Conformally Invariant Operators via Curved Casimirs: Examples

Details Conformally Invariant Operators via Curved Casimirs: Examples Conformally Invariant Operators via Curved Casimirs: Examples

2008-08-14

arxiv.org/abs/0808.1978v2

Pure Appl. Math. Q 6, 3 (2010) 693-714

Mathematics

Differential Geometry

AMSLaTeX, 16 pages, v2: minor changes, final version to appear in Pure Appl. Math. Q

Scientific paper

We discuss a general scheme for a construction of linear conformally invariant differential operators from curved Casimir operators; we then explicitly carry this out for several examples. Apart from demonstrating the efficacy of the approach via curved Casimirs, this shows that this method applies both in regular and in singular infinitesimal character, and also that it can be used to construct standard as well as non--standard operators. The examples treated include conformally invariant operators with leading term, in one case, a square of the Laplacian, and in another case, a cube of the Laplacian.

Affiliated with

Also associated with

No associations

Rating

Conformally Invariant Operators via Curved Casimirs: Examples 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 Conformally Invariant Operators via Curved Casimirs: Examples, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conformally Invariant Operators via Curved Casimirs: Examples will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-584680