{
  "id": "1610.07973",
  "version": "v1",
  "published": "2016-10-25T17:22:03.000Z",
  "updated": "2016-10-25T17:22:03.000Z",
  "title": "Geometric realizations of affine Kac-Moody algebras",
  "authors": [
    "Vyacheslav Futorny",
    "Libor Křižka",
    "Petr Somberg"
  ],
  "categories": [
    "math.RT",
    "math-ph",
    "math.AG",
    "math.FA",
    "math.MP",
    "math.OA"
  ],
  "abstract": "The goal of the present paper is to obtain new free field realizations of affine Kac-Moody algebras motivated by geometric representation theory for generalized flag manifolds of finite-dimensional semisimple Lie groups. We provide an explicit construction of a large class of irreducible modules associated with certain parabolic subalgebras covering all known special cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-25T17:22:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "affine kac-moody algebras",
      "geometric realizations",
      "finite-dimensional semisimple lie groups",
      "geometric representation theory",
      "free field realizations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}