Strict Quantization of Solvable Symmetric Spaces
J. Symplectic Geom., Tome 1 (2002) no. 2, p. 269-320 / Harvested from Project Euclid
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 : 2002-06-14
Classification: 
@article{1092316652,
     author = {Bieliavsky
, Pierre},
     title = {Strict Quantization of Solvable Symmetric Spaces},
     journal = {J. Symplectic Geom.},
     volume = {1},
     number = {2},
     year = {2002},
     pages = { 269-320},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1092316652}
}
Bieliavsky
, Pierre. Strict Quantization of Solvable Symmetric Spaces. J. Symplectic Geom., Tome 1 (2002) no. 2, pp.  269-320. http://gdmltest.u-ga.fr/item/1092316652/