{"created":"2023-07-27T06:55:29.471235+00:00","id":51459,"links":{},"metadata":{"_buckets":{"deposit":"2dc5ade2-c1d5-4a41-b5b5-324d36d9dce3"},"_deposit":{"created_by":18,"id":"51459","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"51459"},"status":"published"},"_oai":{"id":"oai:kanazawa-u.repo.nii.ac.jp:00051459","sets":["2812:2813:4085"]},"author_link":["2035","79897"],"item_9_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2022-06-08","bibliographicIssueDateType":"Issued"},"bibliographicPageStart":"7p.","bibliographicVolumeNumber":"2018-04-01 - 2022-03-31","bibliographic_titles":[{"bibliographic_title":"令和3(2021)年度 科学研究費補助金 基盤研究(C) 研究成果報告書"},{"bibliographic_title":"2021 Fiscal Year Final Research Report","bibliographic_titleLang":"en"}]}]},"item_9_creator_33":{"attribute_name":"著者別表示","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Nagoya, Hajime"}],"nameIdentifiers":[{"nameIdentifier":"79897","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"80447367","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=80447367"}]}]},"item_9_description_21":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"The purpose of this research is construction of Fourier expansions of tau functions of monodromy preserving deformation by representation theory of infinite dimensional algebras, such as Virasoro algebra. Firstly, we proved that the tau functions of the fourth and fifth Painleve equations are expressed by irregular conformal blocks using limiting precedure. Secondly, we introduce irregular vertex operators for a super Virasoro algebra and proved the decomposition of irregular Verma module of a super Virasoro algebra into an infinite sum of irregular Verma module of two Virasoro algebras. Thirdly, we gave Fourier expansions of tau functions of q-difference Painleve equations in terms of q-conformal blocks.","subitem_description_type":"Abstract"},{"subitem_description":"本研究では, モノドロミー保存変形のタウ関数のフーリエ展開を Virasoro 代数等の無限次元代数の表現論を用いて構成することが目標であった. まず, 第４，５パンルヴェ方程式のタウ関数の無限遠点における展開が不確定共形ブロックで表示されることを退化操作を用いて示した。super Virasoro 代数に対する不確定頂点作用素も導入し、super Virasoro 代数の不確定Verma加群が二つのVirasoro代数の直和に対する不確定Verma加群の無限和に分解することも示した. また, q-差分パンルヴェ方程式のタウ関数に対してもq-共形ブロックを用いた表示を与えた.","subitem_description_type":"Abstract"}]},"item_9_description_22":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"研究課題/領域番号:18K03326, 研究期間(年度):2018-04-01 - 2022-03-31","subitem_description_type":"Other"},{"subitem_description":"出典：研究課題「モノドロミー保存変形のタウ関数と無限次元代数の表現論」課題番号18K03326\n（KAKEN：科学研究費助成事業データベース（国立情報学研究所）） \n（https://kaken.nii.ac.jp/ja/report/KAKENHI-PROJECT-18K03326/18K03326seika/）を加工して作成","subitem_description_type":"Other"}]},"item_9_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_9_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.24517/00057762","subitem_identifier_reg_type":"JaLC"}]},"item_9_relation_28":{"attribute_name":"関連URI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/search/?qm=80447367"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/search/?qm=80447367","subitem_relation_type_select":"URI"}},{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18K03326/"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18K03326/","subitem_relation_type_select":"URI"}},{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/ja/report/KAKENHI-PROJECT-18K03326/18K03326seika/"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/ja/report/KAKENHI-PROJECT-18K03326/18K03326seika/","subitem_relation_type_select":"URI"}}]},"item_9_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":"名古屋, 創"}],"nameIdentifiers":[{"nameIdentifier":"2035","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"80447367","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=80447367"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2023-02-03"}],"displaytype":"detail","filename":"SC-PR-NAGOYA-H-kaken 2022-7p.pdf","filesize":[{"value":"164.4 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"SC-PR-NAGOYA-H-kaken 2022-7p.pdf","url":"https://kanazawa-u.repo.nii.ac.jp/record/51459/files/SC-PR-NAGOYA-H-kaken 2022-7p.pdf"},"version_id":"3c204abb-c708-4d74-a193-9dbb7188d951"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"research report","resourceuri":"http://purl.org/coar/resource_type/c_18ws"}]},"item_title":"モノドロミー保存変形のタウ関数と無限次元代数の表現論","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"モノドロミー保存変形のタウ関数と無限次元代数の表現論"},{"subitem_title":"Isomonodromic tau-functions and representation theory of infinite dimensional algebras","subitem_title_language":"en"}]},"item_type_id":"9","owner":"18","path":["4085"],"pubdate":{"attribute_name":"公開日","attribute_value":"2023-02-03"},"publish_date":"2023-02-03","publish_status":"0","recid":"51459","relation_version_is_last":true,"title":["モノドロミー保存変形のタウ関数と無限次元代数の表現論"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2024-07-01T05:15:57.153940+00:00"}