{
  "annotation_id": "c2f6379b-58a3-4a63-b7c4-bd9badb76d0a",
  "date_created": "2026-03-02T18:01:28.357000Z",
  "date_modified": "2026-03-02T18:01:28.357000Z",
  "file_hash": "af4218a46797ef91f53e2caeaa7a2f62fec5a99d084e47c8da0772010cc00502",
  "private": false,
  "record": {
    "abstract": "The paper is the sequel to q-alg/9704011. We extend the Drinfeld-Sokolov\nreduction procedure to q-difference operators associated with arbitrary\nsemisimple Lie algebras. This leads to a new elliptic deformation of the Lie\nbialgebra structure on the associated loop algebra. The related classical\nr-matrix is explicitly described in terms of the Coxeter transformation. We\nalso present a cross-section theorem for q-gauge transformations which\ngeneralizes a theorem due to R.Steinberg.",
    "arxiv_id": "q-alg/9702016",
    "authors": [
      "M. A. Semenov-Tian-Shansky",
      "A. V. Sevostyanov"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1007/s002200050312",
    "title": "Drinfeld-Sokolov reduction for difference operators and deformations of   W-algebras. II. General Semisimple Case",
    "url": "https://arxiv.org/abs/q-alg/9702016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4b0cdce9-4b58-45b3-8b93-70a61fb3f44c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}