{
  "id": "1601.05701",
  "version": "v1",
  "published": "2016-01-21T16:31:05.000Z",
  "updated": "2016-01-21T16:31:05.000Z",
  "title": "A Drinfeld presentation for the twisted Yangian $Y_3^+$",
  "authors": [
    "Jonathan S Brown"
  ],
  "comment": "34 pages",
  "categories": [
    "math.RT",
    "math.QA",
    "math.RA"
  ],
  "abstract": "We define the Drinfeld generators for $Y_3^+$, the twisted Yangian associated to the Lie algebra $\\mathfrak{so}_3(\\mathbb{C})$. This allows us to define shifted twisted Yangians, which are certain subalgebras of $Y_3^+$. We show that there are families of homomorphisms from the shifted twisted Yangians in $Y_3^+$ to the universal enveloping algebras of various orthogonal and symplectic Lie algebras, and we conjecture that the images of these homomorphisms are isomorphic to various finite $W$-algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-21T16:31:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10"
    ],
    "keywords": [
      "drinfeld presentation",
      "symplectic lie algebras",
      "define shifted twisted yangians",
      "drinfeld generators",
      "homomorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160105701B"
    }
  }
}