{
  "id": "2101.05642",
  "version": "v1",
  "published": "2021-01-14T14:56:20.000Z",
  "updated": "2021-01-14T14:56:20.000Z",
  "title": "Ribbon tiling and character formula for periplectic Lie superalgebras",
  "authors": [
    "Byung-Hak Hwang",
    "Jae-Hoon Kwon"
  ],
  "comment": "20 pages",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We give a combinatorial formula for the character of a finite-dimensional irreducible representation of the periplectic Lie superalgebra $\\mathfrak{p}(n)$. The character of irreducible module $L(\\mu)$ is given by a cancellation-free alternating sum over the characters of thick or thin Kac modules, $\\Delta(\\lambda)$ or $\\nabla(\\lambda)$, such that there exists a ribbon tiling of a skew Young diagram $\\lambda/\\mu$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-14T14:56:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "05E10"
    ],
    "keywords": [
      "periplectic lie superalgebra",
      "character formula",
      "ribbon tiling",
      "thin kac modules",
      "skew young diagram"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}