Invariant differential operators on nonreductive homogeneous spaces
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- August 2000
- DOI:
- 10.48550/arXiv.math/0008116
- arXiv:
- arXiv:math/0008116
- Bibcode:
- 2000math......8116K
- Keywords:
-
- Representation Theory;
- 43A85 (primary);
- 17B35;
- 22E30;
- 58J70 (secondary)
- E-Print:
- 11 pages, electronic version of old 1981 report