dorsal/arxiv
View SchemaQuantum groups in higher genus and Drinfeld's new realizations method ($sl_{2}$ case)
| Authors | B. Enriquez, V. Rubtsov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9601022 |
| URL | https://arxiv.org/abs/q-alg/9601022 |
Abstract
We define double (central and cocentral) extensions of Manin pairs introduced by Drinfeld, attached to curves and meromorphic differentials. We define ``infinite twistings'' of these pairs and quantize them in the $sl_{2}$ case, adapting Drinfeld's ``new realizations'' technique. We study finite dimensional representations of these algebras in level $0$, and some elliptic examples.
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"date_created": "2026-03-02T18:01:27.544000Z",
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"abstract": "We define double (central and cocentral) extensions of Manin pairs introduced\nby Drinfeld, attached to curves and meromorphic differentials. We define\n``infinite twistings\u0027\u0027 of these pairs and quantize them in the $sl_{2}$ case,\nadapting Drinfeld\u0027s ``new realizations\u0027\u0027 technique. We study finite dimensional\nrepresentations of these algebras in level $0$, and some elliptic examples.",
"arxiv_id": "q-alg/9601022",
"authors": [
"B. Enriquez",
"V. Rubtsov"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Quantum groups in higher genus and Drinfeld\u0027s new realizations method ($sl_{2}$ case)",
"url": "https://arxiv.org/abs/q-alg/9601022"
},
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