3 citations · 4 across the 3 of their papers we have counts for
6 papers · 1 filter
Noncommutative Locally Anti-de Sitter Black Holes
Pierre Bieliavsky, Stephane Detournay, Marianne Rooman +1
We give a review of our joint work on strict deformation of BHTZ 2+1 black holes \cite{BRS02,BDHRS03}. However some results presented here are not published elsewhere, and an effor…
Universal Deformation Formulae for Three-Dimensional Solvable Lie groups
Pierre Bieliavsky, Philippe Bonneau, Yoshiaki Maeda
We apply methods from strict quantization of solvable symmetric spaces to obtain universal deformation formulae for actions of every three-dimensional solvable Lie group. We also s…
Convergent star product algebras on "ax+b"
P. Bieliavsky, Y. Maeda
We define non-tempered (exponential growth) function spaces on the Lie group ax+b which are stable under some left-invariant (convergent) star product.
On the geometry of the characteristic class of a star product on a symplectic manifold
P. Bieliavsky, P. Bonneau
The characteristic class of a star product on a symplectic manifold appears as the class of a deformation of a given symplectic connection, as described by Fedosov. In contrast, on…
Strict Deformation Quantization for Actions of a Class of Symplectic Lie Groups
Pierre Bieliavsky, Marc Massar
We present explicit universal strict deformation quantization formulae for actions of Iwasawa subgroups AN of SU(1,n). This answers a question raised by Rieffel.
Strict Quantization of Solvable Symmetric Spaces
Pierre Bieliavsky
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…