Cartan connections and natural and projectively equivariant quantizations
| dc.creator | Mathonet, P. | |
| dc.creator | Radoux, F. | |
| dc.date | 2006-06-22 | |
| dc.date.accessioned | 2026-07-07T07:17:34Z | |
| dc.date.available | 2026-07-07T07:17:34Z | |
| dc.description | In this paper, we analyse the question of existence of a natural and projectively equivariant symbol calculus, using the theory of projective Cartan connections. We establish a close relationship between the existence of such a natural symbol calculus and the existence of an \sl(m+1,\R)-equivariant calculus over \R^{m} in the sense of [15,1]. Moreover we show that the formulae that hold in the non-critical situations over \R^{m} for the \sl(m+1,\R)-equivariant calculus can be directly generalized to an arbitrary manifold by simply replacing the partial derivatives by invariant differentiations with respect to a Cartan connection. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0606556 | |
| dc.identifier | http://arxiv.org/abs/math/0606556 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113984 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53B10 ; 53C10 ; 22E46 | |
| dc.title | Cartan connections and natural and projectively equivariant quantizations | |
| dc.type | text |