Edit Profile (opens in new tab) Pommaret, Jean-Francois Co-Author Distance Author ID: pommaret.jean-francois Published as: Pommaret, J. F.; Pommaret, Jean-François; Pommaret, Jean-Francois; Pommaret, J.-F.; Pommaret, Jean- Francois more...less Documents Indexed: 96 Publications since 1972, including 6 Books and 19 Additional arXiv Preprints 2 Further Contributions Co-Authors: 3 Co-Authors with 9 Joint Publications 38 Co-Co-Authors all top 5 Co-Authors 86 single-authored 7 Quadrat, Alban 2 Lichnerowicz, Andre 1 Albert, Claude 1 Bossard, Yvon 1 Deruelle, Nathalie 1 Guenin, Marcel 1 Gutt, Simone 1 Haddak, Akli 1 Iglesias-Zemmour, Patrick 1 Kosmann-Schwarzbach, Yvette 1 Lazzarini, Serge 1 Libermann, Paulette 1 Magnon-Ashtekar, Anne 1 McLenaghan, Raymond G. 1 Modugno, Marco 1 Molino, Pierre 1 Moussu, Robert 1 Pradines, Jean 1 Souriau, Jean-Marie 1 Spindel, Philippe 1 Tafflin, Eric 1 Teyssandier, Pierre 1 Tourrenc, Philippe all top 5 Serials 13 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 12 Comptes Rendus de l’Académie des Sciences. Série I 3 Mathematics and its Applications 2 Acta Mechanica 2 Reports on Mathematical Physics 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 2 Systems & Control Letters 2 IMA Journal of Mathematical Control and Information 2 Mathematics and its Applications (Dordrecht) 1 International Journal of Control 1 Physica A 1 Journal of Geometry and Physics 1 Kybernetika 1 Acta Applicandae Mathematicae 1 Journal of Symbolic Computation 1 MCSS. Mathematics of Control, Signals, and Systems 1 Multidimensional Systems and Signal Processing 1 Applicable Algebra in Engineering, Communication and Computing 1 International Journal of Applied Mathematics and Computer Science 1 Mathematics in Computer Science 1 The Arabian Journal for Science and Engineering (AJSE). Mathematics all top 5 Fields 47 Global analysis, analysis on manifolds (58-XX) 23 Systems theory; control (93-XX) 22 Differential geometry (53-XX) 21 Partial differential equations (35-XX) 15 Topological groups, Lie groups (22-XX) 10 Commutative algebra (13-XX) 8 Field theory and polynomials (12-XX) 7 Nonassociative rings and algebras (17-XX) 5 Mechanics of deformable solids (74-XX) 5 Relativity and gravitational theory (83-XX) 4 Associative rings and algebras (16-XX) 4 Quantum theory (81-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Manifolds and cell complexes (57-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Algebraic topology (55-XX) 2 Fluid mechanics (76-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 372 times in 260 Documents Cited by ▼ Year ▼ Systems of partial differential equations and Lie pseudogroups. Zbl 0418.35028 Pommaret, J. F. 116 1978 Algebraic analysis of linear multidimensional control systems. Zbl 1158.93319 Pommaret, J. F.; Quadrat, A. 38 1999 Partial differential equations and group theory. New perspectives for applications. Zbl 0808.35002 Pommaret, J.-F. 38 1994 Partial differential control theory. Vol. 1: Mathematical tools. Vol. 2: Control systems. Zbl 1079.93001 Pommaret, J.-F. 21 2001 Differential Galois theory. Zbl 0539.12013 Pommaret, J. F. 18 1983 Localization and parametrization of linear multidimensional control systems. Zbl 0948.93016 Pommaret, J. F.; Quadrat, A. 17 1999 Lie pseudogroups and mechanics. Zbl 0677.58003 Pommaret, J. F. 16 1988 Generalized Bézout identity. Zbl 1073.93516 Pommaret, J. F.; Quadrat, A. 11 1998 Systems of partial differential equations and Lie pseudogroups. With a preface by Andre Lichnerowicz. Zbl 0401.58006 Pommaret, J. F. 9 1978 A functorial approach to the behaviour of multidimensional control systems. Zbl 1040.93510 Pommaret, Jean-François; Quadrat, Alban 8 2003 A functorial approach to the behaviour of multidimensional control systems. Zbl 0971.93017 Pommaret, J. F.; Quadrat, A. 7 2000 Formal elimination for multidimensional systems and application to control theory. Zbl 1120.93312 Pommaret, J. F.; Quadrat, A. 6 2000 Differential duality and applications. (Dualité différentielle et applications.) Zbl 0863.93016 Pommaret, Jean-François 5 1995 A differential operator approach to multidimensional optimal control. Zbl 1136.93359 Pommaret, J.