{
  "id": "math/0609003",
  "version": "v5",
  "published": "2006-08-31T20:47:26.000Z",
  "updated": "2006-12-14T12:41:01.000Z",
  "title": "Tensor product decompositions and open orbits in multiple flag varieties",
  "authors": [
    "Vladimir L. Popov"
  ],
  "comment": "23 pages. Footnote on upper bounds of separation indices of root systems is added (p. 15). In Example 11 some recent results are mentioned and new references are added",
  "journal": "J. Algebra, Vol. 313 (2007), 392-416",
  "doi": "10.1016/j.jalgebra.2006.11.042",
  "categories": [
    "math.RT",
    "math.AG",
    "math.CO"
  ],
  "abstract": "For a connected semisimple algebraic group $G$, we consider some special infinite series of tensor products of simple $G$-modules whose $G$-fixed point spaces are at most one-dimensional. We prove that their existence is closely related to the existence of open $G$-orbits in multiple flag varieties and address the problem of classifying such series.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2006-12-14T12:41:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G05",
      "14L30"
    ],
    "keywords": [
      "multiple flag varieties",
      "tensor product decompositions",
      "open orbits",
      "special infinite series",
      "connected semisimple algebraic group"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9003P"
    }
  }
}