dorsal/arxiv
View SchemaQuantum Groups,Deformed Oscillators and their Interrelations
| Authors | E. V. Damaskinsky, P. P. Kulish |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9501006 |
| URL | https://arxiv.org/abs/q-alg/9501006 |
Abstract
The main notions of the quantum groups: coproduct, action and coaction, representation and corepresentation are discussed using simplest examples: $GL_q(2)$, $sl_q(2)$, $q$-oscillator algebra ${\cal A}(q)$, and reflection equation algebra. The Gauss decompositions of quantum groups and their realizations in terms of\, ${\cal A}(q)$ are given.
{
"annotation_id": "7ff3728f-946f-40fe-8e08-09acb580875c",
"date_created": "2026-03-02T18:01:24.909000Z",
"date_modified": "2026-03-02T18:01:24.909000Z",
"file_hash": "4aedff3d301bdb4d9c695f02915fd8736e4a095707aa4cd4a496ac31ab5af6ee",
"private": false,
"record": {
"abstract": "The main notions of the quantum groups: coproduct, action and coaction,\nrepresentation and corepresentation are discussed using simplest examples:\n$GL_q(2)$, $sl_q(2)$, $q$-oscillator algebra ${\\cal A}(q)$, and reflection\nequation algebra. The Gauss decompositions of quantum groups and their\nrealizations in terms of\\, ${\\cal A}(q)$ are given.",
"arxiv_id": "q-alg/9501006",
"authors": [
"E. V. Damaskinsky",
"P. P. Kulish"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Quantum Groups,Deformed Oscillators and their Interrelations",
"url": "https://arxiv.org/abs/q-alg/9501006"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b2002271-afa3-45ae-84e5-4464a1f4e22a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}