Space of second order linear differential operators as a module over the Lie algebra of vector fields
| dc.creator | Duval, C. | |
| dc.creator | Ovsienko, V. | |
| dc.date | 1994-09-12 | |
| dc.date.accessioned | 2026-07-07T04:20:30Z | |
| dc.date.available | 2026-07-07T04:20:30Z | |
| dc.description | The space of linear differential operators on a smooth manifold $M$ has a natural one-parameter family of $Diff(M)$ (and $Vect(M)$)-module structures, defined by their action on the space of tensor-densities. It is shown that, in the case of second order differential operators, the $Vect(M)$-module structures are equivalent for any degree of tensor-densities except for three critical values: $\{0,{1\over 2},1\}$. Second order analogue of the Lie derivative appears as an intertwining operator between the spaces of second order differential operators on tensor-densities. | |
| dc.description | 20 pages, CPT-preprint Marseille | |
| dc.identifier | https://arxiv.org/abs/hep-th/9409065 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9409065 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53972 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Space of second order linear differential operators as a module over the Lie algebra of vector fields | |
| dc.type | text |