Topological Hopf algebras, quantum groups and deformation quantization

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
Complete list of metadatas
Contributor : Philippe Bonneau <>
Submitted on : Monday, July 21, 2003 - 10:52:57 AM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM
Long-term archiving on : Monday, March 29, 2010 - 4:40:54 PM



Philippe Bonneau, Daniel Sternheimer. Topological Hopf algebras, quantum groups and deformation quantization. 2003. ⟨hal-00000507⟩



Record views


Files downloads