Nilpotent orbits in semisimple Lie algebras

著者

• Collingwood, David H.
• McGovern, William M.

書誌事項

Nilpotent orbits in semisimple Lie algebras

David H. Collingwood, William M. McGovern

（Mathematics series）

Van Nostrand Reinhold, c1993

注記

Includes bibliographical references (p. [179]-183) and index

内容説明・目次

内容説明

This book collects important results concerning the classification and properties of nilpotent orbits in a Lie algebra. It develops the Dynkin-Kostant and Bala-Carter classifications of complex nilpotent orbits and derives the Lusztig-Spaltenstein theory of induction of nilpotent orbits.

目次

1. Preliminaries 2. Semisimple Orbits 3. The Dynkin-Kostant Classification 4. Principal, Subregular, and Minimal Nilpotent Orbits 5. Nilpotent Orbits in the Classical Algebras 6. Topology of Nilpotent Orbits 7. Induced Nilpotent Orbits 8. The Exceptional Cases and Bala-Carter Theory 9. Real Nilpotent Orbits 10. Advanced Topics

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詳細情報

• NII書誌ID(NCID): BA25545956
• ISBN:
  • 0534188346
• LCCN: 92030461
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: xiii, 186 p.
• 大きさ: 25 cm
• 分類:
  • DC20 : 512/.55
  • LCC : QA252.3
• 件名:
  • LCSH : Lie algebras
  • LCSH : Orbit method
• 親書誌ID:
  • BA68300167