{
  "id": "math/0703422",
  "version": "v3",
  "published": "2007-03-14T13:41:39.000Z",
  "updated": "2008-09-16T18:51:49.000Z",
  "title": "Tannakian categories, linear differential algebraic groups, and parameterized linear differential equations",
  "authors": [
    "Alexey Ovchinnikov"
  ],
  "comment": "26 pages; corrected misprints; simplified Definition 2; more references added",
  "journal": "Transformation Groups 14 (1) (2009) 195-223",
  "doi": "10.1007/s00031-008-9042-9",
  "categories": [
    "math.RT",
    "math.AC",
    "math.CT"
  ],
  "abstract": "We provide conditions for a category with a fiber functor to be equivalent to the category of representations of a linear differential algebraic group. This generalizes the notion of a neutral Tannakian category used to characterize the category of representations of a linear algebraic group.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-09-16T18:51:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12H05",
      "57T05",
      "18E99"
    ],
    "keywords": [
      "linear differential algebraic group",
      "parameterized linear differential equations",
      "linear algebraic group",
      "neutral tannakian category",
      "representations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......3422O"
    }
  }
}