Finite reflection groups and the Dunkl-Laplace differential-difference operators in conformal geometry
Differential Geometry
2013-05-06 v1 Representation Theory
Abstract
For a finite reflection subgroup of the conformal group of the sphere with standard conformal structure , we geometrically derive differential-difference Dunkl version of the series of conformally invariant differential operators with symbols given by powers of Laplace operator. The construction can be regarded as a deformation of the Fefferman-Graham ambient metric construction of GJMS operators.
Cite
@article{arxiv.1305.0734,
title = {Finite reflection groups and the Dunkl-Laplace differential-difference operators in conformal geometry},
author = {P. Somberg},
journal= {arXiv preprint arXiv:1305.0734},
year = {2013}
}