Edit Profile (opens in new tab) Bieliavsky, Pierre Compute Distance To: Compute Author ID: bieliavsky.pierre Published as: Bieliavsky, Pierre; Bieliavsky, P. External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 41 Publications since 1992, including 1 Book 5 Contributions as Editor Co-Authors: 43 Co-Authors with 37 Joint Publications 753 Co-Co-Authors all top 5 Co-Authors 7 single-authored 5 Gayral, Victor 5 Gutt, Simone 5 Schlichenmaier, Martin 4 de Goursac, Axel Marcillaud 4 Kielanowski, Piotr 4 Maeda, Yoshiaki 4 Odzijewicz, Anatol 4 Voronov, Theodore 3 Bonneau, Philippe 3 Cahen, Michel 3 Esposito, Chiara 3 Neshveyev, Sergey V. 3 Spindel, Philippe 3 Spinnler, Florian 3 Tuset, Lars 3 Waldmann, Stefan 2 Ali, Syed Twareque 2 Massar, Marc 2 Nest, Ryszard 2 Rooman, Marianne 1 Anzola Kibamba, Nestor 1 Aschieri, Paolo 1 Bertelson, Mélanie 1 Bordemann, Martin 1 Claessens, Laurent 1 Falbel, Elisha 1 Gorodski, Claudio 1 Gurau, Razvan Gheorghe 1 Herquet, Michel 1 Jego, Charles 1 Odesskii, Alexander 1 Pagani, Chiara 1 Rawnsley, John H. 1 Rivasseau, Vincent 1 Schenkel, Alexander 1 Schwachhöfer, Lorenz J. 1 Sternheimer, Daniel 1 Tang, Xiang 1 Troost, Jan 1 Tuynman, Gijs M. 1 Voglaire, Yannick 1 Weber, Thomas 1 Yao, Yijun all top 5 Serials 4 Letters in Mathematical Physics 3 Trends in Mathematics 2 Communications in Mathematical Physics 2 Nuclear Physics. B 2 Reviews in Mathematical Physics 2 Advances in Mathematics 2 Geometriae Dedicata 2 Journal of Functional Analysis 2 Pacific Journal of Mathematics 2 International Journal of Mathematics 2 The Journal of Symplectic Geometry 1 Physics Letters. B 1 Journal of Geometry and Physics 1 Memoirs of the American Mathematical Society 1 Bulletin de la Classe des Sciences. 6e Série 1 International Journal of Geometric Methods in Modern Physics 1 Oberwolfach Reports 1 Journal of Noncommutative Geometry all top 5 Fields 38 Differential geometry (53-XX) 15 Quantum theory (81-XX) 12 Topological groups, Lie groups (22-XX) 8 Functional analysis (46-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 4 Nonassociative rings and algebras (17-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Abstract harmonic analysis (43-XX) 2 Relativity and gravitational theory (83-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 221 times in 148 Documents Cited by ▼ Year ▼ Deformation quantization for actions of Kählerian Lie groups. Zbl 1323.22005Bieliavsky, Pierre; Gayral, Victor 22 2015 Symplectic connections. Zbl 1095.53052Bieliavsky, Pierre; Cahen, Michel; Gutt, Simone; Rawnsley, John; Schwachhöfer, Lorenz 21 2006 Strict quantization of solvable symmetric spaces. Zbl 1032.53080Bieliavsky, Pierre 16 2002 Parametrizing equivalence classes of invariant star products. Zbl 0943.53051Bertelson, Mélanie; Bieliavsky, Pierre; Gutt, Simone 15 1998 Universal deformation formulae, symplectic Lie groups and symmetric spaces. Zbl 1152.22009Bieliavsky, Pierre; Bonneau, Philippe; Maeda, Yoshiaki 14 2007 The classification of simply-connected contact sub-Riemannian symmetric spaces. Zbl 0992.53024Bieliavsky, Pierre; Falbel, Elisha; Gorodski, Claudio 13 1999 Rankin-Cohen brackets and formal quantization. Zbl 1123.53049Bieliavsky, Pierre; Tang, Xiang; Yao, Yijun 12 2007 Universal deformation