¹ìµÀ·¨½²Òå

Preface
Introduction
Chapter 1 Geometry of Coadjoint Orbits
1 Basic definitions
1£®1 Coadjoint representation
1£®2 Canonical form ¦Ò¦¸
2 Symplectic structure on coadjoint orbits
2£®1 The first£¨original£©approach
2£®2 The second£¨Poisson£©approach
2£®3 The third£¨symplectic reduction£©approach
2£®4 Integrality condition
3 Coatijoint invariant functions
3£®1 General properties of invariants
3£®2 Examples
4 The moment map
4£®1 The universal property of eoadjoint orbits
4£®2 Some particular cases
5 Polarizations
5£®1 Elements of symplectic geometry
5£®2 Invariant polarizations on homogeneous symplectic manifolds

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
Appendix ¢ñ Abstract Nonsense
Appendix ¢ò Smooth Manifolds
Appendix ¢ó Lie Groups and Homogeneous Manifolds
Appendix ¢ô Elements of Functional Analysis
Appendix ¢õ Representation Theory
References
Index