{
  "id": "1212.0607",
  "version": "v1",
  "published": "2012-12-04T03:24:38.000Z",
  "updated": "2012-12-04T03:24:38.000Z",
  "title": "A construction of generators of $Z(\\mathfrak{so}_{n})$",
  "authors": [
    "Kenji Taniguchi"
  ],
  "comment": "16 pages",
  "journal": "Josai Mathematical Monographs vol.6 (2013), 93--108",
  "categories": [
    "math.RT"
  ],
  "abstract": "We construct generators of the center of the universal enveloping algebra of the complex orthogonal Lie algebra realized as the alternative matrices of size $n$. These elements are constructed in accordance with the Iwasawa decomposition of the real rank one indefinite orthogonal Lie algebra. We also discuss the Iwasawa decomposition of the Pfaffian.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-04T03:24:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B35",
      "22E45"
    ],
    "keywords": [
      "indefinite orthogonal lie algebra",
      "iwasawa decomposition",
      "construction",
      "complex orthogonal lie algebra",
      "universal enveloping algebra"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.0607T"
    }
  }
}