{
  "id": "1611.06502",
  "version": "v1",
  "published": "2016-11-20T11:16:40.000Z",
  "updated": "2016-11-20T11:16:40.000Z",
  "title": "On a q-Identity Arising from the Dimension of a Representation of GL(n) over a Finite Field",
  "authors": [
    "Ofir Gorodetsky",
    "Zahi Hazan"
  ],
  "comment": "12 pages. Comments are welcome",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "The present paper proves a $q$-identity, which arises from a representation $\\pi_{N,\\psi}$ of $\\text{GL}_n(\\mathbb{F}_q)$. This identity gives a significant simplification for the dimension of $\\pi_{N,\\psi}$, which allowed the second author to obtain a description of the representation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-20T11:16:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite field",
      "representation",
      "q-identity arising",
      "significant simplification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}