{
  "id": "2108.00458",
  "version": "v1",
  "published": "2021-08-01T13:50:52.000Z",
  "updated": "2021-08-01T13:50:52.000Z",
  "title": "Computation of the homology of the complexes of finite Verma modules for $K'_4$",
  "authors": [
    "Lucia Bagnoli"
  ],
  "comment": "50 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We compute the homology of the complexes of finite Verma modules over the annihilation superalgebra $\\mathcal A(K'_{4})$, associated with the conformal superalgebra $K'_{4}$, obtained in \\cite{K4}. We use the computation of the homology in order to provide an explicit realization of all the irreducible quotients of finite Verma modules over $\\mathcal A(K'_{4})$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-01T13:50:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite verma modules",
      "computation",
      "explicit realization",
      "annihilation superalgebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 50,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}