formulae for three-dimensional solvable Lie groups. Zbl 1072.53033Bieliavsky, P.; Bonneau, P.; Maeda, Y. 11 2005 Semisimple symplectic symmetric spaces. Zbl 0972.53024Bieliavsky, P. 9 1998 The deformation quantizations of the hyperbolic plane. Zbl 1170.53074Bieliavsky, P.; Detournay, S.; Spindel, Ph. 9 2009 Symmetric symplectic manifolds and deformation quantization. Zbl 0909.53019Bieliavsky, P.; Cahen, M.; Gutt, S. 8 1995 Oscillatory integral formulae for left-invariant star products on a class of Lie groups. Zbl 0998.53059Bieliavsky, Pierre; Massar, Marc 8 2001 Noncommutative principal bundles through twist deformation. Zbl 1433.58007Aschieri, Paolo; Bieliavsky, Pierre; Pagani, Chiara; Schenkel, Alexander 7 2017 Regular Poisson structures on massive non-rotating BTZ black holes. Zbl 0999.83033Bieliavsky, P.; Rooman, M.; Spindel, P. 5 2002 Obstructions for twist star products. Zbl 1392.53082Bieliavsky, Pierre; Esposito, Chiara; Waldmann, Stefan; Weber, Thomas 5 2018 Traces for star products on the dual of a Lie algebra. Zbl 1129.53305Bieliavsky, Pierre; Gutt, Simone; Bordemann, Martin; Waldmann, Stefan 4 2003 A class of homogeneous symplectic manifolds. Zbl 0879.53026Bieliavsky, P.; Cahen, M.; Gutt, S. 4 1997 Global geometry of the \(2+1\) rotating black hole. Zbl 1031.83010Bieliavsky, P.; Detournay, S.; Herquet, M.; Rooman, M.; Spindel, P. 4 2003 Quantized anti de Sitter spaces and non-formal deformation quantizations of symplectic symmetric spaces. Zbl 1150.53029Bieliavsky, Pierre; Claessens, Laurent; Sternheimer, Daniel; Voglaire, Yannick 4 2008 Deformation quantization for Heisenberg supergroup. Zbl 1247.53091Bieliavsky, Pierre; de Goursac, Axel; Tuynman, Gijs 4 2012 Noncommutative field theory on rank one symmetric spaces. Zbl 1158.81021Bieliavsky, Pierre; Gurau, Razvan; Rivasseau, Vincent 4 2009 Symmetric spaces and star representations. II: Causal symmetric spaces. Zbl 1002.22008Bieliavsky, P.; Pevzner, M. 3 2002 Convergent star product algebras on ‘\(ax+b\)’. Zbl 1036.53067Bieliavsky, Pierre; Maeda, Yoshiaki 3 2002 Symmetric spaces and star representations. Zbl 0956.53056Bieliavsky, Pierre 2 1999 On deformations of \(C^\ast\)-algebras by actions of Kählerian Lie groups. Zbl 1354.46065Bieliavsky, Pierre; Gayral, Victor; Neshveyev, Sergey; Tuset, Lars 2 2016 Strict deformation quantization for actions of a class of symplectic Lie groups. Zbl 1018.53044Bieliavsky, Pierre; Massar, Marc 2 2001 Four-dimensional simply connected symplectic symmetric spaces. Zbl 0898.53041Bieliavsky, P. 2 1998 Extensions of dimension one of the Heisenberg algebra and symmetric pseudo-Riemannian spaces. (Extensions de dimension un de l’algèbre de Heisenberg et espaces pseudoriemanniens symétriques.) Zbl 0810.53042Bieliavsky, Pierre 1 1992 On the geometry of the characteristic class of a star product on a symplectic manifold. Zbl 1084.53077Bieliavsky, Pierre; Bonneau, Philippe 1 2003 Geometric methods in physics. XXXIII workshop, Białowieża, Poland, June 29 – July 5, 2014. Zbl 1329.00214 1 2015 Geometric methods in physics. XXXII workshop, Białowieża, Poland, June 30 – July 6, 2013. Selected papers. Zbl 1296.00056 1 2014 Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry. Zbl 1387.22014Bieliavsky, Pierre; Gayral, Victor; De