2003/07/21 by Philippe Bonneau, Bonneau, Philippe, Daniel Sternheimer +1
Mathematics · Physics and Astronomy · #14E20 (primary) 46E25 #20C20 (secondary) #54C40 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG) #math-ph #math.MP #math.QA #math.SG #msc:14E20 #msc:20C20 #msc:46E25 #msc:54C40
paper · pdf · doi:10.48550/arxiv.math/0307277
13 pages, to appear in the proceedings of the conference "Hopf algebras in noncommutative geometry and physics" (VUB, Brussels, May 2002)
arxiv created 2003/07/21 · openalex publication_date 2003/07/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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