{
  "id": "0907.1592",
  "version": "v2",
  "published": "2009-07-09T15:48:16.000Z",
  "updated": "2010-09-03T16:39:31.000Z",
  "title": "Semisimple Group (and Loop) Algebras over Finite Fields",
  "authors": [
    "Raul A. Ferraz",
    "Edgar G. Goodaire",
    "Cesar Polcino Milies"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We determine the structure of the semisimple group algebra of certain groups over the rationals and over those finite fields where the Wedderburn decompositions have the least number of simple components. We apply our work to obtain similar information about the loop algebras of indecomposable RA loops and to produce negative answers to the isomorphism problem over various fields.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-09-03T16:39:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C05"
    ],
    "keywords": [
      "finite fields",
      "semisimple group algebra",
      "simple components",
      "isomorphism problem",
      "indecomposable ra loops"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.1592F"
    }
  }
}