{
  "id": "2006.05705",
  "version": "v1",
  "published": "2020-06-10T07:54:24.000Z",
  "updated": "2020-06-10T07:54:24.000Z",
  "title": "Ext groups in the category of bimodules over a simple Leibniz algebra",
  "authors": [
    "Jean Mugniery",
    "Friedrich Wagemann"
  ],
  "categories": [
    "math.AT",
    "math.RA"
  ],
  "abstract": "In this article, we generalize Loday and Pirashvili's [10] computation of the Ext-category of Leibniz bimodules for a simple Lie algebra to the case of a simple (non Lie) Leibniz algebra. Most of the arguments generalize easily, while the main new ingredient is the Feldvoss-Wagemann's cohomology vanishing theorem for semi-simple Leibniz algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-10T07:54:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ext groups",
      "feldvoss-wagemanns cohomology vanishing theorem",
      "semi-simple leibniz algebras",
      "simple lie algebra",
      "leibniz bimodules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}