{
  "id": "math/0207034",
  "version": "v2",
  "published": "2002-07-03T09:28:42.000Z",
  "updated": "2003-03-14T14:24:35.000Z",
  "title": "Equivariant compactifications of reductive groups",
  "authors": [
    "Dmitri A. Timashev"
  ],
  "comment": "30 pages, AmSLaTeX. Bibliography: 36 items",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study equivariant projective compactifications of reductive groups obtained by closing the image of a group in the space of operators of a projective representation. We describe the structure and the mutual position of their orbits under the action of the doubled group by left/right multiplications, the local structure in a neighborhood of a closed orbit, and obtain some conditions of normality and smoothness of a compactification. Our methods of research use the theory of equivariant embeddings of spherical homogeneous spaces and of reductive algebraic semigroups.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-03-14T14:24:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L30",
      "14M17",
      "52B20"
    ],
    "keywords": [
      "reductive groups",
      "equivariant compactifications",
      "study equivariant projective compactifications",
      "left/right multiplications",
      "equivariant embeddings"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1070/SM2003v194n04ABEH000731",
      "journal": "Sbornik: Mathematics",
      "year": 2003,
      "month": "Apr",
      "volume": 194,
      "number": 4,
      "pages": 589
    },
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003SbMat.194..589T"
    }
  }
}