{
  "id": "2003.12695",
  "version": "v1",
  "published": "2020-03-28T03:57:33.000Z",
  "updated": "2020-03-28T03:57:33.000Z",
  "title": "Supercharacter theory via the group determinant",
  "authors": [
    "Shawn T. Burkett"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Ferdinand Georg Frobenius is generally considered the creator of character theory of finite groups. This achievement came from the study of the group determinant, which is the determinant of a matrix coming from the regular representation. In this paper, we generalize several of Frobenius' results about the group determinant and use them find a new formulation of supercharacter theory in terms of factorizations of the group determinant.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-28T03:57:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C15"
    ],
    "keywords": [
      "group determinant",
      "supercharacter theory",
      "ferdinand georg frobenius",
      "regular representation",
      "finite groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}