{
  "id": "1108.5447",
  "version": "v1",
  "published": "2011-08-27T12:45:59.000Z",
  "updated": "2011-08-27T12:45:59.000Z",
  "title": "Concepts of trace, determinant and inverse of Clifford algebra elements",
  "authors": [
    "Dmitry Shirokov"
  ],
  "comment": "14 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In our paper we consider the notion of determinant of Clifford algebra elements. We present some new formulas for determinant of Clifford algebra elements for the cases of dimension 4 and 5. Also we consider the notion of trace of Clifford algebra elements. We use the generalization of the Pauli's theorem for 2 sets of elements that satisfy the main anticommutation conditions of Clifford algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-08-27T12:45:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A66"
    ],
    "keywords": [
      "clifford algebra elements",
      "determinant",
      "main anticommutation conditions",
      "paulis theorem",
      "generalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 925627,
      "adsabs": "2011arXiv1108.5447S"
    }
  }
}