{"_buckets": {"deposit": "dbcb7c25-8b4f-4404-bcd3-78109b7ff74f"}, "_deposit": {"id": "40017", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "40017"}, "status": "published"}, "_oai": {"id": "oai:repository.dl.itc.u-tokyo.ac.jp:00040017"}, "item_4_biblio_info_7": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2013-03-15", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "4", "bibliographicPageEnd": "716", "bibliographicPageStart": "699", "bibliographicVolumeNumber": "19", "bibliographic_titles": [{"bibliographic_title": "Journal of mathematical sciences, the University of Tokyo"}]}]}, "item_4_description_5": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "In this paper, we investigate the relative Gel\u2019fand- Kalinin-Fuks cohomology groups of the formal Hamiltonian vector fields on R4. In the case of formal Hamiltonian vector fields on R2, we computed the relative Gel\u2019fand-Kalinin-Fuks cohomology groups of weight \u003c 20 in the paper by Mikami-Nakae-Kodama. The main strategy there was decomposing the Gel\u2019fand-Fucks cochain complex into irreducible factors and picking up the trivial representations and their concrete bases, and ours is essentially the same. By computer calculation, we determine the relative Gel\u2019fand-Kalinin-Fuks cohomology groups of the formal Hamiltonian vector fields on R4 of weights 2, 4 and 6. In the case of weight 2, the Betti number of the cohomology group is equal to 1 at degree 2 and is 0 at any other degree. In weight 4, the Betti number is 2 at degree 4 and is 0 at any other degree, and in weight 6, the Betti number is 0 at any degree.", "subitem_description_type": "Abstract"}]}, "item_4_publisher_20": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "Graduate School of Mathematical Sciences, The University of Tokyo"}]}, "item_4_source_id_10": {"attribute_name": "\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID", "attribute_value_mlt": [{"subitem_source_identifier": "AA11021653", "subitem_source_identifier_type": "NCID"}]}, "item_4_source_id_8": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "13405705", "subitem_source_identifier_type": "ISSN"}]}, "item_4_subject_15": {"attribute_name": "\u65e5\u672c\u5341\u9032\u5206\u985e\u6cd5", "attribute_value_mlt": [{"subitem_subject": "415", "subitem_subject_scheme": "NDC"}]}, "item_4_text_16": {"attribute_name": "Mathematical Reviews Number", "attribute_value_mlt": [{"subitem_text_value": "MR"}]}, "item_4_text_17": {"attribute_name": "Mathmatical Subject Classification", "attribute_value_mlt": [{"subitem_text_value": "57R32(MSC2010)"}, {"subitem_text_value": "57R17(MSC2010)"}, {"subitem_text_value": "17B66(MSC2010)"}]}, "item_4_text_33": {"attribute_name": "\u539f\u7a3f\u53d7\u9818\u65e5", "attribute_value_mlt": [{"subitem_text_value": "2012-09-19"}]}, "item_4_text_34": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "item_4_text_4": {"attribute_name": "\u8457\u8005\u6240\u5c5e", "attribute_value_mlt": [{"subitem_text_value": "Department of Computer Science and Engineering, Akita University"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Mikami, Kentaro"}], "nameIdentifiers": [{"nameIdentifier": "92454", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Nakae, Yasuharu"}], "nameIdentifiers": [{"nameIdentifier": "92455", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2017-06-14"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "jms190409.pdf", "filesize": [{"value": "157.3 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 157300.0, "url": {"label": "jms190409.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/40017/files/jms190409.pdf"}, "version_id": "16177885-4afa-484e-bb49-193080fac9c3"}]}, "item_language": {"attribute_name": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"resourcetype": "departmental bulletin paper", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Lower Weight Gel\u2019fand-Kalinin-Fuks Cohomology Groups of the Formal Hamiltonian Vector Fields on R4", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Lower Weight Gel\u2019fand-Kalinin-Fuks Cohomology Groups of the Formal Hamiltonian Vector Fields on R4"}]}, "item_type_id": "4", "owner": "1", "path": ["312/6865/6899/6900", "9/504/6868/6901/6902"], "permalink_uri": "http://hdl.handle.net/2261/59034", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2015-12-15"}, "publish_date": "2015-12-15", "publish_status": "0", "recid": "40017", "relation": {}, "relation_version_is_last": true, "title": ["Lower Weight Gel\u2019fand-Kalinin-Fuks Cohomology Groups of the Formal Hamiltonian Vector Fields on R4"], "weko_shared_id": null}