{
  "id": "math/0306414",
  "version": "v2",
  "published": "2003-06-29T14:51:07.000Z",
  "updated": "2013-09-06T22:27:44.000Z",
  "title": "The connection between representation theory and Schubert calculus",
  "authors": [
    "Harry Tamvakis"
  ],
  "comment": "14 pages; final version",
  "journal": "Enseign. Math. 50 (2004), 267-286",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "We describe a direct connection between the representation theory of the general linear group and classical Schubert calculus on the Grassmannian, which goes via the Chern-Weil theory of characteristic classes. We also explain why the analogous constructions do not give the same result for other Lie groups.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-09-06T22:27:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M15",
      "05E15",
      "22E46",
      "53C05"
    ],
    "keywords": [
      "representation theory",
      "general linear group",
      "direct connection",
      "chern-weil theory",
      "lie groups"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......6414T"
    }
  }
}