Fedosov *-Products and Quantum Momentum Maps
β Scribed by P. Xu
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 352 KB
- Volume
- 197
- Category
- Article
- ISSN
- 0010-3616
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
When a Hamiltonian action of Lie group on a symplectic manifold has a singular momentum mapping, the reduced manifold may not exist. Nevertheless, we may always construct a Poisson algebra which corresponds to the functions on the reduced manifold in the regular case. The ideas of geometric quantiza
The purpose of this note is to define tri-momentum maps for certain manifolds with an Sp(1) n -action. We exhibit many interesting examples of such spaces using quaternions. We show how these maps can be used to reduce such manifolds to ones with fewer symmetries. The images of such maps for quatern