Goursac, Axel; Spinnler, Florian 1 2014 Symmetric spaces and star representations. III. The Poincaré disc. Zbl 1078.53096Bieliavsky, P.; Pevzner, M. 1 2004 Addendum to: “On deformations of \(C^\ast\)-algebras by actions of Kählerian Lie groups”. Zbl 1441.46051Bieliavsky, Pierre; Gayral, Victor; Neshveyev, Sergey; Tuset, Lars 1 2019 Open strings in Lie groups and associative products. Zbl 1188.81140Bieliavsky, Pierre; Jego, Charles; Troost, Jan 1 2007 Addendum to: “On deformations of \(C^\ast\)-algebras by actions of Kählerian Lie groups”. Zbl 1441.46051Bieliavsky, Pierre; Gayral, Victor; Neshveyev, Sergey; Tuset, Lars 1 2019 Obstructions for twist star products. Zbl 1392.53082Bieliavsky, Pierre; Esposito, Chiara; Waldmann, Stefan; Weber, Thomas 5 2018 Noncommutative principal bundles through twist deformation. Zbl 1433.58007Aschieri, Paolo; Bieliavsky, Pierre; Pagani, Chiara; Schenkel, Alexander 7 2017 On deformations of \(C^\ast\)-algebras by actions of Kählerian Lie groups. Zbl 1354.46065Bieliavsky, Pierre; Gayral, Victor; Neshveyev, Sergey; Tuset, Lars 2 2016 Deformation quantization for actions of Kählerian Lie groups. Zbl 1323.22005Bieliavsky, Pierre; Gayral, Victor 22 2015 Geometric methods in physics. XXXIII workshop, Białowieża, Poland, June 29 – July 5, 2014. Zbl 1329.00214 1 2015 Geometric methods in physics. XXXII workshop, Białowieża, Poland, June 30 – July 6, 2013. Selected papers. Zbl 1296.00056 1 2014 Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry. Zbl 1387.22014Bieliavsky, Pierre; Gayral, Victor; De Goursac, Axel; Spinnler, Florian 1 2014 Deformation quantization for Heisenberg supergroup. Zbl 1247.53091Bieliavsky, Pierre; de Goursac, Axel; Tuynman, Gijs 4 2012 The deformation quantizations of the hyperbolic plane. Zbl 1170.53074Bieliavsky, P.; Detournay, S.; Spindel, Ph. 9 2009 Noncommutative field theory on rank one symmetric spaces. Zbl 1158.81021Bieliavsky, Pierre; Gurau, Razvan; Rivasseau, Vincent 4 2009 Quantized anti de Sitter spaces and non-formal deformation quantizations of symplectic symmetric spaces. Zbl 1150.53029Bieliavsky, Pierre; Claessens, Laurent; Sternheimer, Daniel; Voglaire, Yannick 4 2008 Universal deformation formulae, symplectic Lie groups and symmetric spaces. Zbl 1152.22009Bieliavsky, Pierre; Bonneau, Philippe; Maeda, Yoshiaki 14 2007 Rankin-Cohen brackets and formal quantization. Zbl 1123.53049Bieliavsky, Pierre; Tang, Xiang; Yao, Yijun 12 2007 Open strings in Lie groups and associative products. Zbl 1188.81140Bieliavsky, Pierre; Jego, Charles; Troost, Jan 1 2007 Symplectic connections. Zbl 1095.53052Bieliavsky, Pierre; Cahen, Michel; Gutt, Simone; Rawnsley, John; Schwachhöfer, Lorenz 21 2006 Universal deformation formulae for three-dimensional solvable Lie groups. Zbl 1072.53033Bieliavsky, P.; Bonneau, P.; Maeda, Y. 11 2005 Symmetric spaces and star representations. III. The Poincaré disc. Zbl 1078.53096Bieliavsky, P.; Pevzner, M. 1 2004 Traces for star products on the dual of a Lie algebra. Zbl 1129.53305Bieliavsky, Pierre; Gutt, Simone; Bordemann, Martin; Waldmann, Stefan 4 2003 Global geometry of the \(2+1\) rotating black hole. Zbl 1031.83010Bieliavsky, P.; Detournay, S.; Herquet, M.; Rooman, M.; Spindel, P. 4 2003 On the geometry of the characteristic