Network


Latest external collaboration on country level. Dive into details by clicking on the dots.

Hotspot


Dive into the research topics where Pierre Bieliavsky is active.

Publication


Featured researches published by Pierre Bieliavsky.


Memoirs of the American Mathematical Society | 2015

Deformation quantization for actions of Kählerian Lie groups

Pierre Bieliavsky; Victor Gayral

Introduction Notations and conventions Oscillatory integrals Tempered pairs for Kahlerian Lie groups Non-formal star-products Deformation of Frechet algebras Quantization of polarized symplectic symmetric spaces Quantization of Kahlerian Lie groups Deformation of


Letters in Mathematical Physics | 2001

Oscillatory integral formulae for left-invariant star products on a class of Lie groups

Pierre Bieliavsky; Marc Massar

C^*


Journal of Functional Analysis | 2012

Deformation Quantization for Heisenberg Supergroup

Pierre Bieliavsky; Axel Marcillaud de Goursac; Gijs M. Tuynman

-algebras Bibliography


Communications in Mathematical Physics | 2009

The Deformation Quantizations of the Hyperbolic Plane

Pierre Bieliavsky; Stéphane Detournay; Philippe Spindel

We use star representation geometric methods to obtain explicit oscillatory integral formulae for strongly invariant star products on Iwasawa subgroups AN of SU(1,n)


Journal of High Energy Physics | 2004

Star products on extended massive non-rotating BTZ black holes

Pierre Bieliavsky; Stéphane Detournay; Philippe Spindel; Marianne Rooman

We construct a non-formal deformation machinery for the actions of the Heisenberg supergroup analogue to the one developed by M. Rieffel for the actions of R^d. However, the method used here differs from Rieffel’s one: we obtain a Universal Deformation Formula for the actions of R^{m|n} as a byproduct of Weyl ordered Kirillov’s orbit method adapted to the graded setting. To do so, we have to introduce the notion of C∗-superalgebra, which is compatible with the deformation, and which can be seen as corresponding to noncommutative superspaces. We also use this construction to interpret the renormalizability of a noncom- mutative quantum field theory.


Nuclear Physics | 2002

Regular Poisson structures on massive non-rotating BTZ black holes

Pierre Bieliavsky; Marianne Rooman; Philippe Spindel

We describe the space of (all) invariant, both formal and non-formal, deformation quantizations on the hyperbolic plane


Physics Letters B | 2003

Global geometry of the 2+1 rotating black hole

Pierre Bieliavsky; Stéphane Detournay; Michel Herquet; Marianne Rooman; Philippe Spindel


Math.Phys.Stud. | 1995

Symmetric Symplectic Manifolds and Deformation Quantization

Pierre Bieliavsky; Michel Cahen; Simone Gutt

{\mathbb D}


Reviews in Mathematical Physics | 2003

Traces for star products on the dual of a Lie algebra

Pierre Bieliavsky; Simone Gutt; Martin Bordemann; Stefan Waldmann


Geometriae Dedicata | 1998

Semisimple Symplectic Symmetric Spaces

Pierre Bieliavsky

as solutions of the evolution of a second order hyperbolic differential operator. The construction is entirely explicit and relies on non-commutative harmonic analytical techniques on symplectic symmetric spaces. The present work presents a unified method producing every quantization of

Collaboration


Dive into the Pierre Bieliavsky's collaboration.

Top Co-Authors

Avatar

Marianne Rooman

Université libre de Bruxelles

View shared research outputs
Top Co-Authors

Avatar
Top Co-Authors

Avatar
Top Co-Authors

Avatar
Top Co-Authors

Avatar

Axel Marcillaud de Goursac

Université catholique de Louvain

View shared research outputs
Top Co-Authors

Avatar

Victor Gayral

University of Reims Champagne-Ardenne

View shared research outputs
Top Co-Authors

Avatar

Florian Spinnler

Université catholique de Louvain

View shared research outputs
Top Co-Authors

Avatar

Simone Gutt

Université libre de Bruxelles

View shared research outputs
Top Co-Authors

Avatar
Top Co-Authors

Avatar
Researchain Logo
Decentralizing Knowledge