{ "id": "math/0008116", "version": "v1", "published": "2000-08-16T15:17:19.000Z", "updated": "2000-08-16T15:17:19.000Z", "title": "Invariant differential operators on nonreductive homogeneous spaces", "authors": [ "Tom H. Koornwinder" ], "comment": "11 pages, electronic version of old 1981 report", "categories": [ "math.RT" ], "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.", "revisions": [ { "version": "v1", "updated": "2000-08-16T15:17:19.000Z" } ], "analyses": { "subjects": [ "43A85", "17B35", "22E30", "58J70" ], "keywords": [ "invariant differential operators", "nonreductive homogeneous spaces", "isotropic pseudo-riemannian spaces", "final application", "special non-reductive case" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2000math......8116K" } } }