A remark on Schubert cells and the duality of orbits on flag manifolds

• GINDIKIN Simon

  Department of Mathematics Hill Center, Rutgers University

• MATSUKI Toshihiko

  Department of Mathematics, Faculty of Science Kyoto University

書誌事項

タイトル別名

• remark on Schubert cells and the duality of orbits on flag manifolds

抄録

It is known that the closure of an arbitrary K_{\bc}-orbit on a flag manifold is expressed as a product of a closed K_{\bc}-orbit and a Schubert cell (\cite{M2}, \cite{Sp}). We already applied this fact to the duality of orbits on flag manifolds (\cite {GM}). We refine here this result and give its new applications to the study of domains arising from the duality.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 57 (1), 157-165, 2005

  一般社団法人 日本数学会

キーワード

• Schubert cell
• flag manifold

詳細情報

• CRID: 1390001205114582912
• NII論文ID: 10016419712
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/1160745819
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 2114726
• NDL書誌ID: 7226466
• Web Site: http://id.ndl.go.jp/bib/7226466
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7226466
• 本文言語コード: en
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