{
  "id": "0903.1062",
  "version": "v1",
  "published": "2009-03-05T18:59:46.000Z",
  "updated": "2009-03-05T18:59:46.000Z",
  "title": "Imaginary Verma modules and Kashiwara algebras for $U_q(\\widehat{\\mathfrak{sl}(2)})$",
  "authors": [
    "Ben Cox",
    "Vyacheslav Futorny",
    "Kailash C. Misra"
  ],
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We consider imaginary Verma modules for quantum affine algebra $U_q(\\hat{\\mathfrak{sl}(2)})$ and construct Kashiwara type operators and the Kashiwara algebra $\\mathcal K_q$. We show that a certain quotient $\\mathcal N_q^-$ of $U_q(\\hat{\\mathfrak{sl}(2)})$ is a simple $\\mathcal K_q$-module.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-05T18:59:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B67",
      "81R10"
    ],
    "keywords": [
      "imaginary verma modules",
      "kashiwara algebra",
      "construct kashiwara type operators",
      "quantum affine algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.1062C"
    }
  }
}