{
  "id": "0707.3845",
  "version": "v1",
  "published": "2007-07-25T23:56:07.000Z",
  "updated": "2007-07-25T23:56:07.000Z",
  "title": "Modules of constant Jordan type",
  "authors": [
    "Jon F. Carlson",
    "Eric M. Friedlander",
    "Julia Pevtsova"
  ],
  "comment": "47 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We introduce the class of modules of constant Jordan type for a finite group scheme $G$ over a field $k$ of characteristic $p > 0$. This class is closed under taking direct sums, tensor products, duals, Heller shifts and direct summands, and includes endotrivial modules. It contains all modules in an Auslander-Reiten component which has at least one module in the class. Highly non-trivial examples are constructed using cohomological techniques. We offer conjectures suggesting that there are strong conditions on a partition to be the Jordan type associated to a module of constant Jordan type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-25T23:56:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G10",
      "20C20",
      "20G10"
    ],
    "keywords": [
      "constant jordan type",
      "finite group scheme",
      "direct summands",
      "offer conjectures",
      "highly non-trivial examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.3845C"
    }
  }
}