{
  "id": "1410.7981",
  "version": "v1",
  "published": "2014-10-29T13:43:51.000Z",
  "updated": "2014-10-29T13:43:51.000Z",
  "title": "Tensor product of Kraśkiewicz and Pragacz's modules",
  "authors": [
    "Masaki Watanabe"
  ],
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "This paper explores further properties of modules related with Schubert polynomials, introduced by Kra\\'skiewicz and Pragacz. In this paper we show that any tensor product of Kra\\'skiewicz-Pragacz modules admits a filtration by Kra\\'skiewicz-Pragacz modules. This result can be seen as a module-theoretic counterpart of a classical result that the product of Schubert polynomials is a positive sum of Schubert polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-29T13:43:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tensor product",
      "pragaczs modules",
      "schubert polynomials",
      "kraśkiewicz",
      "kraskiewicz-pragacz modules admits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.7981W"
    }
  }
}