{"created":"2021-03-01T06:59:53.302739+00:00","id":40287,"links":{},"metadata":{"_buckets":{"deposit":"f3cdc046-cbfc-4747-bc39-702b659dc389"},"_deposit":{"id":"40287","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40287"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040287","sets":["312:6865:7037:7045","9:504:6868:7039:7046"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1998","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"220","bibliographicPageStart":"165","bibliographicVolumeNumber":"5","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 paper, we compare the Green functions of $Sp(2n,q)$ and $SO(2n+1,q)$ with those of $GL(n,q^2)$ and find an interesting connection between them. Let $G = Sp_{2n}(\\FFq)$ or $SO_{2n+1}(\\FFq)$ and $\\bar G = GL_n(\\FFq)$ with Frobenuius map $F$. The Weyl group $W$ of $G$ is written as $W = DS_n$, where $D$ is an elementary abelian 2-group and $S_n$ is the symmetric group of degree $n$, which is identified with the Weyl group of $\\bar G$. Let $Q_{T_w}^G$ be a Green function of $G^F$ where $T_w$ is an $F$-stable maximal torus of $G$ corresponding to $w \\in W$. For $w \\in S_n$, we define an average of Green functions $Q_{w, D}^G$ on $G^F$ by $Q_{w,D}^G = |D|\\iv\\sum_{x \\in D}Q_{T_{wx}}^G.$ Then there exists a natural injection $u_0 \\mapsto u$ from the set of unipotent classes of $\\bar G$ to the set of unipotent classes of $G$ such that the function $Q_{w,D}^G(u)$ on $G^F$ coincides with the Green function $Q_{\\bar T_w}^{\\bar G}(u_0)$ on $\\bar G^{F^2}$.","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":"MR1617076"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"20G40(MSC1991)"},{"subitem_text_value":"20G10(MSC1991)"},{"subitem_text_value":"14M15(MSC1991)"},{"subitem_text_value":"20C15(MSC1991)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"1997-05-14"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Shoji, Toshiaki"}],"nameIdentifiers":[{"nameIdentifier":"138884","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":"jms050108.pdf","filesize":[{"value":"447.8 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms050108.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40287/files/jms050108.pdf"},"version_id":"a7b3fb9d-a243-480c-9baf-0936e0c93903"}]},"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":"Averages of Green Functions of Classical Groups","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Averages of Green Functions of Classical Groups"}]},"item_type_id":"4","owner":"1","path":["7045","7046"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-03-04"},"publish_date":"2008-03-04","publish_status":"0","recid":"40287","relation_version_is_last":true,"title":["Averages of Green Functions of Classical Groups"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:15:36.455155+00:00"}