{"created":"2023-06-19T10:29:10.905589+00:00","id":8895,"links":{},"metadata":{"_buckets":{"deposit":"b86b9452-3bb8-4650-8cb4-5f13aed59834"},"_deposit":{"created_by":18,"id":"8895","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"8895"},"status":"published"},"_oai":{"id":"oai:muroran-it.repo.nii.ac.jp:00008895","sets":["216:302","46"]},"author_link":["18135"],"item_79_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2014-07-15","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"147","bibliographicPageStart":"85","bibliographicVolumeNumber":"410","bibliographic_titles":[{"bibliographic_title":"Journal of Algebra","bibliographic_titleLang":"en"}]}]},"item_79_description_23":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_79_description_7":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In the theory of canonical induction formulae for Mackey functors, Boltje demonstrated that the plus constructions, together with the mark morphism, are useful for the study of canonical versions of induction theorems analogous to those in representation theory of finite groups. In this paper, we present a short exact sequence for the plus constructions derived from Cauchy–Frobenius lemma, and apply it to the proof of Boltje's integrality result for canonical induction formulae. The methods appearing in Boltje's theory, combined with the Dress construction for Mackey functors, are applicable to induction theorems on representations of the twisted quantum double of a finite group. As a sequel to such a research, we describe canonical versions of two induction theorems whose origins are Artin's induction theorem and Brauer's induction theorem on C-characters of a finite group.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_79_link_17":{"attribute_name":"出版者版へのリンク","attribute_value_mlt":[{"subitem_link_text":"10.1016/j.jalgebra.2014.03.017","subitem_link_url":"https://doi.org/10.1016/j.jalgebra.2014.03.017"}]},"item_79_link_5":{"attribute_name":"室蘭工業大学研究者データベースへのリンク","attribute_value_mlt":[{"subitem_link_text":"竹ケ原 裕元（TAKEGAHARA Yugen）","subitem_link_url":"http://rdsoran.muroran-it.ac.jp/html/100000217_ja.html"}]},"item_79_publisher_11":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Elsevier","subitem_publisher_language":"en"}]},"item_79_relation_18":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1016/j.jalgebra.2014.03.017","subitem_relation_type_select":"DOI"}}]},"item_79_rights_19":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2014. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/","subitem_rights_language":"en"}]},"item_79_source_id_12":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0021-8693","subitem_source_identifier_type":"PISSN"},{"subitem_source_identifier":"1090-266X","subitem_source_identifier_type":"EISSN"}]},"item_79_source_id_14":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00692420","subitem_source_identifier_type":"NCID"},{"subitem_source_identifier":"AA11541904","subitem_source_identifier_type":"NCID"}]},"item_79_subject_9":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"411","subitem_subject_scheme":"NDC"}]},"item_79_version_type_21":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"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":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[{}],"affiliationNames":[{},{}]}],"creatorNames":[{"creatorName":"TAKEGAHARA,  Yugen","creatorNameLang":"en"},{"creatorName":"竹ケ原, 裕元","creatorNameLang":"ja"},{"creatorName":"タケガハラ, ユウゲン","creatorNameLang":"ja-Kana"}],"familyNames":[{},{},{}],"givenNames":[{},{},{}],"nameIdentifiers":[{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2016-08-01"}],"displaytype":"detail","filename":"JOA_410_85-147.pdf","filesize":[{"value":"503.1 kB"}],"format":"application/pdf","licensetype":"license_5","mimetype":"application/pdf","url":{"label":"JOA_410_85-147.pdf","objectType":"fulltext","url":"https://muroran-it.repo.nii.ac.jp/record/8895/files/JOA_410_85-147.pdf"},"version_id":"a5a70a23-dab3-4916-a4c4-d91b84b5a8f1"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Brauer's induction theorem","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Burnside ring","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Green functor","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Representation ring","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Mackey functor","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Plus construction","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Twin functor","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Twisted group algebra","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Twisted quantum double","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"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":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Induction formulae for Mackey functors with applications to representations of the twisted quantum double of a finite group","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Induction formulae for Mackey functors with applications to representations of the twisted quantum double of a finite group","subitem_title_language":"en"}]},"item_type_id":"79","owner":"18","path":["46","302"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2016-05-16"},"publish_date":"2016-05-16","publish_status":"0","recid":"8895","relation_version_is_last":true,"title":["Induction formulae for Mackey functors with applications to representations of the twisted quantum double of a finite group"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2023-10-23T08:57:39.987266+00:00"}