Nilpotent orbits in semisimple Lie algebras

Author(s)

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

Bibliographic Information

Nilpotent orbits in semisimple Lie algebras

David H. Collingwood, William M. McGovern

（Mathematics series）

Van Nostrand Reinhold, c1993

Note

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

Description and Table of Contents

Description

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.

Table of Contents

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

by "Nielsen BookData"

Details

• NCID: BA25545956
• ISBN:
  • 0534188346
• LCCN: 92030461
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: New York
• Pages/Volumes: xiii, 186 p.
• Size: 25 cm
• Classification:
  • DC20 : 512/.55
  • LCC : QA252.3
• Subject Headings:
  • LCSH : Lie algebras
  • LCSH : Orbit method
• Parent Bibliography ID:
  • BA68300167