6533b860fe1ef96bd12c3805
RESEARCH PRODUCT
Topological Hopf Algebras, Quantum Groups and Deformation Quantization
Daniel SternheimerPhilippe Bonneausubject
Geometric quantizationTopological algebra010308 nuclear & particles physicsCanonical quantizationQuantum group010102 general mathematicsTopologyHopf algebra01 natural sciencesRepresentation theoryLie conformal algebraAdjoint representation of a Lie algebra0103 physical sciences0101 mathematicsMathematicsdescription
After a presentation of the context and a brief reminder of deformation quantization, we indicate how the introduction of natural topological vector space topologi es on Hopf algebras associated with Poisson Lie groups, Lie bialgebras and their doubles explains their dualities a nd provides a comprehensive framework. Relations with deformation quantization and applications to the deformation quantization of symmetric spaces are described.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-05-07 |