dorsal/arxiv
View SchemaQuasi-Hopf algebras associated with sl(2) and complex curves
| Authors | B. Enriquez, V. Rubtsov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9608005 |
| URL | https://arxiv.org/abs/q-alg/9608005 |
Abstract
We construct quasi-Hopf algebras quantizing double extensions of the Manin pairs of Drinfeld, associated to a curve with a meromorphic differential, and the Lie algebra sl(2). This construction makes use of an analysis of the vertex relations for the quantum groups obtained in our earlier work, PBW-type results and computation of $R$-matrices for them; its key step is a factorization of the twist operator relating ``conjugated'' versions of these quantum groups.
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"abstract": "We construct quasi-Hopf algebras quantizing double extensions of the Manin\npairs of Drinfeld, associated to a curve with a meromorphic differential, and\nthe Lie algebra sl(2). This construction makes use of an analysis of the vertex\nrelations for the quantum groups obtained in our earlier work, PBW-type results\nand computation of $R$-matrices for them; its key step is a factorization of\nthe twist operator relating ``conjugated\u0027\u0027 versions of these quantum groups.",
"arxiv_id": "q-alg/9608005",
"authors": [
"B. Enriquez",
"V. Rubtsov"
],
"categories": [
"q-alg",
"math.AG",
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"title": "Quasi-Hopf algebras associated with sl(2) and complex curves",
"url": "https://arxiv.org/abs/q-alg/9608005"
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