{
  "annotation_id": "23ec3578-589b-4d52-a957-171d9e6eaa99",
  "date_created": "2026-03-02T18:01:27.746000Z",
  "date_modified": "2026-03-02T18:01:27.746000Z",
  "file_hash": "2f65d0158c27c7174bb7749dc6e0d6cf667d92a25a5988d2241731ad8290d643",
  "private": false,
  "record": {
    "abstract": "The prime spectra of two families of algebras, $S^w$ and $\\check{S}^w$, $w\\in\nW,$ indexed by the Weyl group $W$ of a semisimple finitely dimensional are\nstudied. The algebras $S^w$ have been introduced by A.~Joseph; they are\n$q$-analogues of the algebras of regular functions on $w$-translates of the\nopen Bruhat cell of a semisimple Lie group $G$ corresponding to the Lie algebra\n$\\fg$.\n  We define a stratification of the spectra into components indexed by pairs\n$(y_1,y_2)$ of elements of the Weyl group satisfying $y_1\\leq w\\leq y_2$. Each\ncomponent admits a unique minimal ideal which is explicitly described. We show\nthe inclusion relation of closures to be that induced by Bruhat order.",
    "arxiv_id": "q-alg/9707009",
    "authors": [
      "Maria Gorelik"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "The prime spectrum of a quantum Bruhat cell translate",
    "url": "https://arxiv.org/abs/q-alg/9707009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b5d6cc23-9d2c-4035-b034-0e8f99ac1d2f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}