{
  "id": "1608.08731",
  "version": "v1",
  "published": "2016-08-31T05:23:48.000Z",
  "updated": "2016-08-31T05:23:48.000Z",
  "title": "Centralizer algebras of the group associated to ${\\mathbb Z}_4$-codes",
  "authors": [
    "Masashi Kosuda",
    "Manabu Oura"
  ],
  "comment": "14 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "The purpose of this paper is to investigate the finite group which appears in the study of the Type II $\\mathbf{Z}_4$-codes. To be precise, it is characterized in terms of generators and relations, and we determine the structure of the centralizer algebras of the tensor representations of this group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-31T05:23:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E10",
      "05E05",
      "05E15",
      "05E18"
    ],
    "keywords": [
      "centralizer algebras",
      "finite group",
      "tensor representations",
      "generators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}