AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Lectures on the Orbit Method
About this Title
A. A. Kirillov, University of Pennsylvania, Philadelphia, PA
Publication: Graduate Studies in Mathematics
Publication Year:
2004; Volume 64
ISBNs: 978-0-8218-3530-2 (print); 978-1-4704-1799-4 (online)
DOI: https://doi.org/10.1090/gsm/064
MathSciNet review: MR2069175
MSC: Primary 22-02; Secondary 22E27, 53-02, 53D20
Table of Contents
Download chapters as PDF
Front/Back Matter
Chapters
- Chapter 1. Geometry of coadjoint orbits
- Chapter 2. Representations and orbits of the Heisenberg group
- Chapter 3. The orbit method for nilpotent Lie groups
- Chapter 4. Solvable Lie groups
- Chapter 5. Compact Lie groups
- Chapter 6. Miscellaneous
- Chapter 7. Abstract nonsense
- Chapter 8. Smooth manifolds
- Chapter 9. Lie groups and homogeneous manifolds
- Chapter 10. Elements of functional analysis
- Chapter 11. Representation theory