{
  "id": "1611.04197",
  "version": "v1",
  "published": "2016-11-13T21:59:14.000Z",
  "updated": "2016-11-13T21:59:14.000Z",
  "title": "Local duality for representations of finite group schemes",
  "authors": [
    "Dave Benson",
    "Srikanth B. Iyengar",
    "Henning Krause",
    "Julia Pevtsova"
  ],
  "comment": "22 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "A duality theorem for the stable module category of representations of a finite group scheme is proved. One of its consequences is an analogue of Serre duality, and the existence of Auslander-Reiten triangles for the $\\mathfrak{p}$-local and $\\mathfrak{p}$-torsion subcategories of the stable category, for each homogeneous prime ideal $\\mathfrak{p}$ in the cohomology ring of the group scheme.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-13T21:59:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G10",
      "20C20",
      "20G10",
      "20J06",
      "18E30"
    ],
    "keywords": [
      "finite group scheme",
      "local duality",
      "representations",
      "duality theorem",
      "stable module category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}