{
  "id": "1505.00653",
  "version": "v1",
  "published": "2015-05-04T14:28:13.000Z",
  "updated": "2015-05-04T14:28:13.000Z",
  "title": "Minimal inversion complete sets and maximal abelian ideals",
  "authors": [
    "Dmitri I. Panyushev"
  ],
  "comment": "17 pages",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "Let $\\mathfrak g$ be a simple Lie algebra, $\\mathfrak b$ a fixed Borel subalgebra, and $W$ the Weyl group of $\\mathfrak g$. In this note, we study a relationship between the maximal abelian ideals of $\\mathfrak b$ and the minimal inversion complete sets of $W$. The latter have been recently defined by Malvenuto et al. (J. Algebra, 424 (2015), 330-356.)",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-04T14:28:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B20",
      "17B22",
      "20F55"
    ],
    "keywords": [
      "minimal inversion complete sets",
      "maximal abelian ideals",
      "simple lie algebra",
      "weyl group",
      "fixed borel subalgebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}