{
  "id": "math/0702846",
  "version": "v3",
  "published": "2007-02-27T16:12:15.000Z",
  "updated": "2008-04-06T22:58:38.000Z",
  "title": "Tannakian approach to linear differential algebraic groups",
  "authors": [
    "Alexey Ovchinnikov"
  ],
  "comment": "31 pages; corrected misprints",
  "journal": "Transformation Groups 13 (2) (2008) 413-446",
  "doi": "10.1007/s00031-008-9010-4",
  "categories": [
    "math.RT",
    "math.AC"
  ],
  "abstract": "Tannaka's Theorem states that a linear algebraic group G is determined by the category of finite dimensional G-modules and the forgetful functor. We extend this result to linear differential algebraic groups by introducing a category corresponding to their representations and show how this category determines such a group.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-04-06T22:58:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12H05",
      "13N10",
      "20G05"
    ],
    "keywords": [
      "linear differential algebraic groups",
      "tannakian approach",
      "linear algebraic group",
      "finite dimensional g-modules",
      "tannakas theorem states"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2846O"
    }
  }
}