{
  "id": "2009.04147",
  "version": "v1",
  "published": "2020-09-09T08:02:19.000Z",
  "updated": "2020-09-09T08:02:19.000Z",
  "title": "On the homomorphisms between Parabolic Verma modules over Kac-Moody Algebras",
  "authors": [
    "Xingpeng Liu"
  ],
  "comment": "14 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We consider a more general parabolic category over symmetrizable Kac-Moody algebras. We introduce a Ringel dual between finite truncations of blocks of the parabolic category and a reductive rule of hom-spaces between parabolic Verma modules which yield some applications on the homomorphisms between parabolic Verma modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-09T08:02:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B67",
      "17B35",
      "18A40"
    ],
    "keywords": [
      "parabolic verma modules",
      "homomorphisms",
      "general parabolic category",
      "finite truncations",
      "ringel dual"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}