{
  "id": "1910.08064",
  "version": "v1",
  "published": "2019-10-17T17:51:36.000Z",
  "updated": "2019-10-17T17:51:36.000Z",
  "title": "Indecomposable Objects of $\\underline{Rep}(GL_t)$ in Terms of Exterior Powers of the Tautological Object and its Dual",
  "authors": [
    "Christopher Ryba"
  ],
  "comment": "5 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "The purpose of this short note is to understand the Grothendieck ring of the Deligne category $\\underline{\\text{Rep}}(GL_t)$. We give a formula for the class of an indecomposable object in terms of exterior powers of the tautological object and its dual.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-17T17:51:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exterior powers",
      "indecomposable object",
      "tautological object",
      "short note",
      "deligne category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}