{
  "id": "math/9810002",
  "version": "v1",
  "published": "1998-10-01T10:59:04.000Z",
  "updated": "1998-10-01T10:59:04.000Z",
  "title": "Flag vectors",
  "authors": [
    "Jonathan Fine"
  ],
  "comment": "LaTeX 2e, 8 pages",
  "categories": [
    "math.CO",
    "math.GR",
    "math.QA",
    "math.RA"
  ],
  "abstract": "This paper defines for each object $X$ that can be constructed out of a finite number of vertices and cells a vector $fX$ lying in a finite dimensional vector space. This is the flag vector of $X$. It is hoped that the quantum topological invariants of a manifold $M$ can be expressed as linear functions of the flag vector of the $i$-graph that arises from any suitable triangulation $T$ of $M$. Flag vectors are also defined for finite groups and more generally for $n$-ary relations. Some problems, and suggested connections with other constructions, particularly that of the associahedron and so on, conclude the presentation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-10-01T10:59:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B05"
    ],
    "keywords": [
      "flag vector",
      "finite dimensional vector space",
      "linear functions",
      "paper defines",
      "ary relations"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math.....10002F"
    }
  }
}