Methods of Equivariant Quantization
| dc.creator | Duval, C. | |
| dc.creator | Lecomte, P. | |
| dc.creator | Ovsienko, V. | |
| dc.date | 1999-10-19 | |
| dc.date | 1999-10-20 | |
| dc.date.accessioned | 2026-07-07T05:31:12Z | |
| dc.date.available | 2026-07-07T05:31:12Z | |
| dc.description | This article is a survey of recent work of the authors developing a new approach to quantization based on the equivariance with respect to some Lie group of symmetries. Examples are provided by conformal and projective differential geometry: given a smooth manifold M endowed with a flat conformal/projective structure, we establish a canonical isomorphism between the space of symmetric contravariant tensor fields on M and the space of differential operators on M. This leads to a notion of conformally/projectively invariant star-product on $T^*M$. | |
| dc.description | 14 pages, LaTeX; Proc. of the workshop "Noncommutative Differential Geometry and its Applications to Physics", Shonan-Kokusaimura, Japan, May 31-June 4, 1999 | |
| dc.identifier | https://arxiv.org/abs/math/9910094 | |
| dc.identifier | http://arxiv.org/abs/math/9910094 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79257 | |
| dc.subject | Differential Geometry | |
| dc.subject | Quantum Algebra | |
| dc.title | Methods of Equivariant Quantization | |
| dc.type | text |