{"created":"2023-07-27T06:26:28.511718+00:00","id":10203,"links":{},"metadata":{"_buckets":{"deposit":"f1c7f705-51f9-463a-972a-282ff78f303a"},"_deposit":{"created_by":3,"id":"10203","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"10203"},"status":"published"},"_oai":{"id":"oai:kanazawa-u.repo.nii.ac.jp:00010203","sets":["934:935:937"]},"author_link":["58","15224","58"],"control_number":"10203","item_4_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2004-04-01","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1-3","bibliographicPageEnd":"160","bibliographicPageStart":"145","bibliographicVolumeNumber":"188","bibliographic_titles":[{"bibliographic_title":"Journal of Pure and Applied Algebra"}]}]},"item_4_creator_33":{"attribute_name":"著者別表示","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"伊藤, 達郎"}],"nameIdentifiers":[{"nameIdentifier":"58","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"90015909","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=90015909"},{"nameIdentifier":"90015909","nameIdentifierScheme":"研究者番号","nameIdentifierURI":"https://nrid.nii.ac.jp/nrid/1000090015909"}]}]},"item_4_description_21":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Let denote an algebraically closed field with characteristic 0. Let V denote a vector space over with finite positive dimension and let A,A* denote a tridiagonal pair on V. We make an assumption about this pair. Let q denote a nonzero scalar in that is not a root of unity. We assume A and A* satisfy the q-Serre relations A3A*−[3]A2A*A+[3]AA*A2−A*A3=0, A*3A−[3]A*2AA*+[3]A*AA*2−AA*3=0, where [3]=(q3−q−3)/(q−q−1). Let (ρ0,ρ1,…,ρd) denote the shape vector for A,A*. We show the entries in this shape vector are bounded above by binomial coefficients as follows: We obtain this result by displaying a spanning set for V. Mathematical subject codes: Primary: 17B37; secondary: 05E35; 15A21; 33C45; 33D45","subitem_description_type":"Abstract"}]},"item_4_description_5":{"attribute_name":"提供者所属","attribute_value_mlt":[{"subitem_description":"金沢大学理学部","subitem_description_type":"Other"}]},"item_4_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.24517/00010190","subitem_identifier_reg_type":"JaLC"}]},"item_4_publisher_17":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Elsevier"}]},"item_4_relation_28":{"attribute_name":"関連URI","attribute_value_mlt":[{"subitem_relation_type":"isIdenticalTo","subitem_relation_type_id":{"subitem_relation_type_id_text":"http://www.elsevier.com/locate/issn/00224049","subitem_relation_type_select":"URI"}},{"subitem_relation_type":"isIdenticalTo","subitem_relation_type_id":{"subitem_relation_type_id_text":"http://www.sciencedirect.com/science/journal/00224049","subitem_relation_type_select":"URI"}},{"subitem_relation_type":"isIdenticalTo","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1016/j.jpaa.2003.10.002","subitem_relation_type_select":"DOI"}}]},"item_4_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0022-4049","subitem_source_identifier_type":"ISSN"}]},"item_4_version_type_25":{"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_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Ito, Tatsuro"}],"nameIdentifiers":[{"nameIdentifier":"58","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"90015909","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=90015909"},{"nameIdentifier":"90015909","nameIdentifierScheme":"研究者番号","nameIdentifierURI":"https://nrid.nii.ac.jp/nrid/1000090015909"}]},{"creatorNames":[{"creatorName":"Terwilliger, Paul"}],"nameIdentifiers":[{"nameIdentifier":"15224","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":"2017-10-03"}],"displaytype":"detail","filename":"SC-ITO-T-shape3.pdf","filesize":[{"value":"176.6 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"SC-ITO-T-shape3.pdf","url":"https://kanazawa-u.repo.nii.ac.jp/record/10203/files/SC-ITO-T-shape3.pdf"},"version_id":"ac88ddb2-48b4-48ca-9d2f-8c14aa49dad0"}]},"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":"The shape of a tridiagonal pair","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"The shape of a tridiagonal pair","subitem_title_language":"en"}]},"item_type_id":"4","owner":"3","path":["937"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2017-10-03"},"publish_date":"2017-10-03","publish_status":"0","recid":"10203","relation_version_is_last":true,"title":["The shape of a tridiagonal pair"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2024-07-25T02:13:39.246115+00:00"}