{
  "id": "1106.1070",
  "version": "v2",
  "published": "2011-06-06T14:03:23.000Z",
  "updated": "2012-09-07T09:22:40.000Z",
  "title": "Harmonic analysis on spherical homogeneous spaces with solvable stabilizer",
  "authors": [
    "Roman Avdeev",
    "Natalia Gorfinkel"
  ],
  "comment": "v2: 14 pages, minor corrections",
  "journal": "Functional Analysis and Its Applications, vol. 46 (2012), no. 3, 161-172",
  "doi": "10.1007/s10688-012-0023-3",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "For all spherical homogeneous spaces G/H, where G is a simply connected semisimple algebraic group and H a connected solvable subgroup of G, we compute the spectra of the representations of G on spaces of regular sections of homogeneous line bundles over G/H.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-09-07T09:22:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G05",
      "22E46",
      "43A85",
      "14M27",
      "14M17"
    ],
    "keywords": [
      "harmonic analysis",
      "solvable stabilizer",
      "simply connected semisimple algebraic group",
      "spherical homogeneous spaces g/h"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.1070A"
    }
  }
}