Quantization of Gamma-Lie bialgebras
Quantum Algebra
2010-09-15 v2
Abstract
We introduce the notion of Gamma-Lie bialgebra, where Gamma is a group. These objects give rise to cocommutative co-Poisson algebras, for which we construct quantization functors. This enlarges the class of co-Poisson algebras for which a quantization is known. Our result relies on our earlier work, where we showed that twists of Lie bialgebras can be quantized; we complement this work by studying the behavior of this quantization under compositions of twists.
Keywords
Cite
@article{arxiv.math/0607817,
title = {Quantization of Gamma-Lie bialgebras},
author = {B. Enriquez and G. Halbout},
journal= {arXiv preprint arXiv:math/0607817},
year = {2010}
}
Comments
15 pages