The ternary invariant differential operators acting on the spaces of weighted densities

Details The ternary invariant differential operators acting on the spaces of weighted densities The ternary invariant differential operators acting on the spaces of weighted densities

2008-06-05

arxiv.org/abs/0806.1044v1

Theor. Math. Phys., 158, no. 2, (2009), 137-150.

Mathematics

Representation Theory

13 pages, no figures, to appear in Theor. Math. Phys

Scientific paper

10.1007/s11232-009-0012-8

Over n-dimensional manifolds, I classify ternary differential operators acting on the spaces of weighted densities and invariant with respect to the Lie algebra of vector fields. For n=1, some of these operators can be expressed in terms of the de Rham exterior differential, the Poisson bracket, the Grozman operator and the Feigin-Fuchs anti-symmetric operators; four of the operators are new, up to dualizations and permutations. For n>1, I list multidimensional conformal tranvectors, i.e.,operators acting on the spaces of weighted densities and invariant with respect to o(p+1,q+1), where p+q=n. Except for the scalar operator, these conformally invariant operators are not invariant with respect to the whole Lie algebra of vector fields.

Affiliated with

Also associated with

No associations

Rating

The ternary invariant differential operators acting on the spaces of weighted densities 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 The ternary invariant differential operators acting on the spaces of weighted densities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The ternary invariant differential operators acting on the spaces of weighted densities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-128583