An explicit formula for the deformation quantization of Lie bialgebras

Details An explicit formula for the deformation quantization of Lie bialgebras An explicit formula for the deformation quantization of Lie bialgebras

2004-02-03

arxiv.org/abs/math/0402046v1

Mathematics

Quantum Algebra

41 pages, many figures, LaTeX

Scientific paper

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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