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The metaplectic representation, $Mp^{c}$ structures and geometric quantization
About this Title
P. L. Robinson and J. H. Rawnsley
Publication: Memoirs of the American Mathematical Society
Publication Year:
1989; Volume 81, Number 410
ISBNs: 978-0-8218-2473-3 (print); 978-1-4704-0833-6 (online)
DOI: https://doi.org/10.1090/memo/0410
MathSciNet review: 1015418
MSC: Primary 58F06; Secondary 22E45
Table of Contents
Chapters
- Introduction
- 1. Preliminary topics
- 2. The metaplectic representation
- 3. Positive polarizations
- 4. Isotropic reduction
- 5. Derived representations
- 6. $\mathrm {Mp}^c$ structures
- 7. Prequantization
- 8. Quantization
- 9. Complex projective spaces
- 10. Linear symplectic manifolds