{
  "id": "2108.10104",
  "version": "v1",
  "published": "2021-08-23T12:09:52.000Z",
  "updated": "2021-08-23T12:09:52.000Z",
  "title": "Representations of the orthosymplectic Yangian",
  "authors": [
    "A. I. Molev"
  ],
  "comment": "26 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We give a complete description of the finite-dimensional irreducible representations of the Yangian associated with the orthosymplectic Lie superalgebra $\\frak{osp}_{1|2}$. The representations are parameterized by monic polynomials in one variable, they are classified in terms of highest weights. We give explicit constructions of a family of elementary modules of the Yangian and show that a wide class of irreducible representations can be produced by taking tensor products of the elementary modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-23T12:09:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "orthosymplectic yangian",
      "elementary modules",
      "orthosymplectic lie superalgebra",
      "complete description",
      "finite-dimensional irreducible representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}