{
  "annotation_id": "f630469a-9104-4bcb-aab5-5051f0177a57",
  "date_created": "2026-02-17T05:53:20.535000Z",
  "date_modified": "2026-02-17T05:53:20.535000Z",
  "file_hash": "5fccd7f90385769e9abaddaf5abd57db3838347015bb945490563141184d2a50",
  "private": false,
  "record": {
    "abstract": "In this paper, we introduce a new infinite-dimensional Lie superalgebra $\\mathcal{S}$ called the super extended Ovsienko--Roger algebra. This algebra is obtained by determining the annihilation superalgebra of the Lie conformal superalgebra $S=S_{\\bar0}\\oplus S_{\\bar{1}}$ with $S_{\\bar{0}}=\\mathbb{C}[\\partial]L\\oplus\\mathbb{C}[\\partial]W$, $S_{\\bar{1}}=\\mathbb{C}[\\partial]G$ and non-trivial $\\lambda$-brackets $[L_\\lambda L]=(\\partial+2\\lambda)L$, $[L_\\lambda G]=(\\partial+\\lambda)G$, $[L_\\lambda W]=[G_\\lambda G]=\\partial W$. Then we construct a class of simple restricted $\\mathcal{S}$-modules, which are induced from simple modules of some finite dimensional solvable Lie superalgebras under certain conditions. Moreover, we obtain the classification of simple generalized Verma modules over $\\mathcal{S}$ and we show that the Verma module of $\\mathcal{S}$ is always reducible.",
    "arxiv_id": "2601.09277",
    "authors": [
      "Jinrong Wang",
      "Xiaoqing Yue"
    ],
    "categories": [
      "math.RT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Simple restricted modules over a new Lie superalgebra extended by the Ovsienko--Roger algebra",
    "url": "https://arxiv.org/abs/2601.09277",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "86a57266-0c6d-4f7c-aca9-e93d5067604d",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}