An explicit formula for the deformation quantization of Lie bialgebras
Quantum Algebra
2007-05-23 v1
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].
Keywords
Cite
@article{arxiv.math/0402046,
title = {An explicit formula for the deformation quantization of Lie bialgebras},
author = {Boris Shoikhet},
journal= {arXiv preprint arXiv:math/0402046},
year = {2007}
}
Comments
41 pages, many figures, LaTeX