Home
File Metadata
q-alg_9712040.txt
Annotation: dorsal/arxiv

dorsal/arxiv

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

Double Lie algebras and Manin triples

Authors	P. Stachura
Categories	q-alg math.QA
ArXiv ID	q-alg/9712040
URL	https://arxiv.org/abs/q-alg/9712040

Abstract

The construction of Lie bialgebra from double Lie algebra is presented. It is used to relate some types of cobracket on inhomogenous so(p,q) algebras with double Lie algebra structures on so(p+1,q) or so(p,q+1). Also it is shown that the cobracket corresponding to kappa-deformation gives rise to complete Poisson-Lie Euclidean groups and non-complete Poincare groups.

{
  "annotation_id": "98fd10a8-70f7-41e9-9062-91e44c7c321e",
  "date_created": "2026-03-02T18:01:28.069000Z",
  "date_modified": "2026-03-02T18:01:28.069000Z",
  "file_hash": "702b2068e1c5fe7c24bb8a44c886d30ebc30557533efcb4fcdcb721209042b76",
  "private": false,
  "record": {
    "abstract": "The construction of Lie bialgebra from double Lie algebra is presented. It is\nused to relate some types of cobracket on inhomogenous so(p,q) algebras with\ndouble Lie algebra structures on so(p+1,q) or so(p,q+1). Also it is shown that\nthe cobracket corresponding to kappa-deformation gives rise to complete\nPoisson-Lie Euclidean groups and non-complete Poincare groups.",
    "arxiv_id": "q-alg/9712040",
    "authors": [
      "P. Stachura"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Double Lie algebras and Manin triples",
    "url": "https://arxiv.org/abs/q-alg/9712040"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "43bd6d83-99a3-41ac-a659-8c893a7323bf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}