On the unicity of braidings of quasitriangular Lie bialgebras
Quantum Algebra
2011-12-06 v1
Abstract
Any quantization of a quasitriangular Lie bialgebra g gives rise to a braiding of the dual Poisson-Lie formal group G^*. We show that this braiding always coincides with the Weinstein-Xu braiding. We also define the lifts of the classical r-matrix r as certain functions on G^* x G^*, prove their existence and uniqueness using co-Hochschild cohomology arguments and show that the lift can be expressed in terms of r by universal formulas.
Keywords
Cite
@article{arxiv.math/0207235,
title = {On the unicity of braidings of quasitriangular Lie bialgebras},
author = {B. Enriquez and F. Gavarini and G. Halbout},
journal= {arXiv preprint arXiv:math/0207235},
year = {2011}
}