{"created":"2021-03-01T06:59:59.099592+00:00","id":40372,"links":{},"metadata":{"_buckets":{"deposit":"09e6b499-83a2-40ae-9677-80a7c1c88f9d"},"_deposit":{"id":"40372","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40372"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040372","sets":["312:6865:7071:7075","9:504:6868:7073:7076"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1994","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"469","bibliographicPageStart":"461","bibliographicVolumeNumber":"1","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_13":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In this article, we show that max$\\{c^-(w);w \\in \\frak S_n\\} = [n^2/4]$, where $c^-(w)$ is the number of elements covered by $w \\in \\frak S_n$ in the Bruhat order. Using this result, we can see that the maximum value of the first coefficients of Kazhdan-Lusztig polynomials for $\\frak S_n$ equals $[n^2/4]- n + 1$.","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_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_subject_15":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"415","subitem_subject_scheme":"NDC"}]},"item_4_text_16":{"attribute_name":"Mathematical Reviews Number","attribute_value_mlt":[{"subitem_text_value":"MR1317469"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"06A07(MSC1991)"},{"subitem_text_value":"20B30(MSC1991)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"1993-12-07"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Tagawa, Hiroyuki"}],"nameIdentifiers":[{"nameIdentifier":"138970","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":"2017-06-27"}],"displaytype":"detail","filename":"jms010210.pdf","filesize":[{"value":"120.1 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms010210.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40372/files/jms010210.pdf"},"version_id":"78c6cb25-5a58-4fc3-b893-ba4845cc4e6b"}]},"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":"On the maximum value of the first coefficients of Kazhdan-Lusztig polynomials for symmetric","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"On the maximum value of the first coefficients of Kazhdan-Lusztig polynomials for symmetric"}]},"item_type_id":"4","owner":"1","path":["7075","7076"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-03-04"},"publish_date":"2008-03-04","publish_status":"0","recid":"40372","relation_version_is_last":true,"title":["On the maximum value of the first coefficients of Kazhdan-Lusztig polynomials for symmetric"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:14:59.644375+00:00"}