Edit Profile (opens in new tab) Rideau, Guy Co-Author Distance Author ID: rideau.guy Published as: Rideau, G.; Rideau, Guy Documents Indexed: 72 Publications since 1950, including 2 Books 1 Contribution as Editor Biographic References: 2 Publications Co-Authors: 24 Co-Authors with 38 Joint Publications 727 Co-Co-Authors all top 5 Co-Authors 34 single-authored 11 Bertrand, Jacqueline 7 Irac-Astaud, Michèle 5 Gaveau, Bernard 4 Kahan, Théo 3 Hebda, Piotr W. 3 Hussin, Véronique 3 Winternitz, Pavel 2 Cordesse, Antoine 2 Grundland, Alfred Michel 2 Lauzon, Anne-Marie 1 Albeverio, Sergio A. 1 Cavaillès, Paul 1 Combe, Philippe 1 Emch, Gerard G. 1 Frappat, Luc 1 Gouarné, René 1 Høegh-Krohn, Raphael J. 1 Lochak, Georges 1 Martina, Luigi 1 Newton, T. D. 1 Roussopoulos, Paul N. 1 Sirugue-Collin, Madelaine 1 Sirugue, Michel 1 Stora, Raymond all top 5 Serials 18 Letters in Mathematical Physics 15 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 6 Journal of Mathematical Physics 4 Reports on Mathematical Physics 2 Communications in Mathematical Physics 2 Reviews in Mathematical Physics 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 2 Journal of Physics A: Mathematical and General 2 Il Nuovo Cimento, X. Series, A 1 Theoretical and Mathematical Physics 1 Bulletin des Sciences Mathématiques 1 Physica Scripta 1 Czechoslovak Journal of Physics 1 Il Nuovo Cimento, X. Series 1 Annales de l’Institut Henri Poincaré 1 Le Journal de Physique et Le Radium 1 Lecture Notes in Physics all top 5 Fields 32 Quantum theory (81-XX) 14 Topological groups, Lie groups (22-XX) 9 Partial differential equations (35-XX) 7 Nonassociative rings and algebras (17-XX) 7 Probability theory and stochastic processes (60-XX) 5 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 130 times in 109 Documents Cited by ▼ Year ▼ Noncompletely reducible representations of the Poincaré group associated with the generalized Lorentz gauge. Zbl 0427.22020Rideau, G. 12 1978 On some representations of the anticommutations relations. Zbl 0194.29001Rideau, G. 11 1968 Evolution equations invariant under two-dimensional space-time Schrödinger group. Zbl 0774.35066Rideau, G.; Winternitz, P. 11 1993 Nontrivial extensions of a massless representation with definite helicity of the Poincaré group in \(3+1\) dimensions by the tensor product of two other massless representations with definite helicity. Zbl 0649.22014Rideau, G. 7 1988 On the cylindrical approximation of the Feynman path integral. Zbl 0421.28014Combe, Philippe; Rodriguez, R.; Rideau, G.; Sirugue-Collin, Madelaine 7 1978 On the reduction of the regular representation of The Poincaré group. Zbl 0158.14203Rideau, G. 7 1966 On the representations of quantum oscillator algebra. Zbl 0766.17018Rideau, Guy 7 1992 Partial differential equations with differential constraints. Zbl 0893.35118Grundland, Alfred M.; Martina, Luigi; Rideau, Guy 7 1997 Representations of the quantum algebra \(su_ q(2)\) on a real two- dimensional sphere. Zbl 0792.17013Rideau, G.; Winternitz, P. 6 1993 On the extensions of mass-zero representations of the Poincaré group. Zbl 0427.22007Rideau, G. 5 1979 Nonlinear equations invariant under the Poincaré, similitude, and conformal groups in two-dimensional space-time. Zbl 0709.58032Rideau, G.; Winternitz, P. 4 1990 Classification of the quantum