{
  "id": "hep-th/9405165",
  "version": "v1",
  "published": "1994-05-26T08:43:25.000Z",
  "updated": "1994-05-26T08:43:25.000Z",
  "title": "$SO(5)_{q}$ and Contraction",
  "authors": [
    "Amitabha Chakrabarti"
  ],
  "comment": "8 pages Tex, written version of a talk presented at XXX Karpacz Winter school",
  "categories": [
    "hep-th"
  ],
  "abstract": "Representations of $SO(5)_{q}$ are constructed explicitly on the Chevalley basis for all $q$, generic and root of unity. Matrix elements of the generators are obtained for all representations depending on three variable indices, the maximal number being 4. A prescription for contraction is given such that a complete Hopf algebra is immediately obtained for the non-semisimple contracted case. For $q$ a root of unity the periodic representations for $SO(5)_{q}$ and the contracted algebra are obtained directly in the \"fractional part\" formalism which unifies the treatments for the generic and root of unity cases. The $q$-deformed quadratic Casimir operator is explicitly evaluated for the representations presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1994-05-26T08:43:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "contraction",
      "deformed quadratic casimir operator",
      "complete hopf algebra",
      "chevalley basis",
      "matrix elements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 373652,
      "adsabs": "1994hep.th....5165C"
    }
  }
}