{
  "id": "1509.06072",
  "version": "v1",
  "published": "2015-09-20T23:20:07.000Z",
  "updated": "2015-09-20T23:20:07.000Z",
  "title": "On the unitary representations of the affine $ax+b$-group, $\\widehat{sl}(2,\\mathbb{R})$ and their relatives",
  "authors": [
    "Anton M. Zeitlin"
  ],
  "comment": "30 pages, to appear in \"Proceedings of Southeastern Lie Theory Workshop Series 2012-2014\", Proc. Symp. Pure Math., AMS, 2015",
  "categories": [
    "math.RT",
    "hep-th",
    "math-ph",
    "math.MP",
    "math.QA"
  ],
  "abstract": "This article focuses on two related topics: unitary representations of the loop $ax+b$-group and their relation to a loop version of the $\\Gamma$-function and the construction of continuous series for the $\\widehat{sl(2,\\mathbb{R})}$-algebra. Mainly this is a survey of some results from arXiv:1012.4826 , arXiv:1210.2135 alongside with the motivation for them both from the physical and mathematical points of view.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-20T23:20:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unitary representations",
      "loop version",
      "article focuses",
      "related topics",
      "construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1394215
    }
  }
}