dorsal/arxiv
View SchemaQuantization of Lie bialgebras, II
| Authors | Pavel Etingof, David Kazhdan |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9701038 |
| URL | https://arxiv.org/abs/q-alg/9701038 |
Abstract
This paper is a continuation of "Quantization of Lie bialgebras, I" (q-alg/9606005). We show that the quantization procedure defined in "Quantization of Lie bialgebras, I" is given by universal acyclic formulas and defines a functor from the category of Lie bialgebras to the category of quantized universal enveloping algebras. We also show that this functor defines an equivalence between the category of Lie bialgebras over k[[h]] and the category quantized universal enveloping (QUE) algebras.
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"date_modified": "2026-03-02T18:01:27.681000Z",
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"abstract": "This paper is a continuation of \"Quantization of Lie bialgebras, I\"\n(q-alg/9606005). We show that the quantization procedure defined in\n\"Quantization of Lie bialgebras, I\" is given by universal acyclic formulas and\ndefines a functor from the category of Lie bialgebras to the category of\nquantized universal enveloping algebras. We also show that this functor defines\nan equivalence between the category of Lie bialgebras over k[[h]] and the\ncategory quantized universal enveloping (QUE) algebras.",
"arxiv_id": "q-alg/9701038",
"authors": [
"Pavel Etingof",
"David Kazhdan"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Quantization of Lie bialgebras, II",
"url": "https://arxiv.org/abs/q-alg/9701038"
},
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