Search Results - "Bieliavsky, P"

The Deformation Quantizations of the Hyperbolic Plane by Bieliavsky, P., Detournay, S., Spindel, Ph

“…We describe the space of (all) invariant, both formal and non-formal, deformation quantizations on the hyperbolic plane as solutions of the evolution of a…”
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Regular Poisson structures on massive non-rotating BTZ black holes by Bieliavsky, P., Rooman, M., Spindel, Ph

“…We revisit the non-rotating massive BTZ black hole within a pseudo-Riemannian symmetric space context. Using classical symmetric space techniques we find that…”
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Global geometry of the 2+1 rotating black hole by Bieliavsky, P., Detournay, S., Herquet, M., Rooman, M., Spindel, Ph

“…The generic rotating BTZ black hole, obtained by identifications in AdS3 space through a discrete subgroup of its isometry group, is investigated within a Lie…”
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Quantization of subgroups of the affine group by Bieliavsky, P., Gayral, V., Neshveyev, S., Tuset, L.

“…Consider a locally compact group G=Q⋉V such that V is abelian and the action of Q on the dual abelian group Vˆ has a free orbit of full measure. We show that…”
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Symmetric spaces and star representations: II. Causal symmetric spaces by Bieliavsky, P., Pevzner, M.

“…We construct and identify star representations canonically associated with holonomy-reducible simple symplectic symmetric spaces. This leads a non-commutative…”
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Symmetric spaces and star representations by Bieliavsky, P., Pevzner, M.

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Quantum K\"ahlerian Lie groups from multiplicative unitaries by Bieliavsky, P, Bonneau, Ph, D'Andrea, F, Gayral, V

“…We show that the deformation theory of Fr\'echet algebras for actions of K\"ahlerian Lie groups developed by two of us, leads in a natural way to examples of…”
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The classification of simply-connected contact sub-riemannian symmetric spaces by Bieliavsky, Pierre, Falbel, Elisha, Gorodski, Claudio

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Non Commutative Field Theory on Rank One Symmetric Spaces by Bieliavsky, P, Gurau, R, Rivasseau, V

“…J.Noncommut.Geom.3:99-123,2009 Quantum field theory has been shown recently renormalizable on flat Moyal space and better behaved than on ordinary space-time…”
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Convergent star product algebras on "ax+b" by Bieliavsky, P, Maeda, Y

“…We define non-tempered (exponential growth) function spaces on the Lie group ax+b which are stable under some left-invariant (convergent) star product…”
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Symmetric Spaces and star representations III. The Poincare Disk by Bieliavsky, P, Pevzner, M

“…This article is a contribution to the domain of (convergent) deformation quantization of symmetric spaces by use of Lie groups representation theory. We…”
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On the geometry of the characteristic class of a star product on a symplectic manifold by Bieliavsky, P, Bonneau, P

“…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…”
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Strict Deformation Quantization for Actions of a Class of Symplectic Lie Groups by Bieliavsky, Pierre, Massar, Marc

“…We present explicit universal strict deformation quantization formulae for actions of Iwasawa subgroups AN of SU(1,n). This answers a question raised by…”
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Symmetric Spaces and Star representations II : Causal Symmetric Spaces by Bieliavsky, P, Pevzner, M

“…We construct and identify star representations canonically associated with holonomy reducible simple symplectic symmetric spaces. This leads the a…”
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BTZ black holes, WZW models and noncommutative geometry by Bieliavsky, P, Detournay, S, Rooman, M, Spindel, Ph

“…This note is based on a talk given by one of the authors (S. D.) at the "Rencontres Math\'ematiques de Glanon", held in Glanon in July 2004. We will first…”
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Regular Poisson structures on massive non-rotating BTZ black holes by Bieliavsky, P, Rooman, M, Spindel, Ph

“…Nucl.Phys. B645 (2002) 349-364 We revisit the non-rotating massive BTZ black hole within a pseudo-Riemannian symmetric space context. Using classical symmetric…”
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Global geometry of the 2+1 rotating black hole by Bieliavsky, P, Detournay, S, Herquet, M, Rooman, M, Spindel, Ph

“…Phys.Lett. B570 (2003) 231-236 The generic rotating BTZ black hole, obtained by identifications in AdS3 space through a discrete subgroup of its isometry…”
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