class of a star product on a symplectic manifold. Zbl 1084.53077Bieliavsky, Pierre; Bonneau, Philippe 1 2003 Strict quantization of solvable symmetric spaces. Zbl 1032.53080Bieliavsky, Pierre 16 2002 Regular Poisson structures on massive non-rotating BTZ black holes. Zbl 0999.83033Bieliavsky, P.; Rooman, M.; Spindel, P. 5 2002 Symmetric spaces and star representations. II: Causal symmetric spaces. Zbl 1002.22008Bieliavsky, P.; Pevzner, M. 3 2002 Convergent star product algebras on ‘\(ax+b\)’. Zbl 1036.53067Bieliavsky, Pierre; Maeda, Yoshiaki 3 2002 Oscillatory integral formulae for left-invariant star products on a class of Lie groups. Zbl 0998.53059Bieliavsky, Pierre; Massar, Marc 8 2001 Strict deformation quantization for actions of a class of symplectic Lie groups. Zbl 1018.53044Bieliavsky, Pierre; Massar, Marc 2 2001 The classification of simply-connected contact sub-Riemannian symmetric spaces. Zbl 0992.53024Bieliavsky, Pierre; Falbel, Elisha; Gorodski, Claudio 13 1999 Symmetric spaces and star representations. Zbl 0956.53056Bieliavsky, Pierre 2 1999 Parametrizing equivalence classes of invariant star products. Zbl 0943.53051Bertelson, Mélanie; Bieliavsky, Pierre; Gutt, Simone 15 1998 Semisimple symplectic symmetric spaces. Zbl 0972.53024Bieliavsky, P. 9 1998 Four-dimensional simply connected symplectic symmetric spaces. Zbl 0898.53041Bieliavsky, P. 2 1998 A class of homogeneous symplectic manifolds. Zbl 0879.53026Bieliavsky, P.; Cahen, M.; Gutt, S. 4 1997 Symmetric symplectic manifolds and deformation quantization. Zbl 0909.53019Bieliavsky, P.; Cahen, M.; Gutt, S. 8 1995 Extensions of dimension one of the Heisenberg algebra and symmetric pseudo-Riemannian spaces. (Extensions de dimension un de l’algèbre de Heisenberg et espaces pseudoriemanniens symétriques.) Zbl 0810.53042Bieliavsky, Pierre 1 1992 all cited Publications top 5 cited Publications all top 5 Cited by 192 Authors 13 Waldmann, Stefan 11 Bieliavsky, Pierre 7 Gutt, Simone 7 Panaite, Florin 6 Cahen, Michel 6 Gayral, Victor 4 Aschieri, Paolo 4 Neshveyev, Sergey V. 4 Pevzner, Michael 4 Rosales, César 4 Sako, Akifumi 4 Schmitt, Philipp 4 Szabo, Richard J. 4 Tuset, Lars 4 van Oystaeyen, Freddy 4 Weber, Thomas 3 Banerjee, Abhishek 3 de Goursac, Axel Marcillaud 3 Dobrski, Michał 3 Esposito, Chiara 3 Hurtado, Ana 3 Neumaier, Nikolai 3 Schenkel, Alexander 3 Schötz, Matthias 3 Umetsu, Hiroshi 2 Alekseevskiĭ, Dmitriĭ Vladimirovich 2 Berestovskiĭ, Valeriĭ Nikolaevich 2 Chuah, Meng-Kiat 2 D’Andrea, Francesco 2 Dherin, Benoit 2 Fiore, Gaetano 2 Fox, Daniel J. F. 2 Gerstenhaber, Murray 2 Gorbatsevich, Vladimir Vital’evich 2 Gorodski, Claudio 2 Habermann, Katharina 2 Habermann, Lutz 2 Latini, Emanuele 2 Maeda, Yoshiaki 2 Müller-Bahns, Michael F. 2 Pagani, Chiara 2 Rawnsley, John H. 2 Roth, Oliver 2 Schnitzer, Jonas 2 Schwachhöfer, Lorenz J. 2 Sharapov, Alexey A. 2 Skvortsov, Evgeny D. 2 Suzuki, Toshiya 2 Yao, Yijun 1 Agaoka, Yoshio 1 Aissa, T. Ait 1 Albuquerque, Helena 1 Albuquerque, Rui P. 1 Alekseev, Anton Yur’evich 1 Almeida, Dulce M. 1 Bahns, Dorothea 1 Bai, Wei 1 Banerjee, Tathagata 1 Barmeier, Severin 1 Barnes, Gwendolyn E. 1 Baum, Helga 1 Beiser, Svea 1 Benayadi, Saïd 1 Besnard, Fabien 1 Bhowmick, Jyotishman 1 Bhuyain, Tanvir Ahamed 1 