deformations of the superalgebra \(gl(1| 1)\). Zbl 0910.17005Frappat, L.; Hussin, V.; Rideau, G. 4 1998 An analytic nonlinear representation of the Poincaré group. II: The case of helicities \(\pm\). Zbl 0584.22009Bertrand, J.; Rideau, G. 3 1985 Nontrivial extensions of a representation of the Poincaré group with mass and helicity zero by its tensorial product. Zbl 0601.22014Rideau, G. 3 1984 Feynman path integrals. Proceedings of the international colloquium held in Marseille, May 1978. Zbl 0404.00004 3 1979 On some representations of the anticommutation relations. III. Zbl 0149.23601Cordesse, A.; Rideau, G. 3 1967 Conditional symmetries for \(1^{\text{st}}\) order systems of PDEs in the context of the Clairin method. Zbl 0910.35034Grundland, Alfred M.; Rideau, Guy 2 1995 An analytic nonlinear representation of the Poincaré group. Zbl 0584.22008Rideau, G. 2 1985 Stochastic processes and the evolution of quantum observables. Zbl 0527.60070Bertrand, J.; Rideau, G. 2 1983 Bargmann representations for deformed harmonic oscillators. Zbl 0960.81043Irac-Astaud, Michèle; Rideau, Guy 2 1998 Sur la diagonalisation du modèle de Wentzel. Zbl 0083.43801Chevalier, A.; Rideau, G. 2 1958 Sur une définition intrinseque de la distribution \(\Delta\). Zbl 0125.21301Rideau, G. 2 1965 The cohomology of the classical and quantum Weyl CCR in curved spaces. Zbl 0831.58025Bertrand, J.; Emch, G. G.; Rideau, G. 1 1995 Quantum fields and Poisson processes: Interaction of a cut-off boson field with a quantum particle. Zbl 0574.60099Bertrand, Jacqueline; Gaveau, Bernard; Rideau, Guy 1 1985 Nonlinear representations of Poincaré group in three dimensions. Zbl 0632.22017Bertrand, J.; Rideau, G. 1 1987 Cohomology of extension for the Poincaré group representations: Application to quantum mechanics with indefinite metric and to nonlinear representation theory. Zbl 0706.22020Rideau, G. 1 1989 Deformed harmonic oscillator algebras defined by their Bargmann representations. Zbl 0962.81030Irac-Astaud, Michèle; Rideau, Guy 1 1999 Quantization of the Maxwell field and extensions of zero mass representations of Poincaré group. Zbl 0414.58018Rideau, G. 1 1978 Quantization of the Maxwell field in linear conformal invariant gauges. Zbl 0418.35070Rideau, G. 1 1979 Non-unitary representations and Fourier transform on the Poincaré group. Zbl 0258.22018Bertrand, J.; Rideau, G. 1 1973 Gauges of first and second kind and Poincaré invariance. Zbl 0293.22021Rideau, G. 1 1973 From Bargmann representations to deformed harmonic oscillator algebras. Zbl 0933.46074Irac-Astaud, Michèle; Rideau, Guy 1 1999 Sur la reduction du produit tensoriel des représentations de la série discrete de SL(2, R). Zbl 0178.35203Rideau, G. 1 1966 On quantum multi-Hamiltonian systems. Zbl 0792.70012Irac-Astaud, Michèle; Rideau, Guy 1 1993 \(R\)-matrix method for Heisenberg quantum groups. Zbl 0795.17013Hussin, V.; Lauzon, A.; Rideau, G. 1 1994 Deformed harmonic oscillators: coherent states and Bargmann representations. Zbl 0942.81012Irac-Astaud, Michèle; Rideau, Guy 1 1997 Oscillator quantum groups from \(R\)-matrix method. Zbl 0899.17008Hussin, V.; Lauzon, A.; Rideau, G. 1 1996 Sur la déduction de divers principes variationnels de la théorie des collisions à partir d’un principe unique. Zbl 0048.08203Kahan, T.; Rideau, G. 1 1952 Les