{
  "id": "math/0211289",
  "version": "v2",
  "published": "2002-11-19T08:47:57.000Z",
  "updated": "2002-12-05T01:52:46.000Z",
  "title": "Gelfand-Tsetlin bases for classical Lie algebras",
  "authors": [
    "A. I. Molev"
  ],
  "comment": "65 pages, bibliography is extended, minor corrections and changes are made",
  "journal": "in \"Handbook of Algebra\", Vol. 4, (M. Hazewinkel, Ed.), Elsevier, 2006, pp. 109-170",
  "categories": [
    "math.RT",
    "math-ph",
    "math.MP",
    "math.QA"
  ],
  "abstract": "This is a review paper on the Gelfand-Tsetlin type bases for representations of the classical Lie algebras. Different approaches to construct the original Gelfand-Tsetlin bases for representations of the general linear Lie algebra are discussed. Weight basis constructions for representations of the orthogonal and symplectic Lie algebras are reviewed. These rely on the representation theory of the B,C,D type twisted Yangians",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-12-05T01:52:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classical lie algebras",
      "general linear lie algebra",
      "representation",
      "original gelfand-tsetlin bases",
      "symplectic lie algebras"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 65,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....11289M"
    }
  }
}