Nilpotent Orbits In Semisimple Lie Algebra: An Introduction, 1st Edition (Hardback) book cover

Nilpotent Orbits In Semisimple Lie Algebra

An Introduction, 1st Edition

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

Chapman and Hall/CRC

192 pages

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Hardback: 9780534188344
pub: 1993-04-01
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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

Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Algebra / General