Cohomology of the vector fields Lie algebra and modules of differential operators on a smooth manifold
| dc.creator | Lecomte, P. B. A. | |
| dc.creator | Ovsienko, V. Yu. | |
| dc.date | 1999-05-11 | |
| dc.date.accessioned | 2026-07-07T05:29:01Z | |
| dc.date.available | 2026-07-07T05:29:01Z | |
| dc.description | Let $M$ be a smooth manifold, $\cal S$ the space of polynomial on fibers functions on $T^*M$ (i.e., of symmetric contravariant tensor fields). We compute the first cohomology space of the Lie algebra, $Vect(M)$, of vector fields on $M$ with coefficients in the space of linear differential operators on $\cal S$. This cohomology space is closely related to the $Vect(M)$-modules, ${\cal D}_λ(M)$, of linear differential operators on the space of tensor densities on $M$ of degree $λ$. | |
| dc.description | 14 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/9905058 | |
| dc.identifier | http://arxiv.org/abs/math/9905058 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78479 | |
| dc.subject | Differential Geometry | |
| dc.title | Cohomology of the vector fields Lie algebra and modules of differential operators on a smooth manifold | |
| dc.type | text |