Polarized deformation quantization
| dc.creator | Bressler, P. | |
| dc.creator | Donin, J. | |
| dc.date | 2000-07-30 | |
| dc.date.accessioned | 2026-07-07T04:36:34Z | |
| dc.date.available | 2026-07-07T04:36:34Z | |
| dc.description | Let $A$ be a star product on a symplectic manifold $(M,ω_0)$, $\frac{1}{t}[ω]$ its Fedosov class, where $ω$ is a deformation of $ω_0$. We prove that for a complex polarization of $ω$ there exists a commutative subalgebra, $O$, in $A$ that is isomorphic to the algebra of functions constant along the polarization. Let $F(A)$ consists of elements of $A$ whose commutator with $O$ belongs to $O$. Then, $F(A)$ is a Lie algebra which is an $O$-extension of the Lie algebra of derivations of $O$. We prove a formula which relates the class of this extension, the Fedosov class, and the Chern class of $P$. | |
| dc.description | Latex2e, 23 pp | |
| dc.identifier | https://arxiv.org/abs/math/0007186 | |
| dc.identifier | http://arxiv.org/abs/math/0007186 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59646 | |
| dc.subject | Quantum Algebra | |
| dc.title | Polarized deformation quantization | |
| dc.type | text |