{
  "id": "1504.04204",
  "version": "v1",
  "published": "2015-04-16T12:27:29.000Z",
  "updated": "2015-04-16T12:27:29.000Z",
  "title": "Invariant Differential Operators for Non-Compact Lie Groups: the $SO^*(12)$ Case",
  "authors": [
    "V. K. Dobrev"
  ],
  "comment": "7 pages, 1 figure, Latex2e, Invited talk at the XXX International Colloquium on Group Theoretical Methods in Physics (Ghent, July 2014). arXiv admin note: substantial text overlap with arXiv:1402.0190, arXiv:1312.5998",
  "journal": "J. Phys.: Conf. Ser. 597 (2015) 012032",
  "categories": [
    "math.RT"
  ],
  "abstract": "In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact algebra $so^*(12)$. We give the main multiplets of indecomposable elementary representations. Due to the recently established parabolic relations the multiplet classification results are valid also for the algebra $so(6,6)$ with suitably chosen maximal parabolic subalgebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-16T12:27:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "invariant differential operators",
      "non-compact lie groups",
      "suitably chosen maximal parabolic subalgebra",
      "multiplet classification results",
      "main multiplets"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1742-6596/597/1/012032",
      "journal": "Journal of Physics Conference Series",
      "year": 2015,
      "month": "Apr",
      "volume": 597,
      "number": 1,
      "pages": "012032"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015JPhCS.597a2032D"
    }
  }
}