Nilpotent Orbits In Semisimple Lie Algebra

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.

Informationen zum Autor McGovern, William.M. Klappentext The principal aim of this book is to collect together the important results concerning the classification and properties of nilpotent orbits! beginning from the common ground of basic structure theory. The techniques used are elementary. Zusammenfassung 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. Inhaltsverzeichnis 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

Autorentext
McGovern, William.M.

Klappentext

The principal aim of this book is to collect together the important results concerning the classification and properties of nilpotent orbits, beginning from the common ground of basic structure theory. The techniques used are elementary.

Inhalt

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