{
  "id": "1409.8163",
  "version": "v1",
  "published": "2014-09-29T15:55:03.000Z",
  "updated": "2014-09-29T15:55:03.000Z",
  "title": "Method of generalized contractions and Pauli's theorem in Clifford algebras",
  "authors": [
    "D. S. Shirokov"
  ],
  "comment": "14 pages. arXiv admin note: text overlap with arXiv:1409.2449",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider real and complex Clifford algebras of arbitrary even and odd dimensions and prove generalizations of Pauli's theorem for two sets of Clifford algebra elements that satisfy the main anticommutative conditions. We use generalized contractions (averaging) to do it. These theorems give us an algorithm for computing elements that connect two different sets of Clifford algebra elements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-29T15:55:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A66"
    ],
    "keywords": [
      "paulis theorem",
      "generalized contractions",
      "clifford algebra elements",
      "complex clifford algebras",
      "main anticommutative conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1320050,
      "adsabs": "2014arXiv1409.8163S"
    }
  }
}