{
  "id": "2211.15170",
  "version": "v1",
  "published": "2022-11-28T09:31:52.000Z",
  "updated": "2022-11-28T09:31:52.000Z",
  "title": "Dynkin abelianisations of Lie algebras of exceptional type",
  "authors": [
    "Shreepranav Varma Enugandla"
  ],
  "comment": "10 pages, 2 figures, 1 table",
  "categories": [
    "math.RT"
  ],
  "abstract": "We consider degenerations of all simple Lie algebras of exceptional type obtained by embedding into affine Lie algebras. We give a filtration to consider this as an abelianisation of the original Lie algebra. We then show that the associated graded of simple, finite-dimensional modules are isomorphic to Demazure modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-28T09:31:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B67",
      "14M15"
    ],
    "keywords": [
      "exceptional type",
      "dynkin abelianisations",
      "simple lie algebras",
      "original lie algebra",
      "affine lie algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}