{"_buckets": {"deposit": "bac624ce-df55-49df-8262-c3c3459dda69"}, "_deposit": {"id": "15853", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "15853"}, "status": "published"}, "_oai": {"id": "oai:soar-ir.repo.nii.ac.jp:00015853", "sets": ["1544:1545"]}, "item_6_biblio_info_6": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2010-08", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "4", "bibliographicPageEnd": "465", "bibliographicPageStart": "445", "bibliographicVolumeNumber": "13", "bibliographic_titles": [{"bibliographic_title": "ALGEBRAS AND REPRESENTATION THEORY"}]}]}, "item_6_description_20": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "Let k be an algebraically closed field of characteristic p. We shall discuss the cohomology algebras of a block ideal B of the group algebra kG of a finite group G and a block ideal C of the block ideal of kH of a subgroup H of G which are in Brauer correspondence and have a common defect group, continuing (Kawai and Sasaki, Algebr Represent Theory 9(5):497-511, 2006). We shall define a (B,C)-bimodule L. The k-dual L (*) induces the transfer map between the Hochschild cohomology algebras of B and C, which restricts to the inclusion map of the cohomology algebras of B into that of C under some condition. Moreover the module L induces a kind of refinement of Green correspondence between indecomposable modules lying in the blocks B and C; the block varieties of modules lying in B and C which are in Green correspondence will also be discussed.", "subitem_description_type": "Abstract"}]}, "item_6_description_30": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7\uff08\u30b3\u30f3\u30c6\u30f3\u30c4\u306e\u7a2e\u985e\uff09", "attribute_value_mlt": [{"subitem_description": "Article", "subitem_description_type": "Other"}]}, "item_6_description_5": {"attribute_name": "\u5f15\u7528", "attribute_value_mlt": [{"subitem_description": "ALGEBRAS AND REPRESENTATION THEORY. 13(4):445-465 (2010)", "subitem_description_type": "Other"}]}, "item_6_link_3": {"attribute_name": "\u4fe1\u5dde\u5927\u5b66\u7814\u7a76\u8005\u7dcf\u89a7\u3078\u306e\u30ea\u30f3\u30af", "attribute_value_mlt": [{"subitem_link_text": "Sasaki, Hiroki", "subitem_link_url": "http://soar-rd.shinshu-u.ac.jp/profile/ja.gNypyVSp.html"}]}, "item_6_link_67": {"attribute_name": "WoS", "attribute_value_mlt": [{"subitem_link_text": "Web of Science", "subitem_link_url": "http://gateway.isiknowledge.com/gateway/Gateway.cgi?\u0026GWVersion=2\u0026SrcAuth=ShinshuUniv\u0026SrcApp=ShinshuUniv\u0026DestLinkType=FullRecord\u0026DestApp=WOS\u0026KeyUT=000279127300004"}]}, "item_6_publisher_4": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "SPRINGER"}]}, "item_6_relation_48": {"attribute_name": "DOI", "attribute_value_mlt": [{"subitem_relation_name": [{"subitem_relation_name_text": "10.1007/s10468-009-9131-z"}], "subitem_relation_type_id": {"subitem_relation_type_id_text": "http://dx.doi.org/10.1007/s10468-009-9131-z", "subitem_relation_type_select": "DOI"}}]}, "item_6_rights_62": {"attribute_name": "\u6a29\u5229", "attribute_value_mlt": [{"subitem_rights": "The final publication is available at www.springerlink.com"}]}, "item_6_select_64": {"attribute_name": "\u8457\u8005\u7248\u30d5\u30e9\u30b0", "attribute_value_mlt": [{"subitem_select_item": "author"}]}, "item_6_source_id_35": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "1386-923X", "subitem_source_identifier_type": "ISSN"}]}, "item_6_source_id_39": {"attribute_name": "NII ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "1386-923X", "subitem_source_identifier_type": "ISSN"}]}, "item_6_source_id_40": {"attribute_name": "\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID", "attribute_value_mlt": [{"subitem_source_identifier": "AA11256919", "subitem_source_identifier_type": "NCID"}]}, "item_6_text_69": {"attribute_name": "wosonly authkey", "attribute_value_mlt": [{"subitem_text_value": "Finite group; Block; Source modules; Brauer correspondence; Green correspondence; Hochschild cohomology; Block cohomology; Block variety"}]}, "item_6_textarea_68": {"attribute_name": "wosonly abstract", "attribute_value_mlt": [{"subitem_textarea_value": "Let k be an algebraically closed field of characteristic p. We shall discuss the cohomology algebras of a block ideal B of the group algebra kG of a finite group G and a block ideal C of the block ideal of kH of a subgroup H of G which are in Brauer correspondence and have a common defect group, continuing (Kawai and Sasaki, Algebr Represent Theory 9(5):497-511, 2006). We shall define a (B,C)-bimodule L. The k-dual L (*) induces the transfer map between the Hochschild cohomology algebras of B and C, which restricts to the inclusion map of the cohomology algebras of B into that of C under some condition. Moreover the module L induces a kind of refinement of Green correspondence between indecomposable modules lying in the blocks B and C; the block varieties of modules lying in B and C which are in Green correspondence will also be discussed."}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Sasaki,  Hiroki"}], "nameIdentifiers": [{"nameIdentifier": "45901", "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": "2015-09-28"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "cohomology-BrauerII.pdf", "filesize": [{"value": "161.7 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 161700.0, "url": {"label": "cohomology-BrauerII.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/15853/files/cohomology-BrauerII.pdf"}, "version_id": "13f2cda7-7897-4207-b9ea-6ef9c2efcf6e"}]}, "item_keyword": {"attribute_name": "\u30ad\u30fc\u30ef\u30fc\u30c9", "attribute_value_mlt": [{"subitem_subject": "Finite group", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Block", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Source modules", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Brauer correspondence", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Green correspondence", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Hochschild cohomology", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Block cohomology", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Block variety", "subitem_subject_scheme": "Other"}]}, "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": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Cohomology Algebras of Blocks of Finite Groups and Brauer Correspondence II", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Cohomology Algebras of Blocks of Finite Groups and Brauer Correspondence II"}]}, "item_type_id": "6", "owner": "1", "path": ["1544/1545"], "permalink_uri": "http://hdl.handle.net/10091/16145", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2012-12-19"}, "publish_date": "2012-12-19", "publish_status": "0", "recid": "15853", "relation": {}, "relation_version_is_last": true, "title": ["Cohomology Algebras of Blocks of Finite Groups and Brauer Correspondence II"], "weko_shared_id": null}