Quantization of Lie bialgebras, II

Pavel Etingof; David Kazhdan

doi:10.1007/s000290050030

Quantization of Lie bialgebras, II

Pavel Etingof^*, David Kazhdan

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

74 Scopus citations

Abstract

This paper is a continuation of [EK]. We show that the quantization procedure of [EK] 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 of quantized universal enveloping (QUE) algebras.

Original language	English
Pages (from-to)	213-231
Number of pages	19
Journal	Selecta Mathematica, New Series
Volume	4
Issue number	2
DOIs	https://doi.org/10.1007/s000290050030
State	Published - 1998
Externally published	Yes

Keywords

Hopf algebra
Lie bialgebra
Quantization
Quantum group
Yang-baxter equation

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10.1007/s000290050030

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KW - Yang-baxter equation

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Quantization of Lie bialgebras, II

Abstract

Keywords

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