{
  "id": "1409.5717",
  "version": "v1",
  "published": "2014-09-19T16:41:15.000Z",
  "updated": "2014-09-19T16:41:15.000Z",
  "title": "Extension fullness of the categories of Gelfand-Zeitlin and Whittaker modules",
  "authors": [
    "Kevin Coulembier",
    "Volodymyr Mazorchuk"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We prove that the categories of Gelfand-Zeitlin modules of g=gl_n and Whittaker modules associated with a semi-simple complex finite dimensional algebra g are extension full in the category of all g-modules. This is used to estimate and in some case determine the global dimension of blocks of the categories of Gelfand-Zeitlin and Whittaker modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-19T16:41:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "whittaker modules",
      "extension fullness",
      "semi-simple complex finite dimensional algebra",
      "gelfand-zeitlin modules",
      "global dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.5717C"
    }
  }
}