Topological Hopf algebras, quantum groups and deformation quantization
Quantum Algebra
2007-05-23 v1 Mathematical Physics
math.MP
Symplectic Geometry
Abstract
After a presentation of the context and a brief reminder of deformation quantization, we indicate how the introduction of natural topological vector space topologies on Hopf algebras associated with Poisson Lie groups, Lie bialgebras and their doubles explains their dualities and provides a comprehensive framework. Relations with deformation quantization and applications to the deformation quantization of symmetric spaces are described
Cite
@article{arxiv.math/0307277,
title = {Topological Hopf algebras, quantum groups and deformation quantization},
author = {Philippe Bonneau and Daniel Sternheimer},
journal= {arXiv preprint arXiv:math/0307277},
year = {2007}
}
Comments
13 pages, to appear in the proceedings of the conference "Hopf algebras in noncommutative geometry and physics" (VUB, Brussels, May 2002)