{
  "id": "1309.1822",
  "version": "v1",
  "published": "2013-09-07T05:23:02.000Z",
  "updated": "2013-09-07T05:23:02.000Z",
  "title": "Rational representations of the Yangian Y(gl_n)",
  "authors": [
    "Alexander Shapiro"
  ],
  "comment": "Formula for the image of the highest weight vector in the skew-symmetric case is corrected from the print version. This text, being a continuation of the series of papers [KN1], [KN2], [KN3], [KN4] closely (sometimes literally, when appropriate) follows the exposition of the mentioned works arXiv:math/0606265, arXiv:math/0703651, arXiv:math/0606272, arXiv:0801.0519",
  "journal": "Journal of Geometry and Physics 62 (2012), pp. 1677-1696",
  "doi": "10.1016/j.geomphys.2012.03.002",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We construct a series of rational representations of Y(gl_n) and intertwining operators between them. We find explicit expressions for the images of highest-weight vectors under the intertwining operators. Finally, we state a conjecture that all irreducible finite-dimensional rational Y(gl_n)-modules arise as images of the constructed intertwining operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-07T05:23:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rational representations",
      "irreducible finite-dimensional rational",
      "highest-weight vectors",
      "explicit expressions",
      "conjecture"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Geometry and Physics",
      "year": 2012,
      "month": "Jul",
      "volume": 62,
      "number": 7,
      "pages": 1677
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012JGP....62.1677S"
    }
  }
}