{
  "id": "0903.4501",
  "version": "v4",
  "published": "2009-03-26T09:14:48.000Z",
  "updated": "2010-08-29T03:00:14.000Z",
  "title": "Schubert calculus and the Hopf algebra structures of exceptional Lie groups",
  "authors": [
    "Haibao Duan",
    "Xuezhi Zhao"
  ],
  "comment": "22 pages",
  "journal": "Forum Mathematicum, Volume 26, Issue 1, Jan 2014, p.113-140",
  "categories": [
    "math.AT",
    "math.AG"
  ],
  "abstract": "Let G be an exceptional Lie group with a maximal torus T. Based on common properties in the Schubert presentation of the cohomology ring H*(G/T;F_{p}) DZ1, and concrete expressions of generalized Weyl invariants for G over F_{p}, we obtain a unified approach to the structure of H*(G;F_{p}) as a Hopf algebra over the Steenrod algebra A_{p}. The results has been applied in Du2 to determine the near--Hopf ring structure on the integral cohomology of all exceptional Lie groups.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2010-08-29T03:00:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57T15",
      "14M15"
    ],
    "keywords": [
      "exceptional lie group",
      "hopf algebra structures",
      "schubert calculus",
      "maximal torus",
      "steenrod algebra"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.4501D"
    }
  }
}