{
  "id": "1809.08781",
  "version": "v1",
  "published": "2018-09-24T07:08:54.000Z",
  "updated": "2018-09-24T07:08:54.000Z",
  "title": "Symmetric powers, indecomposables and representation stability",
  "authors": [
    "Geoffrey Powell"
  ],
  "comment": "35 pages. Comments welcome",
  "categories": [
    "math.AT"
  ],
  "abstract": "Working over the prime field F_p, the structure of the indecomposables Q^* for the action of the algebra of Steenrod reduced powers A(p) on the symmetric power functors S^* is studied by exploiting the theory of strict polynomial functors. In particular, working at the prime 2, representation stability is exhibited for certain related functors, leading to a Conjectural representation stability description of quotients of Q^* arising from the polynomial filtration of symmetric powers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-24T07:08:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55S10",
      "20G43"
    ],
    "keywords": [
      "indecomposables",
      "conjectural representation stability description",
      "strict polynomial functors",
      "symmetric power functors",
      "steenrod reduced powers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}