{
  "id": "math/0001119",
  "version": "v1",
  "published": "2000-01-22T18:34:57.000Z",
  "updated": "2000-01-22T18:34:57.000Z",
  "title": "Finite groups with the same character tables, Drinfel'd algebras and Galois algebras",
  "authors": [
    "A. Davydov"
  ],
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We prove that finite groups have the same complex character tables iff the group algebras are twisted forms of each other as Drinfel'd quasi-bialgebras or iff there is non-associative bi-Galois algebra over these groups. The interpretations of class-preserving automorphisms and permutation representations with the same character in terms of Drinfel'd algebras are also given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-01-22T18:34:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite groups",
      "drinfeld algebras",
      "galois algebras",
      "complex character tables",
      "group algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......1119D"
    }
  }
}