{
  "id": "1804.06951",
  "version": "v1",
  "published": "2018-04-19T00:17:00.000Z",
  "updated": "2018-04-19T00:17:00.000Z",
  "title": "Character formulae in category $\\mathcal O$ for exceptional Lie superalgebra $G(3)$",
  "authors": [
    "Shun-Jen Cheng",
    "Weiqiang Wang"
  ],
  "comment": "28 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We classify the blocks, compute the Verma flags of tilting and projective modules in the BGG category $\\mathcal O$ for the exceptional Lie superalgebra $G(3)$. The projective injective modules in $\\mathcal O$ are classified. We also compute the Jordan-H\\\"older multiplicities of the Verma modules in $\\mathcal O$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-19T00:17:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B67"
    ],
    "keywords": [
      "exceptional lie superalgebra",
      "character formulae",
      "verma modules",
      "verma flags",
      "bgg category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}