{
  "id": "1607.07490",
  "version": "v1",
  "published": "2016-07-25T21:35:56.000Z",
  "updated": "2016-07-25T21:35:56.000Z",
  "title": "Representations of Spin(4), Spin(2,2) and Spin(3,1)",
  "authors": [
    "Ali Delbaznasab",
    "MohammadReza Molaei"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this essay we present an outer product on R^6, and we show that R^6 with this outer product can take three kinds of Lie brackets. We prove that R^6 with these Lie brackets take the structures of so(4), so(2,2) and so(3,1). We also deduce a 4-dimensional submanifold of R^6 with an almost complex structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-25T21:35:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "representations",
      "outer product",
      "lie brackets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}