{
  "id": "hep-th/9607103",
  "version": "v1",
  "published": "1996-07-12T11:45:08.000Z",
  "updated": "1996-07-12T11:45:08.000Z",
  "title": "A Z_3-graded generalization of supermatrices",
  "authors": [
    "Bertrand Le Roy"
  ],
  "journal": "J.Math.Phys. 37 (1996) 474-483",
  "doi": "10.1063/1.531688",
  "categories": [
    "hep-th"
  ],
  "abstract": "We introduce Z_3-graded objects which are the generalization of the more familiar Z_2-graded objects that are used in supersymmetric theories and in many models of non-commutative geometry. First, we introduce the Z_3-graded Grassmann algebra, and we use this object to construct the Z_3-matrices, which are the generalizations of the supermatrices. Then, we generalize the concepts of supertrace and superdeterminant.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1996-07-12T11:45:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalization",
      "supermatrices",
      "supersymmetric theories",
      "grassmann algebra"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "J. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 420691
    }
  }
}