Home
File Metadata
q-alg_9712007.txt
Annotation: dorsal/arxiv

dorsal/arxiv

Added by Arxiv Bot | Added: 2026-03-02 18:01 | Views: 1 | Source: arXiv Dataset IDs (Model)

Cohomology of the Lie algebras of differential operators: lifting formulas

Authors	Boris Shoikhet
Categories	q-alg math.QA
ArXiv ID	q-alg/9712007
URL	https://arxiv.org/abs/q-alg/9712007

Abstract

We construct the explicit formula for the (2n+1)-cocycle of the Lie algebra of (pseudo)differential operators on a n-dimensional space. We prove that this formula in fact defines a cocycle for n=1 and n=2.

{
  "annotation_id": "5384d710-9d9b-4a72-9657-58336049ab43",
  "date_created": "2026-03-02T18:01:28.064000Z",
  "date_modified": "2026-03-02T18:01:28.064000Z",
  "file_hash": "8f145b0c99311546167fb05db76012f8cb5b1f0899d5da2675dfbf366b36fc4d",
  "private": false,
  "record": {
    "abstract": "We construct the explicit formula for the (2n+1)-cocycle of the Lie algebra\nof (pseudo)differential operators on a n-dimensional space. We prove that this\nformula in fact defines a cocycle for n=1 and n=2.",
    "arxiv_id": "q-alg/9712007",
    "authors": [
      "Boris Shoikhet"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Cohomology of the Lie algebras of differential operators: lifting   formulas",
    "url": "https://arxiv.org/abs/q-alg/9712007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b439fa2c-73d0-4389-9e3b-fcb5b3d2f4ae",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}