{
  "id": "1606.09511",
  "version": "v1",
  "published": "2016-06-30T14:38:56.000Z",
  "updated": "2016-06-30T14:38:56.000Z",
  "title": "Corrigendum to \"On injective modules and support varieties for the small quantum group\"",
  "authors": [
    "Christopher M. Drupieski"
  ],
  "comment": "2 pages; Corrigendum to [C.M. Drupieski, On injective modules and support varieties for the small quantum group, Int. Math. Res. Not. 2011 (2011), 2263-2294]",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "The proof of Theorem 5.12 in [C.M. Drupieski, On injective modules and support varieties for the small quantum group, Int. Math. Res. Not. 2011 (2011), 2263-2294] does not make sense as written because the algebra $u_\\zeta(\\mathfrak{b}_\\alpha^+)$ need not be a Hopf subalgebra of $u_\\zeta(\\mathfrak{b}^+)$ unless $\\alpha$ is a simple root. This note describes how the proof should be modified to work around this fact.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-30T14:38:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B37",
      "20G10"
    ],
    "keywords": [
      "small quantum group",
      "support varieties",
      "injective modules",
      "corrigendum",
      "hopf subalgebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 2,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}