{"created":"2023-07-27T06:26:36.636999+00:00","id":10400,"links":{},"metadata":{"_buckets":{"deposit":"8ac05fe0-5332-4452-9471-68f04e3fc65d"},"_deposit":{"created_by":3,"id":"10400","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"10400"},"status":"published"},"_oai":{"id":"oai:kanazawa-u.repo.nii.ac.jp:00010400","sets":["934:935:937"]},"author_link":["58","15735","15736","58"],"control_number":"10400","item_4_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2011-10-15","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"8","bibliographicPageEnd":"1884","bibliographicPageStart":"1857","bibliographicVolumeNumber":"435","bibliographic_titles":[{"bibliographic_title":"Linear Algebra and Its Applications"}]}]},"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 F denote a field and let V denote a vector space over F with finite positive dimension. We consider a pair of linear transformations A : V → V and A* : V → V that satisfy the following conditions: (i) each of A, A* is diagonalizable; (ii) there exists an ordering {Vi}i = 0d of the eigenspaces of A such that A* Vi ⊆ Vi - 1 + Vi + Vi + 1 for 0 ≤ i ≤ d, where V- 1 = 0 and Vd + 1 = 0; (iii) there exists an ordering {Vi*}i = 0δ of the eigenspaces of A* such that AVi* ⊆ Vi - 1* + Vi* + Vi + 1* for 0 ≤ i ≤ δ, where V- 1* = 0 and Vδ + 1* = 0; (iv) there is no subspace W of V such that AW ⊆ W, A* W ⊆ W, W ≠ 0, W ≠ V. We call such a pair a tridiagonal pair on V. It is known that d = δ and for 0 ≤ i ≤ d the dimensions of Vi, Vd - i, Vi*, Vd - i* coincide. The pair A, A* is called sharp whenever dim V0 = 1. It is known that if F is algebraically closed then A, A* is sharp. In this paper we classify up to isomorphism the sharp tridiagonal pairs. As a corollary, we classify up to isomorphism the tridiagonal pairs over an algebraically closed field. We obtain these classifications by proving the μ-conjecture. © 2011 Elsevier Inc. All rights reserved.","subitem_description_type":"Abstract"}]},"item_4_description_5":{"attribute_name":"提供者所属","attribute_value_mlt":[{"subitem_description":"金沢大学理工研究域数物科学系","subitem_description_type":"Other"}]},"item_4_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.24517/00010387","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/00243795","subitem_relation_type_select":"URI"}},{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1016/j.laa.2011.03.032","subitem_relation_type_select":"DOI"}}]},"item_4_source_id_11":{"attribute_name":"NCID","attribute_value_mlt":[{"subitem_source_identifier":"AA00717292","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0024-3795","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":"Nomura, Kazumasa"}],"nameIdentifiers":[{"nameIdentifier":"15735","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Terwilligerc, Paul"}],"nameIdentifiers":[{"nameIdentifier":"15736","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-PR-ITO-T-1857.pdf","filesize":[{"value":"307.2 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"SC-PR-ITO-T-1857.pdf","url":"https://kanazawa-u.repo.nii.ac.jp/record/10400/files/SC-PR-ITO-T-1857.pdf"},"version_id":"c1ae7b17-447c-4bf9-8ac8-c5a54ebec68e"}]},"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":"A classification of sharp tridiagonal pairs","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"A classification of sharp tridiagonal pairs","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":"10400","relation_version_is_last":true,"title":["A classification of sharp tridiagonal pairs"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2024-07-25T05:40:05.660525+00:00"}