{
  "id": "1502.07287",
  "version": "v1",
  "published": "2015-02-25T18:28:07.000Z",
  "updated": "2015-02-25T18:28:07.000Z",
  "title": "Representations of Leibniz Algebras",
  "authors": [
    "Fialowski Alice",
    "Mihálka Éva Zsuzsanna"
  ],
  "comment": "to appear Algebras and Representation Theory 2015",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper we prove that every irreducible representation of a Leibniz algebra can be obtained from irreducible representations of the semisimple Lie algebra from the Levi decomposition. We also prove that - in general - for (semi)simple Leibniz algebras it is not true that a representation can be decomposed to a direct sum of irreducible components.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-25T18:28:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17D99"
    ],
    "keywords": [
      "irreducible representation",
      "simple leibniz algebras",
      "semisimple lie algebra",
      "levi decomposition",
      "direct sum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}