Nilpotent Orbits In Semisimple Lie Algebra

An Introduction
1. Auflage 1993
ISBN: 978-0-534-18834-4
Verlag: Taylor & Francis Inc

Buch, Englisch, 200 Seiten, Format (B × H): 156 mm x 247 mm, Gewicht: 422 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Collingwood, David .H. (University of Washington)

Collingwood, David .H.

McGovern, William .M. (University of Washington)

McGovern, William .M.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

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

Über Autor(innen)

McGovern, William.M.