méthodes d’approximation variationnelles dans la théorie des collisions atomiques et dans la physique des piles nucléaires. Zbl 0071.43903Kahan, T.; Rideau, G.; Roussopoulos, P. 1 1956 On representations of anticommutation relations. I, II. Zbl 0144.23403Cordesse, A.; Rideau, G. 1 1966 Deformed harmonic oscillator algebras defined by their Bargmann representations. Zbl 0962.81030Irac-Astaud, Michèle; Rideau, Guy 1 1999 From Bargmann representations to deformed harmonic oscillator algebras. Zbl 0933.46074Irac-Astaud, Michèle; Rideau, Guy 1 1999 Classification of the quantum deformations of the superalgebra \(gl(1| 1)\). Zbl 0910.17005Frappat, L.; Hussin, V.; Rideau, G. 4 1998 Bargmann representations for deformed harmonic oscillators. Zbl 0960.81043Irac-Astaud, Michèle; Rideau, Guy 2 1998 Partial differential equations with differential constraints. Zbl 0893.35118Grundland, Alfred M.; Martina, Luigi; Rideau, Guy 7 1997 Deformed harmonic oscillators: coherent states and Bargmann representations. Zbl 0942.81012Irac-Astaud, Michèle; Rideau, Guy 1 1997 Oscillator quantum groups from \(R\)-matrix method. Zbl 0899.17008Hussin, V.; Lauzon, A.; Rideau, G. 1 1996 Conditional symmetries for \(1^{\text{st}}\) order systems of PDEs in the context of the Clairin method. Zbl 0910.35034Grundland, Alfred M.; Rideau, Guy 2 1995 The cohomology of the classical and quantum Weyl CCR in curved spaces. Zbl 0831.58025Bertrand, J.; Emch, G. G.; Rideau, G. 1 1995 \(R\)-matrix method for Heisenberg quantum groups. Zbl 0795.17013Hussin, V.; Lauzon, A.; Rideau, G. 1 1994 Evolution equations invariant under two-dimensional space-time Schrödinger group. Zbl 0774.35066Rideau, G.; Winternitz, P. 11 1993 Representations of the quantum algebra \(su_ q(2)\) on a real two- dimensional sphere. Zbl 0792.17013Rideau, G.; Winternitz, P. 6 1993 On quantum multi-Hamiltonian systems. Zbl 0792.70012Irac-Astaud, Michèle; Rideau, Guy 1 1993 On the representations of quantum oscillator algebra. Zbl 0766.17018Rideau, Guy 7 1992 Nonlinear equations invariant under the Poincaré, similitude, and conformal groups in two-dimensional space-time. Zbl 0709.58032Rideau, G.; Winternitz, P. 4 1990 Cohomology of extension for the Poincaré group representations: Application to quantum mechanics with indefinite metric and to nonlinear representation theory. Zbl 0706.22020Rideau, G. 1 1989 Nontrivial extensions of a massless representation with definite helicity of the Poincaré group in \(3+1\) dimensions by the tensor product of two other massless representations with definite helicity. Zbl 0649.22014Rideau, G. 7 1988 Nonlinear representations of Poincaré group in three dimensions. Zbl 0632.22017Bertrand, J.; Rideau, G. 1 1987 An analytic nonlinear representation of the Poincaré group. II: The case of helicities \(\pm\). Zbl 0584.22009Bertrand, J.; Rideau, G. 3 1985 An analytic nonlinear representation of the Poincaré group. Zbl 0584.22008Rideau, G. 2 1985 Quantum fields and Poisson processes: Interaction of a cut-off boson field with a quantum particle. Zbl 0574.60099Bertrand, Jacqueline; Gaveau, Bernard; Rideau, Guy 1 1985 Nontrivial extensions of a representation of the Poincaré group with mass and helicity zero by its tensorial product. Zbl 0601.22014Rideau, G. 3 1984 Stochastic processes and the evolution of quantum