{
  "id": "2211.10669",
  "version": "v1",
  "published": "2022-11-19T11:36:03.000Z",
  "updated": "2022-11-19T11:36:03.000Z",
  "title": "Littlewood-Richardson coefficients and Kostka number",
  "authors": [
    "Sagar Shrivastava"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CO",
    "cs.CC",
    "math.RT"
  ],
  "abstract": "Littlewood-Richardson (LR) coefficients and Kostka Numbers appear in representation theory and combinatorics related to GLn . It is known that Kostka numbers can be represented as special Littlewood-Rischardson coefficient. In this paper, we show how one can represent LR coefficient in terms of Kostka numbers, and use the formulation to give a polynomial time algorithm for the same, hence showing that they belong to the same class of decision problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-19T11:36:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "68Q17",
      "05E10"
    ],
    "keywords": [
      "littlewood-richardson coefficients",
      "kostka numbers appear",
      "polynomial time algorithm",
      "represent lr coefficient",
      "special littlewood-rischardson coefficient"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}