{
  "id": "1408.3347",
  "version": "v2",
  "published": "2014-08-14T17:08:28.000Z",
  "updated": "2014-10-14T13:38:56.000Z",
  "title": "Spherical subgroups of Kac-Moody groups and transitive actions on spherical varieties",
  "authors": [
    "Guido Pezzini"
  ],
  "comment": "v2: Some changes in the introduction, and added a new section with a proof of Conjecture 17.1 of version 1",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "We define and study a class of spherical subgroups of a Kac-Moody group. In analogy with the standard theory of spherical varieties, we introduce a combinatorial object associated with such a subgroup, its homogeneous spherical datum, and we prove that it satisfies the same axioms as in the finite-dimensional case. Our main tool is a study of varieties that are spherical under the action of a connected reductive group L, and come equipped with a transitive action of a group containing L as a Levi subgroup.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-14T17:08:28.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-10-14T13:38:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M27",
      "14M17",
      "14J50",
      "20G44"
    ],
    "keywords": [
      "kac-moody group",
      "transitive action",
      "spherical subgroups",
      "spherical varieties",
      "levi subgroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.3347P"
    }
  }
}