dorsal/arxiv
View SchemaQuantization of Lie bialgebras, I
| Authors | Pavel Etingof, David Kazhdan |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9506005 |
| URL | https://arxiv.org/abs/q-alg/9506005 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
In the paper "On some unsolved problems in quantum group theory", V.Drinfeld formulated the problem of the existence of a universal quantization for Lie bialgebras. When the paper "Tensor structures arising from affine Lie algebras, III", by Kazhdan and Lusztig, appeared, Drinfeld asked whether its methods could be useful for the problem of universal quantization of Lie bialgebras. In this paper we use these methods to construct the universal quantization, which gives a positive answer to Drinfeld's question. We also show the existence of universal quantization of classical r-matrices, unitary r-matrices, and quasitriangular Lie bialgebras, which answers the corresponding questions of Drinfeld.
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"abstract": "In the paper \"On some unsolved problems in quantum group theory\", V.Drinfeld\nformulated the problem of the existence of a universal quantization for Lie\nbialgebras. When the paper \"Tensor structures arising from affine Lie algebras,\nIII\", by Kazhdan and Lusztig, appeared, Drinfeld asked whether its methods\ncould be useful for the problem of universal quantization of Lie bialgebras. In\nthis paper we use these methods to construct the universal quantization, which\ngives a positive answer to Drinfeld\u0027s question. We also show the existence of\nuniversal quantization of classical r-matrices, unitary r-matrices, and\nquasitriangular Lie bialgebras, which answers the corresponding questions of\nDrinfeld.",
"arxiv_id": "q-alg/9506005",
"authors": [
"Pavel Etingof",
"David Kazhdan"
],
"categories": [
"q-alg",
"math.QA"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Quantization of Lie bialgebras, I",
"url": "https://arxiv.org/abs/q-alg/9506005"
},
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