{
  "id": "math/0309303",
  "version": "v1",
  "published": "2003-09-18T15:52:03.000Z",
  "updated": "2003-09-18T15:52:03.000Z",
  "title": "A New Multiplicity Formula for the Weyl Modules of Type A",
  "authors": [
    "Jiachen Ye",
    "Zhongguo Zhou"
  ],
  "comment": "13 pages",
  "journal": "Commun. Algebra 32(2005), no. 12, 4361-4373",
  "doi": "10.1080/00927870500274465",
  "categories": [
    "math.RT"
  ],
  "abstract": "A monomial basis and a filtration of subalgebras for the universal enveloping algebra $U(g_l)$ of a complex simple Lie algebra $g_l$ of type $A_l$ is given in this note. In particular, a new multiplicity formula for the Weyl module $V(\\lambda)$ of $U(g_l)$ is obtained in this note.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-09-18T15:52:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "20G05"
    ],
    "keywords": [
      "weyl module",
      "multiplicity formula",
      "complex simple lie algebra",
      "universal enveloping algebra",
      "monomial basis"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......9303Y"
    }
  }
}