{
  "id": "1512.05879",
  "version": "v1",
  "published": "2015-12-18T09:22:58.000Z",
  "updated": "2015-12-18T09:22:58.000Z",
  "title": "Upper bounds of homological invariants of $FI_G$-modules",
  "authors": [
    "Liping Li"
  ],
  "categories": [
    "math.RT",
    "math.KT",
    "math.RA"
  ],
  "abstract": "In this paper we use a pure homological approach to obtain upper bounds for a few homological invariants of $FI_G$-modules $V$. These upper bounds are expressed in terms of the generating degree and torsion degree, which measure the top and socle of $V$ under actions of non-invertible morphisms in the category respectively.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-18T09:22:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "upper bounds",
      "homological invariants",
      "pure homological approach",
      "torsion degree",
      "generating degree"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151205879L"
    }
  }
}