Quantization of coboundary Lie bialgebras
Quantum Algebra
2010-09-15 v3
Abstract
We show that any coboundary Lie bialgebra can be quantized. For this, we prove that: (a) Etingof-Kazhdan quantization functors are compatible with Lie bialgebra twists, and (b) if such a quantization functor corresponds to an even associator, then it is also compatible with the operation of taking coopposites. We also use the relation between the Etingof-Kazhdan construction of quantization functors and the alternative approach to this problem, which was established in a previous work.
Cite
@article{arxiv.math/0603740,
title = {Quantization of coboundary Lie bialgebras},
author = {B. Enriquez and G. Halbout},
journal= {arXiv preprint arXiv:math/0603740},
year = {2010}
}
Comments
The section on props has been rewritten