{
  "id": "2202.04401",
  "version": "v1",
  "published": "2022-02-09T11:26:07.000Z",
  "updated": "2022-02-09T11:26:07.000Z",
  "title": "Representations of affine Lie superalgebras and their quantization in type A",
  "authors": [
    "Luan Pereira Bezerra",
    "Lucas Calixto",
    "Vyacheslav Futorny",
    "Iryna Kashuba"
  ],
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We construct a new family of irreducible modules over any basic classical affine Kac-Moody Lie superalgebra which are induced from modules over the Heisenberg subalgebra. We also obtain irreducible deformations of these modules for the quantum affine superalgebra of type A.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-09T11:26:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B67",
      "17B37"
    ],
    "keywords": [
      "affine lie superalgebras",
      "representations",
      "classical affine kac-moody lie superalgebra",
      "quantization",
      "basic classical affine kac-moody lie"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}