{
  "id": "1110.3851",
  "version": "v1",
  "published": "2011-10-17T23:50:15.000Z",
  "updated": "2011-10-17T23:50:15.000Z",
  "title": "Highest Weight Categories For Number Rings",
  "authors": [
    "Annette Pilkington"
  ],
  "comment": "47 Pages",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "This paper examines the concept of a stratified exact category in the context of number rings and corresponding Galois groups. BGG reciprocity and duality are proven for these categories making them highest weight categories. The strong connections between the structure of the category and ramification in the ring are explored.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-17T23:50:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "16S50",
      "16D90",
      "11R04",
      "18E10"
    ],
    "keywords": [
      "highest weight categories",
      "number rings",
      "stratified exact category",
      "paper examines",
      "corresponding galois groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.3851P"
    }
  }
}