{
  "id": "2212.06698",
  "version": "v1",
  "published": "2022-12-13T16:14:36.000Z",
  "updated": "2022-12-13T16:14:36.000Z",
  "title": "Homology of the complexes of finite Verma modules over $CK_6$",
  "authors": [
    "Lucia Bagnoli"
  ],
  "comment": "37 pages. arXiv admin note: text overlap with arXiv:2108.00458",
  "categories": [
    "math.RT"
  ],
  "abstract": "We compute the homology of the first and third quadrants of the complexes of finite Verma modules over the annihilation superalgebra $\\mathcal{A}(CK_{6})\\cong E(1,6)$, associated with the conformal superalgebra $CK_6$, obtained in \\cite{ck6}. This computation allows us to explicitly realize the irreducible quotients of degenerate finite Verma modules over $\\mathcal{A}(CK_{6})$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-13T16:14:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "degenerate finite verma modules",
      "conformal superalgebra",
      "annihilation superalgebra",
      "third quadrants",
      "computation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}