{"created":"2023-07-27T05:18:50.740174+00:00","id":108418,"links":{},"metadata":{"_buckets":{"deposit":"2edda700-4be0-443b-850d-97f89f72ee1d"},"_deposit":{"created_by":3,"id":"108418","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"108418"},"status":"published"},"_oai":{"id":"oai:tohoku.repo.nii.ac.jp:00108418","sets":["91:860"]},"author_link":["227252","227254","227253"],"item_23_biblio_info_12":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2001-09-01","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"442","bibliographicPageStart":"395","bibliographicVolumeNumber":"53","bibliographic_titles":[{"bibliographic_title":"東北數學雜誌. Second series"},{"bibliographic_title":"Tohoku mathematical journal. Second series","bibliographic_titleLang":"en"}]}]},"item_23_description_11":{"attribute_name":"抄録(英)","attribute_value_mlt":[{"subitem_description":"Let ${\\mathcal{O}}$ be a nilpotent orbit in ${\\mathfrak{so}}(p,q)$ under the adjoint action of the full orthogonal group ${\\rm{O}}(p,q)$. Then the closure of ${\\mathcal{O}}$ (with respect to the Euclidean topology) is a union of ${\\mathcal{O}}$ and some nilpotent ${\\rm{O}}(p,q)$-orbits of smaller dimensions. In an earlier work, the first author has determined which nilpotent ${\\rm{O}}(p,q)$-orbits belong to this closure. The same problem for the action of the identity component ${\\rm{SO}}(p,q)^0$ of ${\\rm{O}}(p,q)$ on ${\\mathfrak{so}}(p,q)$ is much harder and we propose a conjecture describing the closures of the nilpotent ${\\rm{SO}}(p,q)^0$-orbits. The conjecture is proved when $\\min(p,q)\\le7$. Our method is indirect because we use the Kostant-Sekiguchi correspondence to translate the problem to that of describing the closures of the unstable orbits for the action of the complex group ${\\rm{SO}} p({\\bf{C}})\\times{\\rm{SO}} q({\\bf{C}})$ on the space $M_{p,q}$ of complex $p\\times q$ matrices with the action given by $(a,b)\\cdot x=axb^<-1>$. The fact that the Kostant--Sekiguchi correspondence preserves the closure relation has been proved recently by Barbasch and Sepanski.","subitem_description_type":"Other"}]},"item_23_identifier_14":{"attribute_name":"URL","attribute_value_mlt":[{"subitem_identifier_type":"URI","subitem_identifier_uri":"J-STAGE | https://www.jstage.jst.go.jp/article/tmj/53/3/53_3_395/_article/-char/ja"}]},"item_23_source_id_1":{"attribute_name":"雑誌書誌ID","attribute_value_mlt":[{"subitem_source_identifier":"AA00863953","subitem_source_identifier_type":"NCID"}]},"item_23_source_id_19":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"00408735","subitem_source_identifier_type":"ISSN"}]},"item_23_text_7":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"Department ofPure Mathematics, University of Waterloo"},{"subitem_text_language":"en","subitem_text_value":"Department of Mathematics,University of Oregon"},{"subitem_text_language":"en","subitem_text_value":"Department of Mathematics, Tokyo University ofAgriculture andTechnolog"}]},"item_23_title_3":{"attribute_name":"論文名よみ","attribute_value_mlt":[{"subitem_title":"The closure ordering of adjoint nilpotent orbits in so(p,q)"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"metadata only access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_14cb"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Djokovic, Dragomir Z.","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"227252","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Lemire, Nicole","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"227253","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Sekiguchi, Jiro","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"227254","nameIdentifierScheme":"WEKO"}]}]},"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":"The closure ordering of adjoint nilpotent orbits in so(p,q)","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"The closure ordering of adjoint nilpotent orbits in so(p,q)","subitem_title_language":"en"}]},"item_type_id":"23","owner":"3","path":["860"],"pubdate":{"attribute_name":"公開日","attribute_value":"2017-04-07"},"publish_date":"2017-04-07","publish_status":"0","recid":"108418","relation_version_is_last":true,"title":["The closure ordering of adjoint nilpotent orbits in so(p,q)"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2023-07-27T19:58:33.733590+00:00"}