{
  "id": "math/0610976",
  "version": "v1",
  "published": "2006-10-31T19:42:00.000Z",
  "updated": "2006-10-31T19:42:00.000Z",
  "title": "The Hopf algebras of type B quasisymmetric functions and peak functions",
  "authors": [
    "Samuel K. Hsiao",
    "T. Kyle Petersen"
  ],
  "comment": "9 pages",
  "categories": [
    "math.CO",
    "math.RA"
  ],
  "abstract": "We show that with the appropriate choice of coproduct, the type B quasisymmetric functions form a Hopf algebra, and the recently introduced type B peak functions form a Hopf subalgebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-10-31T19:42:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hopf algebra",
      "quasisymmetric functions form",
      "peak functions form",
      "appropriate choice"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10976H"
    }
  }
}