{"created":"2023-10-23T05:57:17.200715+00:00","id":2000064,"links":{},"metadata":{"_buckets":{"deposit":"bf0d0a78-d0ee-4bfd-973b-48e04d1e7692"},"_deposit":{"created_by":34,"id":"2000064","owner":"34","owners":[34],"pid":{"revision_id":0,"type":"depid","value":"2000064"},"status":"published"},"_oai":{"id":"oai:oist.repo.nii.ac.jp:02000064","sets":["6:209"]},"author_link":[],"control_number":"2000064","item_10001_biblio_info_7":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2023-08-19","bibliographicIssueDateType":"Issued"},"bibliographic_titles":[{"bibliographic_title":"Journal of the London Mathematical Society","bibliographic_titleLang":"en"}]}]},"item_10001_creator_3":{"attribute_name":"Author","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Ariki Susumu","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"Lyle Sinéad","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"Speyer Liron","creatorNameLang":"en"}]}]},"item_10001_description_5":{"attribute_name":"Abstract","attribute_value_mlt":[{"subitem_description":"For any algebra 𝐴 over an algebraically closed field 𝔽, we say that an 𝐴-module 𝑀 is Schurian ifEnd𝐴(𝑀) ≅ 𝔽. We say that 𝐴 is Schurian-finite if there are only finitely many isomorphism classes of Schurian 𝐴-modules, and Schurian-infinite otherwise. By work of Demonet, Iyama and Jasso, it is known that Schurian-finiteness is equivalent to 𝜏-tilting-finiteness, so thatwemay drawon a wealth of known results in the subject. We prove that for the type 𝐴 Hecke algebras with quantum characteristic 𝑒 ⩾ 3, all blocks of weight at least 2 are Schurianinfinite in any characteristic. Weight 0 and 1 blocks are known by results of Erdmann and Nakano to be representation finite, and are therefore Schurian-finite. This means that blocks oftype 𝐴 Hecke algebras (when 𝑒 ⩾ 3) are Schurian-infinite if and only if they have wild representation type if and only if the module category has finitely many wide subcategories. Along theway, we also prove a graded version of the Scopes equivalence, which is likely to be of independent interest.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10001_publisher_8":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"London Mathematical Society"},{"subitem_publisher":"Wiley"}]},"item_10001_relation_14":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isIdenticalTo","subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1112/jlms.12808","subitem_relation_type_select":"DOI"}}]},"item_10001_relation_16":{"attribute_name":"情報源","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"https://creativecommons.org/licenses/by/4.0/"}]}]},"item_10001_relation_17":{"attribute_name":"Related site","attribute_value_mlt":[{"subitem_relation_type":"isIdenticalTo","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/jlms.12808","subitem_relation_type_select":"URI"}}]},"item_10001_rights_15":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"© 2023 The Authors."}]},"item_10001_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0024-6107","subitem_source_identifier_type":"PISSN"},{"subitem_source_identifier":"1469-7750","subitem_source_identifier_type":"EISSN"}]},"item_10001_version_type_20":{"attribute_name":"Author's flag","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"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_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2023-10-23"}],"filename":"Ariki-Schurian‐finiteness of blocks of type 𝑨 Hecke algebras.pdf","filesize":[{"value":"3.8 MB"}],"licensetype":"license_0","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://oist.repo.nii.ac.jp/record/2000064/files/Ariki-Schurian‐finiteness of blocks of type 𝑨 Hecke algebras.pdf"},"version_id":"f92abcec-f86d-465d-a339-57da1ec18492"}]},"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":"Schurian‐finiteness of blocks of type 𝑨 Hecke algebras","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Schurian‐finiteness of blocks of type 𝑨 Hecke algebras","subitem_title_language":"en"}]},"item_type_id":"10001","owner":"34","path":["209"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2023-10-23"},"publish_date":"2023-10-23","publish_status":"0","recid":"2000064","relation_version_is_last":true,"title":["Schurian‐finiteness of blocks of type 𝑨 Hecke algebras"],"weko_creator_id":"34","weko_shared_id":-1},"updated":"2023-10-26T06:48:47.796809+00:00"}