{
  "id": "1503.02362",
  "version": "v1",
  "published": "2015-03-09T02:46:01.000Z",
  "updated": "2015-03-09T02:46:01.000Z",
  "title": "Lifting preprojective algebras to orders and categorifying partial flag varieties",
  "authors": [
    "Laurent Demonet",
    "Osamu Iyama"
  ],
  "comment": "31 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this article, we describe a categorification of the cluster algebra structure of multi-homogeneous coordinate rings of partial flag varieties of type $A$ and $D$ using Cohen-Macaulay modules over orders. To achieve this, we construct several equivalences of categories, relating Cohen-Macaulay modules over an order $A$ to finitely generated modules over certain finite length algebras obtained as quotient of $A$ by an idempotent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-09T02:46:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "categorifying partial flag varieties",
      "lifting preprojective algebras",
      "cluster algebra structure",
      "finite length algebras",
      "multi-homogeneous coordinate rings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150302362D"
    }
  }
}