{
  "id": "math/0506360",
  "version": "v1",
  "published": "2005-06-17T22:24:30.000Z",
  "updated": "2005-06-17T22:24:30.000Z",
  "title": "Grothendieck bialgebras, Partition lattices and symmetric functions in noncommutative variables",
  "authors": [
    "Nantel Bergeron",
    "Christophe Hohlweg",
    "Mercedes Rosas",
    "Mike Zabrocki"
  ],
  "comment": "17 pages",
  "journal": "Electron. J. Combin. 13 (2006), no. 1, Research Paper 75, 19 pp.",
  "categories": [
    "math.CO",
    "math.RA"
  ],
  "abstract": "We show that the Grothendieck bialgebra of the semi-tower of partition lattice algebras is isomorphic to the graded dual of the bialgebra of symmetric functions in noncommutative variables. In particular this isomorphism singles out a canonical new basis of the symmetric functions in noncommutative variables which would be an analogue of the Schur function basis for this bialgebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-06-17T22:24:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16S99",
      "05E05",
      "05E10",
      "16G30",
      "16S34",
      "16W30"
    ],
    "keywords": [
      "symmetric functions",
      "noncommutative variables",
      "grothendieck bialgebra",
      "partition lattice algebras",
      "schur function basis"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......6360B"
    }
  }
}