{
  "id": "1303.3487",
  "version": "v2",
  "published": "2013-03-14T15:56:49.000Z",
  "updated": "2013-11-05T18:22:36.000Z",
  "title": "A geometric construction of generalized q-Schur algebras",
  "authors": [
    "Stephen Doty",
    "Yiqiang Li"
  ],
  "comment": "Typos corrected. Final version. To appear in the Proceedings of the AMS Special Sessions on Geometric and Algebraic Aspects of Representation Theory and Quantum Groups and Noncommutative Algebraic Geometry",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We show that the algebras constructed in [Li10] and [Li12] are generalized q-Schur algebras as defined in [D03]. This provides a geometric construction of generalized q-Schur algebras in types A, D and E. We give a parameterization of Nakajima's Lagrangian quiver variety of type D associated to a certain highest weight.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-05T18:22:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G43",
      "17B37"
    ],
    "keywords": [
      "generalized q-schur algebras",
      "geometric construction",
      "nakajimas lagrangian quiver variety",
      "highest weight",
      "parameterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.3487D"
    }
  }
}