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math.QA2007★ 12 cited
Non-formal deformation quantizations of solvable Ricci-type symplectic symmetric spaces
Pierre Bieliavsky
Ricci-type symplectic manifolds have been introduced and extensively studied by M. Cahen et al.. In this note, we describe their deformation quantizations in the split solvable sym…
math.QA2007★ 5 cited
Deformation quantization for actions of the affine group
Pierre Bieliavsky
We define a universal deformation formula (UDF) for the actions of the affine group on Frechet algebras. More precisely, starting with any associative Frechet algebra which the aff…
math.DG2007★ 5 cited
Symplectic Symmetric Spaces
Pierre Bieliavsky
This is the pdf -version of the author's Ph.D. thesis (1995, ULB, Belgium). The notion of symeplectic symmertic space is introduced and studied via Lie theoretical and symplectic g…