Universal Deformation Formulae, Symplectic Lie groups and Symmetric Spaces

2003/08/20 by Pierre Bieliavsky, Bieliavsky, Pierre, Philippe Bonneau +3
Mathematics · #53C35 (Primary) #81S10 (Secondary) #FOS: Mathematics #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG) #math.QA #math.SG #msc:53C35 #msc:81S10

paper · pdf · doi:10.48550/arxiv.math/0308189

arxiv created 2003/08/20 · arxiv updated 2009/12/01

Abstract

We apply methods from strict quantization of solvable symmetric spaces to obtain universal deformation formulae for actions of a class of solvable Lie groups. We also study compatible co-products by generalizing the notion of smash product in the context of Hopf algebras.

Related

• Universal Deformation Formulae for Three-Dimensional Solvable Lie groups
• Strict Deformation Quantization for Actions of a Class of Symplectic Lie Groups
• Strict Quantization of Solvable Symmetric Spaces
• Variations on deformation quantization
• Deformations of Quantum Symmetric Algebras Extended by Groups