observables. Zbl 0527.60070Bertrand, J.; Rideau, G. 2 1983 On the extensions of mass-zero representations of the Poincaré group. Zbl 0427.22007Rideau, G. 5 1979 Feynman path integrals. Proceedings of the international colloquium held in Marseille, May 1978. Zbl 0404.00004 3 1979 Quantization of the Maxwell field in linear conformal invariant gauges. Zbl 0418.35070Rideau, G. 1 1979 Noncompletely reducible representations of the Poincaré group associated with the generalized Lorentz gauge. Zbl 0427.22020Rideau, G. 12 1978 On the cylindrical approximation of the Feynman path integral. Zbl 0421.28014Combe, Philippe; Rodriguez, R.; Rideau, G.; Sirugue-Collin, Madelaine 7 1978 Quantization of the Maxwell field and extensions of zero mass representations of Poincaré group. Zbl 0414.58018Rideau, G. 1 1978 Non-unitary representations and Fourier transform on the Poincaré group. Zbl 0258.22018Bertrand, J.; Rideau, G. 1 1973 Gauges of first and second kind and Poincaré invariance. Zbl 0293.22021Rideau, G. 1 1973 On some representations of the anticommutations relations. Zbl 0194.29001Rideau, G. 11 1968 On some representations of the anticommutation relations. III. Zbl 0149.23601Cordesse, A.; Rideau, G. 3 1967 On the reduction of the regular representation of The Poincaré group. Zbl 0158.14203Rideau, G. 7 1966 Sur la reduction du produit tensoriel des représentations de la série discrete de SL(2, R). Zbl 0178.35203Rideau, G. 1 1966 On representations of anticommutation relations. I, II. Zbl 0144.23403Cordesse, A.; Rideau, G. 1 1966 Sur une définition intrinseque de la distribution \(\Delta\). Zbl 0125.21301Rideau, G. 2 1965 Sur la diagonalisation du modèle de Wentzel. Zbl 0083.43801Chevalier, A.; Rideau, G. 2 1958 Les méthodes d’approximation variationnelles dans la théorie des collisions atomiques et dans la physique des piles nucléaires. Zbl 0071.43903Kahan, T.; Rideau, G.; Roussopoulos, P. 1 1956 Sur la déduction de divers principes variationnels de la théorie des collisions à partir d’un principe unique. Zbl 0048.08203Kahan, T.; Rideau, G. 1 1952 all cited Publications top 5 cited Publications all top 5 Cited by 129 Authors 20 Rideau, Guy 5 Bertrand, Jacqueline 5 Irac-Astaud, Michèle 4 Dobrev, Vladimir K. 4 Winternitz, Pavel 3 Chakrabarti, Amithaba 3 de Lucas, Javier 3 Exner, Pavel 3 Grundland, Alfred Michel 3 Mihov, Stephen G. 2 Albeverio, Sergio A. 2 Araki, Huzihiro 2 Arnaudon, Daniel 2 Bracken, Paul Francis 2 Cariñena, José F. 2 Cassinelli, Gianni 2 Cherniha, Roman M. 2 Conley, Charles H. 2 Fakhri, Hossein 2 Gaveau, Bernard 2 Guichardet, Alain 2 Henkel, Malte 2 Kolerov, G. I. 2 Manno, Gianni 2 Oliveri, Francesco 2 Qu, Changzheng 2 Quesne, Christiane 2 Rühl, Werner 2 Saccomandi, Giuseppe 2 Strătilă, Şerban Valentin 2 Streit, Ludwig 2 Truini, Piero 2 Varadarajan, Veeravalli S. 2 Vitolo, Raffaele F. 2 Voiculescu, Dan-Virgil 1 Aburto-Hageman, Luisa 1 Andruskiewitsch, Nicolás 1 Antoine, Jean-Pierre 1 Baloïtcha, Ezinvi 1 Böckenhauer, Jens 1 Borzov, Vadim V. 1 Boutet de Monvel, Anne Marie 1 Brzeźniak, Zdzisław 1 Cadavid, A. C. 1 Challifour, John L. 1 Charfi, Abdelwaheb 1 Chou, Kai-Seng 1 Chowdhury, S. Hasibul Hassan 1 Cordesse, Antoine 1 Damsaskinskij, E. V. 1 Dektor, Alec 1 del Olmo, Mariano A. 1 Demuth, Michael 1 Doebner, Heinz-Dietrich 1 Egorov, S. B. 1 Emch, Gerard G. 