-F.; Quadrat, A. 5 2004 Partial differential control theory and causality. Zbl 0755.93048 Pommaret, J. F. 5 1991 Algebraic analysis of control systems defined by partial differential equations. Zbl 1167.93328 Pommaret, Jean-François 4 2005 Differential Galois theory and symplectic geometry. Zbl 0528.12019 Pommaret, J. F. 4 1983 Controllability of nonlinear multidimensional control systems. Zbl 1127.93334 Pommaret, Jean-François 3 2001 Géométrie différentielle algébrique et théorie du contrôle. (Differential algebraic geometry and control theory). Zbl 0594.93030 Pommaret, Jean-François 3 1986 Spencer sequence and variational sequence. Zbl 0840.35085 Pommaret, J. F. 3 1995 A survey of Galois theory for systems of partial differential equations and its applications in physics. Zbl 0525.58038 Pommaret, J.-F. 3 1982 Macaulay inverse systems revisited. Zbl 1233.35069 Pommaret, J. F. 3 2011 Systems of partial differential equations and Lie pseudogroups. (Sistemy uravnenij s chastnymi proizvodnymi i psevdogruppy Li). Transl. from the English. Zbl 0544.58023 Pommaret, J. F. 3 1983 Sur certaines derivations des algèbres de Lie infinies. Zbl 0305.58020 Pommaret, Jean-Francois 2 1975 Einstein equations do not admit a generic potential. Zbl 0858.35126 Pommaret, J. F. 2 1996 New perspectives in control theory for partial differential equations. Zbl 0783.93061 Pommaret, J. F. 2 1992 Intrinsic differential algebra. Zbl 0802.35023 Pommaret, J. F. 2 1991 Bäcklund problem, differential algebra and group theory. Zbl 0534.35081 Pommaret, Jean-François 2 1983 Problèmes formels en théorie du contrôle aux dérivées partielles. (Formal problems in partial differential control theory). Zbl 0676.93035 Pommaret, Jean-François 2 1989 Parametrization of Cosserat equations. Zbl 1398.74259 Pommaret, J.-F. 2 2010 Gröbner bases in algebraic analysis: new perspectives for applications. Zbl 1260.35005 Pommaret, Jean-François 2 2007 Differential Galois theory. Zbl 0453.12009 Pommaret, J. F. 1 1980 Physics and deformation theory of finite and infinite Lie algebras. Zbl 0366.58014 Pommaret, J. F. 1 1976 Physics and pseudogroups. Zbl 0395.58007 Pommaret, J. F. 1 1978 Relative parametrization of linear multidimensional systems. Zbl 1358.13026 Pommaret, Jean-Francois 1 2015 Étude interne des systèmes linéaires d’équations aux dérivées partielles. Zbl 0253.35015 Pommaret, J. F. 1 1972 Group interpretation of coupling phenomena. Zbl 0988.22011 Pommaret, J.-F. 1 2001 Effective methods for systems of algebraic partial differential equations. Zbl 0734.13014 Pommaret, Jean-François; Haddak, Akli 1 1991 Deformation theory of algebraic and geometric structures. Zbl 0738.58053 Pommaret, J. F. 1 1991 Geometric methods for Cosserat media. Zbl 0806.73063 Pommaret, J. F. 1 1990 Lie pseudogroups and differential sequences. New perspectives in two- dimensional conformal geometry. Zbl 0771.58048 Lazzarini, Serge; Pommaret, Jean-François 1 1992 Relative parametrization of linear multidimensional systems. Zbl 1358.13026 Pommaret, Jean-Francois 1 2015 Macaulay inverse systems revisited. Zbl 1233.35069 Pommaret, J. F. 3 2011 Parametrization of Cosserat equations. Zbl 1398.74259 Pommaret, J.-F. 2 2010 Gröbner bases in algebraic analysis: new perspectives for applications. Zbl 1260.35005 Pommaret, Jean-François 2 2007 Algebraic analysis of control systems defined by partial differential equations. Zbl 1167.93328 Pommaret, Jean-François 4 2005 A differential operator approach to multidimensional optimal control. Zbl 1136.93359 Pommaret, J.-F.; Quadrat, A. 5 2004 A functorial approach to the behaviour of multidimensional control systems. Zbl 1040.93510 Pommaret, Jean-François; Quadrat, Alban 8 2003 Partial differential control theory. Vol. 1: Mathematical tools. Vol. 2: Control systems. Zbl 1079.93001 Pommaret, J.-F. 21 2001 Controllability of nonlinear multidimensional control systems. Zbl 1127.93334 Pommaret, Jean-François 3 2001 Group interpretation of coupling phenomena. Zbl 0988.22011 Pommaret, J.