Homotopy groups of the spaces of self-maps of Lie groups

• Maruyama Ken-ichi

  Chiba University

• Oshima Hideaki

  Ibaraki University

抄録

We compute the homotopy groups of the spaces of self maps of Lie groups of rank 2, SU(3), Sp(2), and G₂. We use the cell structures of these Lie groups and the standard methods of homotopy theory.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 60 (3), 767-792, 2008

  一般社団法人 日本数学会

キーワード

• function spaces
• homotopy groups
• Lie groups

詳細情報

• CRID: 1390282680091404928
• NII論文ID: 10024331921
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06030767
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 2440413
• NDL書誌ID: 9583031
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I9583031
• 本文言語コード: en
• データソース種別:
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  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可