{
  "id": "1708.06410",
  "version": "v1",
  "published": "2017-08-21T20:28:02.000Z",
  "updated": "2017-08-21T20:28:02.000Z",
  "title": "Some generalizations of Schur functors",
  "authors": [
    "Steven V Sam",
    "Andrew Snowden"
  ],
  "comment": "13 pages",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "The theory of Schur functors provides a powerful and elegant approach to the representation theory of GL_n - at least to the so-called polynomial representations - especially to questions about how the theory varies with n. We develop parallel theories that apply to other classical groups and to non-polynomial representations of GL_n. These theories can also be viewed as linear analogs of the theory of FI-modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-21T20:28:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A69",
      "20G05"
    ],
    "keywords": [
      "schur functors",
      "generalizations",
      "elegant approach",
      "linear analogs",
      "theory varies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}