{
  "id": "1906.03453",
  "version": "v1",
  "published": "2019-06-08T13:30:30.000Z",
  "updated": "2019-06-08T13:30:30.000Z",
  "title": "Finite dimensional irreducible representations of the nullity 2 centreless core $\\mathfrak{g}_{2n,ρ}(\\mathbb{C}_q)$",
  "authors": [
    "Sandeep Bhargava",
    "Hongjia Chen",
    "Yun Gao"
  ],
  "comment": "25 pages",
  "categories": [
    "math.RT",
    "math.QA",
    "math.RA"
  ],
  "abstract": "We study the finite-dimensional irreducible representations of the nullity 2 centreless core $\\mathfrak{g}_{2n,\\rho}(\\mathbb{C}_q)$ by investigating the structure of the $\\mathrm{BC}_n$-graded Lie algebra $\\mathfrak{g}_{2n,\\rho}(R)$, where $R$ is a unital involutory associative algebra over a field $k$ of characteristic zero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-08T13:30:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B05",
      "17B10",
      "17B22",
      "17B65",
      "17B67",
      "17B70"
    ],
    "keywords": [
      "finite dimensional irreducible representations",
      "centreless core",
      "unital involutory associative algebra",
      "finite-dimensional irreducible representations",
      "graded lie algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}