{
  "id": "0905.1280",
  "version": "v2",
  "published": "2009-05-08T15:05:48.000Z",
  "updated": "2010-03-30T15:02:10.000Z",
  "title": "Abstract involutions of algebraic groups and of Kac-Moody groups",
  "authors": [
    "Ralf Köhl",
    "Max Horn",
    "Bernhard Muhlherr"
  ],
  "doi": "10.1515/JGT.2010.033",
  "categories": [
    "math.GR",
    "math.CO"
  ],
  "abstract": "Based on the second author's thesis in this article we provide a uniform treatment of abstract involutions of algebraic groups and of Kac-Moody groups using twin buildings, RGD systems, and twisted involutions of Coxeter groups. Notably we simultaneously generalize the double coset decompositions established by Springer and by Helminck-Wang for algebraic groups and by Kac-Wang for certain Kac-Moody groups, we analyze the filtration studied by Devillers-Muhlherr in the context of arbitrary involutions, and we answer a structural question on the combinatorics of involutions of twin buildings raised by Bennett-Gramlich-Hoffman-Shpectorov.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-03-30T15:02:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E42",
      "51E24"
    ],
    "keywords": [
      "algebraic groups",
      "kac-moody groups",
      "abstract involutions",
      "twin buildings",
      "second authors thesis"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.1280K"
    }
  }
}