Conformally Invariant Operators via Curved Casimirs: Examples
Differential Geometry
2015-09-29 v2
Abstract
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.
Cite
@article{arxiv.0808.1978,
title = {Conformally Invariant Operators via Curved Casimirs: Examples},
author = {Andreas Cap and A. Rod Gover and Vladimir Soucek},
journal= {arXiv preprint arXiv:0808.1978},
year = {2015}
}
Comments
AMSLaTeX, 16 pages, v2: minor changes, final version to appear in Pure Appl. Math. Q