{"created":"2023-06-20T16:48:37.352968+00:00","id":20615,"links":{},"metadata":{"_buckets":{"deposit":"aad8b04d-0d81-49f4-9e6f-8d4eba048df3"},"_deposit":{"created_by":3,"id":"20615","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"20615"},"status":"published"},"_oai":{"id":"oai:kindai.repo.nii.ac.jp:00020615","sets":["14:2667:4550"]},"author_link":["33446","43121"],"control_number":"20615","item_8_biblio_info_21":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"4","bibliographicPageStart":"1","bibliographic_titles":[{"bibliographic_title":"科学研究費助成事業研究成果報告書 (2018)"}]}]},"item_8_description_25":{"attribute_name":"リンクURL","attribute_value_mlt":[{"subitem_description":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15K04911/","subitem_description_type":"Other"}]},"item_8_description_33":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"研究成果の概要（和文）：最近，パンルヴェ方程式の高階化の研究が微分と差分の両面から活発に行われているが，方程式がどれだけ存在するのかという分類問題や，どの超幾何函数がどのパンルヴェ方程式の特殊解として現れるかという問題については，まだ明らかにされていないことが多い．本研究では，クラスター代数の理論を利用して，ある可約な拡大アフィン・ワイル群の双有理表現を定式化することに成功した．この群の平行移動変換からは，既存の高階q-差分パンルヴェ方程式のうちq-超幾何函数を特殊解として含むものが導かれる．研究成果の概要（英文）：Recently higher order generalizations of the Painleve equations are proposed both on continuous side and on discrete side. However we haven't clarified yet a classification of equations or a relationship with hypergeometric functions. In this work we have formulated birational representations of a reducible extended affine Weyl group with the aid of cluster mutations. Translations of this group provide the known higher order q-Painleve equations containing the q-hypergeometric functions as particular solutions.","subitem_description_type":"Abstract"}]},"item_8_description_36":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"研究種目：基盤研究(C);  研究期間：2015～2018;   課題番号：15K04911;   研究分野：可積分系;   科研費の分科・細目：","subitem_description_type":"Other"}]},"item_8_description_37":{"attribute_name":"資源タイプ(WEKO2)","attribute_value_mlt":[{"subitem_description":"Research Paper","subitem_description_type":"Other"}]},"item_8_description_41":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_8_publisher_14":{"attribute_name":"出版者 名前","attribute_value_mlt":[{"subitem_publisher":"近畿大学"}]},"item_8_text_10":{"attribute_name":"著者 役割","attribute_value_mlt":[{"subitem_text_value":"研究代表者"},{"subitem_text_value":"研究協力者"}]},"item_8_text_7":{"attribute_name":"著者(英)","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"SUZUKI, Takao"},{"subitem_text_language":"en","subitem_text_value":"Okubo, Naoto"}]},"item_8_text_8":{"attribute_name":"著者 所属","attribute_value_mlt":[{"subitem_text_value":"近畿大学理工学部; 准教授"},{"subitem_text_value":"青山学院大"}]},"item_8_text_9":{"attribute_name":"著者所属(翻訳)","attribute_value_mlt":[{"subitem_text_value":"Kindai University"}]},"item_8_version_type_12":{"attribute_name":"版","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_be7fb7dd8ff6fe43","subitem_version_type":"NA"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"鈴木, 貴雄"},{"creatorName":"スズキ, タカオ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{},{}]},{"creatorNames":[{"creatorName":"大久保, 直人"},{"creatorName":"オオクボ, ナオト","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-03-12"}],"displaytype":"detail","filename":"15K04911seika.pdf","filesize":[{"value":"186.6 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"15K04911seika.pdf","url":"https://kindai.repo.nii.ac.jp/record/20615/files/15K04911seika.pdf"},"version_id":"7b7129ff-6c4d-4320-8281-9af890f3a120"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"パンルヴェ方程式","subitem_subject_scheme":"Other"},{"subitem_subject":"離散可積分系","subitem_subject_scheme":"Other"},{"subitem_subject":"リー代数","subitem_subject_scheme":"Other"},{"subitem_subject":"クラスター代数","subitem_subject_scheme":"Other"},{"subitem_subject":"ワイル群","subitem_subject_scheme":"Other"},{"subitem_subject":"超幾何函数","subitem_subject_scheme":"Other"}]},"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":"高階パンルヴェ方程式及びリジッド方程式の差分化","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"高階パンルヴェ方程式及びリジッド方程式の差分化","subitem_title_language":"ja"},{"subitem_title":"Discretization of higher order Painleve system and rigid system","subitem_title_language":"en"}]},"item_type_id":"8","owner":"3","path":["4550"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2020-03-12"},"publish_date":"2020-03-12","publish_status":"0","recid":"20615","relation_version_is_last":true,"title":["高階パンルヴェ方程式及びリジッド方程式の差分化"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2023-09-15T01:11:42.315907+00:00"}