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "Science31-02-02.pdf", "filesize": [{"value": "450.7 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 450700.0, "url": {"label": "Science31-02-02.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/12051/files/Science31-02-02.pdf"}, "version_id": "3475dec5-4337-4528-8142-2b868382f22b"}]}, "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": "departmental bulletin paper", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Vector Analysis on Sobolev Spaces, II", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Vector Analysis on Sobolev Spaces, II", "subitem_title_language": "en"}]}, "item_type_id": "10", "owner": "1", "path": ["1188"], "permalink_uri": "http://hdl.handle.net/10091/10643", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2010-10-06"}, "publish_date": "2010-10-06", "publish_status": "0", "recid": "12051", "relation": {}, "relation_version_is_last": true, "title": ["Vector Analysis on Sobolev Spaces, II"], "weko_shared_id": -1}