Biezuner, Rodney Josué 1 Bizi, Nadir 1 Blaschke, Daniel N. 1 Bocheński, Maciej Franciszek 1 Boeckx, Eric 1 Bonneau, Philippe 1 Borowiec, Andrzej Zdzisław 1 Boucetta, Mohamed 1 Bourgeois, Frédéric 1 Brasch, Steffen 1 Brouder, Christian 1 Brzeziński, Tomasz 1 Cai, Faqun 1 Calaque, Damien 1 Calvaruso, Giovanni 1 Cattaneo, Alberto Sergio 1 Chen, Quanguo 1 Cho, Jong Taek 1 Choie, YoungJu 1 Chryssomalakos, Chryssomalis 1 Ciungu, Mădălin 1 Claessens, Laurent 1 De Kleijn, Niek 1 de M. Rios, Pedro 1 De Riese, Mathias 1 Detournay, Stéphane 1 Dumas, François 1 Engquist, Johan 1 Fang, Xiaoli 1 Feintzeig, Benjamin H. 1 Ferguson, James T. 1 Fialowski, Alice 1 Fino, Anna 1 Fioresi, Rita ...and 92 more Authors all top 5 Cited in 56 Serials 15 Journal of Geometry and Physics 11 Journal of Mathematical Physics 11 Letters in Mathematical Physics 8 Journal of Noncommutative Geometry 7 Communications in Mathematical Physics 6 Differential Geometry and its Applications 6 International Journal of Geometric Methods in Modern Physics 5 Reviews in Mathematical Physics 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Advances in Mathematics 4 Journal of Algebra 4 Journal of Functional Analysis 4 Calculus of Variations and Partial Differential Equations 3 Israel Journal of Mathematics 3 Pacific Journal of Mathematics 3 Algebras and Representation Theory 2 General Relativity and Gravitation 2 Nuclear Physics. B 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 International Journal of Mathematics 2 Applied Mathematics. Series B (English Edition) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Physics A: Mathematical and Theoretical 1 International Journal of Modern Physics A 1 Communications in Algebra 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Archivum Mathematicum 1 Geometriae Dedicata 1 Journal of Number Theory 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Tôhoku Mathematical Journal. Second Series 1 Chinese Annals of Mathematics. Series B 1 Annals of Global Analysis and Geometry 1 Forum Mathematicum 1 Indagationes Mathematicae. New Series 1 Applied Categorical Structures 1 Algebra Colloquium 1 Journal of Mathematical Sciences (New York) 1 Advances in Applied Clifford Algebras 1 Selecta Mathematica. New Series 1 Abstract and Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Japanese Journal of Mathematics. 3rd Series 1 São Paulo Journal of Mathematical Sciences 1 Analysis and Mathematical Physics 1 Journal of Fractal Geometry all top 5 Cited in 29 Fields 106 Differential geometry (53-XX) 44 Quantum theory (81-XX) 29 Associative rings and algebras (16-XX) 21 Nonassociative rings and algebras (17-XX) 20 Global analysis, analysis on manifolds (58-XX) 18 Functional analysis (46-XX) 17 Topological groups, Lie groups (22-XX) 12 Relativity and gravitational theory (83-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Algebraic geometry (14-XX) 7 Group theory and generalizations (20-XX) 6 Number theory (11-XX) 5 Category theory; homological algebra (18-XX) 4 Abstract harmonic analysis (43-XX) 4 Mechanics of particles and systems (70-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Manifolds and cell complexes (57-XX) 2 Functions of a complex variable (30-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.