{
  "id": "1201.6473",
  "version": "v2",
  "published": "2012-01-31T08:50:55.000Z",
  "updated": "2013-02-19T03:21:52.000Z",
  "title": "Modular Categories Associated to Unipotent Groups",
  "authors": [
    "Tanmay Deshpande"
  ],
  "comment": "26 pages",
  "doi": "10.1007/s00029-013-0126-6",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "Let G be a unipotent algebraic group over an algebraically closed field k of characteristic p > 0 and let l be a prime different from p. Let e be a minimal idempotent in D_G(G), the braided monoidal category of G-equivariant (under conjugation action) \\bar{Q_l}-complexes on G. We can associate to G and e a modular category M_{G,e}. In this article, we prove that the modular categories that arise in this way from unipotent groups are precisely those in the class C_p^{\\pm}.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-19T03:21:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "modular category",
      "unipotent groups",
      "modular categories",
      "unipotent algebraic group",
      "conjugation action"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.6473D"
    }
  }
}