Cohomology of the vector fields Lie algebra and modules of differential operators on a smooth manifold

Details Cohomology of the vector fields Lie algebra and modules of differential operators on a smooth manifold Cohomology of the vector fields Lie algebra and modules of differential operators on a smooth manifold

1999-05-11

arxiv.org/abs/math/9905058v1

Mathematics

Differential Geometry

14 pages, LaTeX

Scientific paper

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, ${\cal D}_\lambda(M)$, of linear differential operators on the space of tensor densities on $M$ of degree $\lambda$.

Affiliated with

Also associated with

No associations

Rating

Cohomology of the vector fields Lie algebra and modules of differential operators on a smooth manifold does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cohomology of the vector fields Lie algebra and modules of differential operators on a smooth manifold, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cohomology of the vector fields Lie algebra and modules of differential operators on a smooth manifold will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-566781