{
  "id": "1607.08495",
  "version": "v1",
  "published": "2016-07-28T15:11:46.000Z",
  "updated": "2016-07-28T15:11:46.000Z",
  "title": "Simple modules for the partition algebra and monotone convergence of Kronecker coefficients",
  "authors": [
    "C. Bowman",
    "M. De Visscher",
    "J. Enyang"
  ],
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We construct bases of the simple modules for partition algebras which are indexed by paths in an alcove geometry. This allows us to give a concrete interpretation (and new proof) of the monotone convergence property for Kronecker coefficients using stratifications of the cell modules of the partition algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-28T15:11:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partition algebra",
      "kronecker coefficients",
      "simple modules",
      "monotone convergence property",
      "construct bases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}