dorsal/arxiv
View SchemaBicrossproduct Structure of Affine Quantum Groups
| Authors | S. Majid |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9512007 |
| URL | https://arxiv.org/abs/q-alg/9512007 |
Abstract
We show that the affine quantum group $U_q(\hat{sl_2})$ is isomorphic to a bicrossproduct central extension $C Z{}_\chi\cross U_q(Lsl_2)$ of the quantum loop group $U_q(Lsl_2)$ by a quantum cocycle $\chi$, which we construct. We prove the same result for $U_q(\hat{g})$ in R-matrix form.
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"date_created": "2026-03-02T18:01:28.094000Z",
"date_modified": "2026-03-02T18:01:28.094000Z",
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"abstract": "We show that the affine quantum group $U_q(\\hat{sl_2})$ is isomorphic to a\nbicrossproduct central extension $C Z{}_\\chi\\cross U_q(Lsl_2)$ of the quantum\nloop group $U_q(Lsl_2)$ by a quantum cocycle $\\chi$, which we construct. We\nprove the same result for $U_q(\\hat{g})$ in R-matrix form.",
"arxiv_id": "q-alg/9512007",
"authors": [
"S. Majid"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Bicrossproduct Structure of Affine Quantum Groups",
"url": "https://arxiv.org/abs/q-alg/9512007"
},
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