BMS Particles in Three Dimensions

1. Introduction
Blagoje Oblak

Part I. Quantum Symmetries

2. Quantum Mechanics and Central Extensions
Blagoje Oblak

3. Induced Representations
Blagoje Oblak

4. Semi-direct Products
Blagoje Oblak

5. Coadjoint Orbits and Geometric Quantization
Blagoje Oblak

Part II. Virasoro Symmetry and Gravity

6. The Virasoro Group
Blagoje Oblak

7. Virasoro Coadjoint Orbits
Blagoje Oblak

8. Symmetries of Gravity in AdS




Blagoje Oblak

Part III. Symmetry and Gravity in Flat Space

9. Classical BMS



Blagoje Oblak

10. Quantum BMS



Blagoje Oblak

11. Partition Functions and Characters
Blagoje Oblak

12. Conclusion
Blagoje Oblak

Nyckelord: Physics, Classical and Quantum Gravitation, Relativity Theory, Cosmology, Mathematical Applications in the Physical Sciences