6533b7dcfe1ef96bd1272bd5
RESEARCH PRODUCT
Topological Hopf algebras, quantum groups and deformation quantization
Philippe BonneauDaniel Sternheimersubject
[ MATH.MATH-QA ] Mathematics [math]/Quantum Algebra [math.QA]quantum groups[ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]FOS: Physical sciences[ MATH.MATH-SG ] Mathematics [math]/Symplectic Geometry [math.SG]topological vector spacesMathematical Physics (math-ph)[MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG]deformation quantizationMathematics - Symplectic GeometryHopf algebras54C40 14E20 (primary) 46E25 20C20 (secondary)[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]Mathematics::Quantum AlgebraMathematics - Quantum AlgebraFOS: Mathematics[MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA]Quantum Algebra (math.QA)Symplectic Geometry (math.SG)Mathematical Physicsdescription
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
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-07-21 |