Invariant differential operators on nonreductive homogeneous spaces
Representation Theory
2007-05-23 v1
Abstract
A systematic exposition is given of the theory of invariant differential operators on a not necessarily reductive homogeneous space. This exposition is modelled on Helgason's treatment of the general reductive case and the special non-reductive case of the space of horocycles. As a final application the differential operators on (not a priori reductive) isotropic pseudo-Riemannian spaces are characterized.
Cite
@article{arxiv.math/0008116,
title = {Invariant differential operators on nonreductive homogeneous spaces},
author = {Tom H. Koornwinder},
journal= {arXiv preprint arXiv:math/0008116},
year = {2007}
}
Comments
11 pages, electronic version of old 1981 report