A cohomological construction of quantization functors of Lie bialgebras
Quantum Algebra
2007-05-23 v1
Abstract
We propose a variant to the Etingof-Kazhdan construction of quantization functors. We construct the twistor J_\Phi associated to an associator \Phi using cohomological techniques. We then introduce a criterion ensuring that the ``left Hopf algebra'' of a quasitriangular QUE algebra is flat. We prove that this criterion is satisfied at the universal level. This provides a construction of quantization functors, equivalent to the Etingof-Kazhdan construction.
Keywords
Cite
@article{arxiv.math/0212325,
title = {A cohomological construction of quantization functors of Lie bialgebras},
author = {B. Enriquez},
journal= {arXiv preprint arXiv:math/0212325},
year = {2007}
}