An explicit formula for the deformation quantization of Lie bialgebras

2004/02/03 by Boris Shoikhet, Shoikhet, Boris
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/0402046

41 pages, many figures, LaTeX

arxiv created 2004/02/03 · arxiv updated 2009/12/01

Abstract

A model of 3-dimensional topological quantum field theory is rigorously constructed. The results are applied to an explicit formula for deformation quantization of any finite-dimensional Lie bialgebra over the field of complex numbers. This gives an explicit construction of "quantum groups" from any Lie bialgebra, which was proven without explicit formulas in [EK].

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• Quantization of Lie bialgebras, I