{
  "id": "math/0405155",
  "version": "v1",
  "published": "2004-05-09T18:12:31.000Z",
  "updated": "2004-05-09T18:12:31.000Z",
  "title": "The Algebra of Schubert Calculus",
  "authors": [
    "Letterio Gatto"
  ],
  "comment": "34 pages, Key words: Quantum Schubert Calculus, Hasse-Schmidt derivations on exterior algebras",
  "categories": [
    "math.AG"
  ],
  "abstract": "A flexible unified framework for both classical and quantum Schubert calculus is proposed. It is based on a natural combinatorial approach relying on the Hasse-Schmidt extension of a certain family of pairwise commuting endomorphisms of an infinite free Z-module M to its exterior algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-05-09T18:12:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M15",
      "14N15",
      "14H55"
    ],
    "keywords": [
      "infinite free z-module",
      "quantum schubert calculus",
      "hasse-schmidt extension",
      "exterior algebra",
      "natural combinatorial approach relying"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......5155G"
    }
  }
}