Strict Quantization of Solvable Symmetric Spaces
Bieliavsky, Pierre
arXiv, 0010004 / Harvested from arXiv
This work is a contribution to the area of Strict Quantization (in the sense of Rieffel) in the presence of curvature and non-Abelian group actions. More precisely, we use geometry to obtain explicit oscillatory integral formulae for strongly invariant strict deformation quantizations of a class of solvable symplectic symmetric spaces. Each of these quantizations gives rise to a field of (pre)-C*-algebras whose fibers are function algebras which are closed under the deformed product. The symmetry group of the symmetric space acts on each fiber by C*-algebra automorphisms.
Publié le : 2000-10-01
Classification:  Mathematics - Quantum Algebra,  Mathematical Physics,  Mathematics - Differential Geometry,  Mathematics - Symplectic Geometry,  53C35 (Primary) 81S10 (Secondary)
@article{0010004,
     author = {Bieliavsky, Pierre},
     title = {Strict Quantization of Solvable Symmetric Spaces},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0010004}
}
Bieliavsky, Pierre. Strict Quantization of Solvable Symmetric Spaces. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0010004/