{
  "annotation_id": "2dc2e203-5c88-4b7e-af82-fce80d5a69c0",
  "date_created": "2026-03-02T18:01:28.478000Z",
  "date_modified": "2026-03-02T18:01:28.478000Z",
  "file_hash": "838d03f2cc4d2a1cd83582800de1cf5c1dbdf4bc0cf9b032624877b25c6dc082",
  "private": false,
  "record": {
    "abstract": "It is known that the semi-infinite cohomology spaces of the infinitely\ntwisted nilpotent subalgebra in an affine Lie algebra $g$ with coefficients in\nan integrable simple module over the affine Lie algebra have a base enumerated\nby elements of the corresponding affine Weyl group graded by the semiinfinite\nlength function. Let $U$ be the affine quantum group corresponding to $g$. It\nis possible to define a subalgebra in $U$ being the quantum analogue of the\nuniversal enveloping algebra of the infinitely twisted nilpotent subalgebra in\n$g$. In this paper we prove that for general values of the parameter $v$ the\nsemiinfinite cohomology of this associative algebra with coefficients in an\nintegrable simple module over $U$ coincides with the one of the corresponding\nLie subalgebra in $g$ with coefficients in the corresponding $g$-module.",
    "arxiv_id": "q-alg/9610020",
    "authors": [
      "Sergey Arkhipov"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Semiinfinite cohomology of quantum groups II",
    "url": "https://arxiv.org/abs/q-alg/9610020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dbe4caf2-7b45-4585-b9c8-f67638d846f2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}