1 Finkelstein, Robert J. 1 Ghaneh, T. 1 Giraldi, João Matheus Jury 1 Gitman, Dmitri M. 1 Goldin, Gerald A. 1 Grabowski, Janusz 1 Gràcia, Xavier 1 Gross, Leonard 1 Grothaus, Martin 1 Hashemzadeh, R. 1 Heidenreich, Wolfgang F. 1 Hida, Takeyuki 1 Høegh-Krohn, Raphael J. 1 Hounkonnou, Mahouton Norbert 1 Hugenholtz, N. M. 1 Intissar, Abdelkader 1 Intissar, Jean-Karim 1 Jiang, Jian-Jian 1 Kadison, Richard Vincent 1 Kim, Vitaly E. 1 Kleppner, Adam 1 Klimyk, Anatoliy Ul’yanovich 1 Kontogiorgis, Stavros 1 Koutchouk, F. 1 Kurujyibwami, Célestin 1 Levi, Decio 1 Lipsman, Ronald L. 1 Lytvynov, Eugene W. 1 Macfadyen, N. W. 1 Manuceau, Jérôme 1 Moreno, Carlos S. 1 Mower, Lyman 1 Muñoz-Lecanda, Miguel C. 1 Murakami, Toshiki 1 Napalkov, Valentin Vasil’evich 1 Nattermann, Peter 1 Nghiêm Xuân Hai 1 Ngompe Nkouankam, E. B. 1 Odzijewicz, Anatol 1 Olivieri, Gennaro 1 Pantoja, José E. 1 Peter, Ingo J. 1 Pierotti, Dario 1 Popovych, Roman O. ...and 29 more Authors all top 5 Cited in 44 Serials 24 Journal of Mathematical Physics 15 Letters in Mathematical Physics 9 Communications in Mathematical Physics 5 Journal of Mathematical Analysis and Applications 4 Reviews in Mathematical Physics 4 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 3 International Journal of Modern Physics A 3 Reports on Mathematical Physics 3 Acta Applicandae Mathematicae 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Il Nuovo Cimento, X. Series, A 1 Acta Mechanica 1 Computers & Mathematics with Applications 1 International Journal of Theoretical Physics 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Physica A 1 Theoretical and Mathematical Physics 1 Journal of Geometry and Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Physica D 1 Annales Scientifiques de l’Université Blaise Pascal Clermont-Ferrand II. Probabilités et Applications 1 Differential Geometry and its Applications 1 Stochastic Processes and their Applications 1 Potential Analysis 1 Journal of Mathematical Sciences (New York) 1 Doklady Mathematics 1 Journal of High Energy Physics 1 Journal of Nonlinear Mathematical Physics 1 International Journal of Geometric Methods in Modern Physics 1 The European Physical Journal C. Particles and Fields 1 Physical Review, II. Series 1 Annales de l’Institut Henri Poincaré 1 Annales Scientifiques de l’École Normale Supérieure. Troisième Série 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Complex Analysis and Operator Theory 1 Journal of Physics A: Mathematical and Theoretical 1 Communications in Theoretical Physics 1 Publications of the Research Institute for Mathematical Sciences, Series A 1 Research in the Mathematical Sciences all top 5 Cited in 25 Fields 55 Quantum theory (81-XX) 29 Partial differential equations (35-XX) 27 Topological groups, Lie groups (22-XX) 19 Functional analysis (46-XX) 14 Nonassociative rings and algebras (17-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Probability theory and stochastic processes (60-XX) 7 Operator theory (47-XX) 7 Differential geometry (53-XX) 4 Measure and integration (28-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Associative rings and algebras (16-XX) 3 Special functions (33-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Mechanics of particles and systems (70-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year