{
  "id": "1010.2249",
  "version": "v1",
  "published": "2010-10-11T21:43:21.000Z",
  "updated": "2010-10-11T21:43:21.000Z",
  "title": "Clebsch--Gordan Coefficients of the Quaternion Group",
  "authors": [
    "Richard J. Mathar"
  ],
  "comment": "13 pages. 28 tables with characters, Cayley tables and CG coefficients, 4 figures with Cayley graphs",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The Clebsch--Gordan coefficients of the Kronecker products of the irreducible representations of the Quaternion Group Q8, of the Generalized Quaternion Groups Q16 and Q32, and of the factor group (Q32 X Q32)/{(1,1),(-1,-1)} are computed as eigenvectors of a well-known matrix of triple-products of the irreducible representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-11T21:43:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C15",
      "81R05",
      "20F05"
    ],
    "keywords": [
      "clebsch-gordan coefficients",
      "irreducible representations",
      "generalized quaternion groups q16",
      "quaternion group q8",
      "kronecker products"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.2249M"
    }
  }
}