{
  "id": "2206.13735",
  "version": "v1",
  "published": "2022-06-28T03:40:52.000Z",
  "updated": "2022-06-28T03:40:52.000Z",
  "title": "Short $SL_2$-structures on simple Lie algebras",
  "authors": [
    "R. O. Stasenko"
  ],
  "categories": [
    "math.RT",
    "math.SG"
  ],
  "abstract": "Throughout the papers of E.B. Vinberg some non-abelian gradings of simple Lie algebras were introduced and investigated, namely short $SO_3 -$ and $SL_3$ - structures. We study another kind of them -- short $SL_2$ - structures. The main results relate to one-to-one corresponding between such structures and some special Jordan algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-28T03:40:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simple lie algebras",
      "structures",
      "special jordan algebras",
      "main results relate",
      "non-abelian gradings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}