dorsal/arxiv
View SchemaClassification of All Poisson-Lie Structures on an Infinite-Dimensional Jet Group
| Authors | Boris Kupershmidt, Ognyan Stoyanov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9506007 |
| URL | https://arxiv.org/abs/q-alg/9506007 |
| DOI | 10.1007/BF00400133 |
Abstract
A local classification of all Poisson-Lie structures on an infinite-dimensional group $G_{\infty}$ of formal power series is given. All Lie bialgebra structures on the Lie algebra ${\Cal G}_{\infty}$ of $G_{\infty}$ are also classified.
{
"annotation_id": "fe869696-1aa0-464b-8db3-6ba1e04a4077",
"date_created": "2026-03-02T18:01:24.709000Z",
"date_modified": "2026-03-02T18:01:24.709000Z",
"file_hash": "c2f10a03cedacca6b5f8da0199efd5a65cbafe71d639dd61e6106d9b049dcb18",
"private": false,
"record": {
"abstract": "A local classification of all Poisson-Lie structures on an\ninfinite-dimensional group $G_{\\infty}$ of formal power series is given. All\nLie bialgebra structures on the Lie algebra ${\\Cal G}_{\\infty}$ of $G_{\\infty}$\nare also classified.",
"arxiv_id": "q-alg/9506007",
"authors": [
"Boris Kupershmidt",
"Ognyan Stoyanov"
],
"categories": [
"q-alg",
"math.QA"
],
"doi": "10.1007/BF00400133",
"title": "Classification of All Poisson-Lie Structures on an Infinite-Dimensional Jet Group",
"url": "https://arxiv.org/abs/q-alg/9506007"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "4dff8d3c-164f-4639-b906-f71ca78ce220",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}