{"created":"2021-03-01T07:10:07.185830+00:00","id":49253,"links":{},"metadata":{"_buckets":{"deposit":"5afd4d00-b44a-4a38-bba3-7b264777cf63"},"_deposit":{"id":"49253","owners":[],"pid":{"revision_id":0,"type":"depid","value":"49253"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00049253","sets":["312:6865:7726:7730","9:504:6868:7728:7731"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2017-03-21","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"270","bibliographicPageStart":"259","bibliographicVolumeNumber":"24","bibliographic_titles":[{"bibliographic_title":"Journal of Mathematical Sciences The University of Tokyo"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In their 1987 paper Kra\\'skiewicz and Pragacz defined certain modules $\\smod_w$ ($w \\in S_\\infty$), which we call KP modules, over the upper triangular Lie algebra whose characters are Schubert polynomials. In a previous work the author showed that the tensor product of KP modules always has a KP filtration, i.e. a filtration whose each successive quotients are isomorphic to KP modules. In this paper we explicitly construct such filtrations for certain special cases of these tensor product modules, namely $\\smod_w \\otimes S^d(K^i)$ and $\\smod_w \\otimes \\bigwedge^d(K^i)$, corresponding to Pieri and dual Pieri rules for Schubert polynomials.","subitem_description_type":"Abstract"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_4_select_14":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"publisher"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11021653","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13405705","subitem_source_identifier_type":"ISSN"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"05E05(MSC2010)"},{"subitem_text_value":"05E10(MSC2010)"},{"subitem_text_value":"17B30(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2016-10-03"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Watanabe, Masaki"}],"nameIdentifiers":[{"nameIdentifier":"146133","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":"2018-04-04"}],"displaytype":"detail","filename":"jms240204.pdf","filesize":[{"value":"140.8 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms240204.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/49253/files/jms240204.pdf"},"version_id":"8fa87b5d-59f3-41eb-bdfe-6aa91646182d"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Schubert polynomials","subitem_subject_scheme":"Other"},{"subitem_subject":"Kra\\'skiewicz-Pragacz modules","subitem_subject_scheme":"Other"}]},"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":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Kraśkiewicz-Pragacz Modules and Pieri and Dual Pieri Rules for Schubert Polynomials","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Kraśkiewicz-Pragacz Modules and Pieri and Dual Pieri Rules for Schubert Polynomials"}]},"item_type_id":"4","owner":"1","path":["7730","7731"],"pubdate":{"attribute_name":"公開日","attribute_value":"2018-04-04"},"publish_date":"2018-04-04","publish_status":"0","recid":"49253","relation_version_is_last":true,"title":["Kraśkiewicz-Pragacz Modules and Pieri and Dual Pieri Rules for Schubert Polynomials"],"weko_creator_id":"1","weko_shared_id":2},"updated":"2022-12-19T04:24:03.661418+00:00"}