{
  "id": "2305.03241",
  "version": "v1",
  "published": "2023-05-05T01:50:24.000Z",
  "updated": "2023-05-05T01:50:24.000Z",
  "title": "Complete flagged homogeneous polynomials",
  "authors": [
    "Henry Ehrhard"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We introduce a new basis for the polynomial ring which lifts the complete homogeneous symmetric polynomials while retaining representation theoretic significance. Using a specialized RSK algorithm we give an explicit nonnegative expansion into key polynomials and, generalizing the special rim hook tabloids of E\\u{g}ecio\\u{g}lu and Remmel, give an explicit signed expansion for key polynomials into this new basis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-05T01:50:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05"
    ],
    "keywords": [
      "complete flagged homogeneous polynomials",
      "special rim hook tabloids",
      "retaining representation theoretic significance",
      "complete homogeneous symmetric polynomials",
      "explicit signed expansion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}