Mathematics – Representation Theory
Scientific paper
2002-05-28
Comm. Alg., 32 (7), 2559-2572, 2004
Mathematics
Representation Theory
9 pages
Scientific paper
The space D(k,p) of differential operators of order at most k, from the differential forms of degree p of a smooth manifold M into the functions of M, is a module over the Lie algebra of vector fields of M, when it's equipped with the natural Lie derivative. In this paper, we compute all equivariant i.e. intertwining operators from D(k,p) into D(k',p') and conclude that the preceding modules of differential operators are never isomorphic. We also answer a question of P. Lecomte, who observed that the restriction to D(k,p) of some homotopy operator, introduced in one of his works, is equivariant for small values of k and p.
No associations
LandOfFree
Equivariant Operators between some Modules of the Lie Algebra of Vector Fields 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 Equivariant Operators between some Modules of the Lie Algebra of Vector Fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivariant Operators between some Modules of the Lie Algebra of Vector Fields will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-560503