dorsal/arxiv
View SchemaBraided modules and reflection equations
| Authors | D. Gurevich |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9606019 |
| URL | https://arxiv.org/abs/q-alg/9606019 |
Abstract
We introduce a representation theory of q-Lie algebras defined earlier in \cite{DG1}, \cite{DG2}, formulated in terms of braided modules. We also discuss other ways to define Lie algebra-like objects related to quantum groups, in particular, those based on the so-called reflection equations. We also investigate the truncated tensor product of braided modules.
{
"annotation_id": "bb1ca0fc-0a1f-4c60-9afe-411fb7ae2644",
"date_created": "2026-03-02T18:01:28.459000Z",
"date_modified": "2026-03-02T18:01:28.459000Z",
"file_hash": "dbd544c2480ca3eadeafc9a0c839f1ff1eb97178be72030ad14c084437c539f7",
"private": false,
"record": {
"abstract": "We introduce a representation theory of q-Lie algebras defined earlier in\n\\cite{DG1}, \\cite{DG2}, formulated in terms of braided modules. We also discuss\nother ways to define Lie algebra-like objects related to quantum groups, in\nparticular, those based on the so-called reflection equations. We also\ninvestigate the truncated tensor product of braided modules.",
"arxiv_id": "q-alg/9606019",
"authors": [
"D. Gurevich"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Braided modules and reflection equations",
"url": "https://arxiv.org/abs/q-alg/9606019"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "38d57c00-4b0e-4564-b12b-d285c4b034f1",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}