{
  "annotation_id": "e65e7f3f-6cf9-4108-b23a-00d5161e6154",
  "date_created": "2026-03-02T18:01:25.093000Z",
  "date_modified": "2026-03-02T18:01:25.093000Z",
  "file_hash": "63c3bb9b6ecbe1e2b74863caf139bab5d90d354cc625e06f519d7038a88f5a02",
  "private": false,
  "record": {
    "abstract": "In this paper we give a geometric construction of Cherednik\u0027s double affine\nHecke algebra.\n  We construct the algebra as the equivariant $K$-theory of the Lagrangian\nsubvariety of the cotangent variety of the square of the flag variety of $G$,\nthe variety being given by the union of the conormal bundles to the $G$-orbits\non $\\flag\\times\\flag$.\n  This is a generalisation of work of Kazhdan and Lusztig to the Kac-Moody\ncase, and is suitable for describing a certain class of modules for this\nalgebra. In a paper in preparation we will do this, in the case $G$ is affine\n(Cherednik\u0027s case).",
    "arxiv_id": "q-alg/9508019",
    "authors": [
      "H. Garland",
      "I. Grojnowski"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Affine Hecke algebras associated to Kac-Moody groups",
    "url": "https://arxiv.org/abs/q-alg/9508019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "371528b8-325e-4294-ad94-2b1af9193891",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}