{
  "id": "1509.07656",
  "version": "v1",
  "published": "2015-09-25T09:53:07.000Z",
  "updated": "2015-09-25T09:53:07.000Z",
  "title": "The Peter-Weyl Theorem for SU(1|1)",
  "authors": [
    "C. Carmeli",
    "R. Fioresi",
    "S. D. Kwok"
  ],
  "categories": [
    "math.RT",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study a generalization of the results \\in \\cite{cfk} to the case of $SU(1|1)$ interpreted as the supercircle $S^{1|2}$. We describe all of its finite dimensional complex irreducible representations, we give a reducibility result for representations not containing the trivial character, and we compute explicitly the corresponding matrix elements. In the end we give the Peter-Weyl theorem for $S^{1|2}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-25T09:53:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "peter-weyl theorem",
      "finite dimensional complex irreducible representations",
      "corresponding matrix elements",
      "trivial character",
      "reducibility result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150907656C"
    }
  }
}