Calogero–Moser systems and representation theory
Pavel Etingof
Massachusetts Institute of Technology, Cambridge, USA

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| FrontmatterDownload pp. i–v | |
| ContentsDownload pp. vii–ix | |
| IntroductionDownload pp. 1–3 | |
| 1 | Poisson manifolds and Hamiltonian reductionpp. 5–10 |
| 2 | Classical mechanics and integrable systemspp. 11–19 |
| 3 | Deformation theorypp. 21–27 |
| 4 | Quantum moment maps, quantum Hamiltonian reduction, and the Levasseur–Stafford theorempp. 29–37 |
| 5 | Quantum mechanics, quantum integrable systems, and quantization of the Calogero–Moser systempp. 39–45 |
| 6 | Calogero–Moser systems associated to finite Coxeter groupspp. 47–52 |
| 7 | The rational Cherednik algebrapp. 53–57 |
| 8 | Symplectic reflection algebraspp. 59–63 |
| 9 | Deformation-theoretic interpretation of symplectic reflection algebraspp. 65–67 |
| 10 | The center of the symplectic reflection algebrapp. 69–78 |
| 11 | Representation theory of rational Cherednik algebraspp. 79–86 |
| Bibliographypp. 87–89 | |
| Indexpp. 91–92 |