{
  "id": "1012.3558",
  "version": "v1",
  "published": "2010-12-16T11:10:59.000Z",
  "updated": "2010-12-16T11:10:59.000Z",
  "title": "Bounds for Hochschild cohomology of block algebras",
  "authors": [
    "Radha Kessar",
    "Markus Linckelmann"
  ],
  "comment": "6 pages",
  "categories": [
    "math.RT",
    "math.GR",
    "math.KT"
  ],
  "abstract": "We show that for any block algebra B of a finite group over an algebraically closed field of prime characteristic the dimension of HH^n(B) is bounded by a function depending only on the nonnegative integer n and the defect of B. The proof uses in particular a theorem of Brauer and Feit which implies the result for n=0.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-16T11:10:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C20",
      "16E40"
    ],
    "keywords": [
      "block algebra",
      "hochschild cohomology",
      "finite group",
      "prime characteristic",
      "algebraically closed field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.3558K"
    }
  }
}