-F. 1 2001 A functorial approach to the behaviour of multidimensional control systems. Zbl 0971.93017 Pommaret, J. F.; Quadrat, A. 7 2000 Formal elimination for multidimensional systems and application to control theory. Zbl 1120.93312 Pommaret, J. F.; Quadrat, A. 6 2000 Algebraic analysis of linear multidimensional control systems. Zbl 1158.93319 Pommaret, J. F.; Quadrat, A. 38 1999 Localization and parametrization of linear multidimensional control systems. Zbl 0948.93016 Pommaret, J. F.; Quadrat, A. 17 1999 Generalized Bézout identity. Zbl 1073.93516 Pommaret, J. F.; Quadrat, A. 11 1998 Einstein equations do not admit a generic potential. Zbl 0858.35126 Pommaret, J. F. 2 1996 Differential duality and applications. (Dualité différentielle et applications.) Zbl 0863.93016 Pommaret, Jean-François 5 1995 Spencer sequence and variational sequence. Zbl 0840.35085 Pommaret, J. F. 3 1995 Partial differential equations and group theory. New perspectives for applications. Zbl 0808.35002 Pommaret, J.-F. 38 1994 New perspectives in control theory for partial differential equations. Zbl 0783.93061 Pommaret, J. F. 2 1992 Lie pseudogroups and differential sequences. New perspectives in two- dimensional conformal geometry. Zbl 0771.58048 Lazzarini, Serge; Pommaret, Jean-François 1 1992 Partial differential control theory and causality. Zbl 0755.93048 Pommaret, J. F. 5 1991 Intrinsic differential algebra. Zbl 0802.35023 Pommaret, J. F. 2 1991 Effective methods for systems of algebraic partial differential equations. Zbl 0734.13014 Pommaret, Jean-François; Haddak, Akli 1 1991 Deformation theory of algebraic and geometric structures. Zbl 0738.58053 Pommaret, J. F. 1 1991 Geometric methods for Cosserat media. Zbl 0806.73063 Pommaret, J. F. 1 1990 Problèmes formels en théorie du contrôle aux dérivées partielles. (Formal problems in partial differential control theory). Zbl 0676.93035 Pommaret, Jean-François 2 1989 Lie pseudogroups and mechanics. Zbl 0677.58003 Pommaret, J. F. 16 1988 Géométrie différentielle algébrique et théorie du contrôle. (Differential algebraic geometry and control theory). Zbl 0594.93030 Pommaret, Jean-François 3 1986 Differential Galois theory. Zbl 0539.12013 Pommaret, J. F. 18 1983 Differential Galois theory and symplectic geometry. Zbl 0528.12019 Pommaret, J. F. 4 1983 Systems of partial differential equations and Lie pseudogroups. (Sistemy uravnenij s chastnymi proizvodnymi i psevdogruppy Li). Transl. from the English. Zbl 0544.58023 Pommaret, J. F. 3 1983 Bäcklund problem, differential algebra and group theory. Zbl 0534.35081 Pommaret, Jean-François 2 1983 A survey of Galois theory for systems of partial differential equations and its applications in physics. Zbl 0525.58038 Pommaret, J.-F. 3 1982 Differential Galois theory. Zbl 0453.12009 Pommaret, J. F. 1 1980 Systems of partial differential equations and Lie pseudogroups. Zbl 0418.35028 Pommaret, J. F. 116 1978 Systems of partial differential equations and Lie pseudogroups. With a preface by Andre Lichnerowicz. Zbl 0401.58006 Pommaret, J. F. 9 1978 Physics and pseudogroups. Zbl 0395.58007 Pommaret, J. F. 1 1978 Physics and deformation theory of finite and infinite Lie algebras. Zbl 0366.58014 Pommaret, J. F. 1 1976 Sur certaines derivations des algèbres de Lie infinies. Zbl 0305.58020 Pommaret, Jean-Francois 2 1975 Étude interne des systèmes linéaires d’équations aux dérivées partielles. Zbl 0253.35015 Pommaret, J. F. 1 1972 all cited Publications top 5 cited Publications all top 5 Cited by 279 Authors 15 Pommaret, Jean-Francois 12 Seiler, Werner M. 11 Quadrat, Alban 9 Zerz, Eva 7 Lomadze, Vakhtang 7 Pal, Debasattam 7 Robertz, Daniel 6 Gerdt, Vladimir Petrovich 6 Schlacher, Kurt 6 Tuomela, Jukka 5 Ceria, Michela 5 Edelen, Dominic Gardiner Bowling 5 Kaptsov, Oleg Viktorovich 5 Neshchadim, Mikhail Vladimirovich 5 Pillai, Harish K. 4 Cluzeau, Thomas 4 Fliess, Michel 4 Hashemi, Amir 4 Khavkine, Igor 4 Kotta, Ulle 4 Massa, Enrico 4 Pasquero, Stefano 4 Tõnso, Maris 3 Blinkov, Yuri A. 3 Chupakhin, Aleksandr Pavlovich 3 Dolan, Patrick 3 Gao, Xiaoshan 3 Krupchyk, Katsiaryna 3 Lévine, Jean 3 Mohammadi, Bijan 3 Mora, Teo 3 Oberst, Ulrich 3 Pagani, Enrico M. 3 Roggero, Margherita 3 Sasane, Amol J. 3 Urban, Zbyněk 3 Vinogradov, Aleksandr Mikhaĭlovich 3 Volná, Jana 3 Zehetleitner, Kurt 2 Aaberge, Terje 2 Anikonov, Yuriĭ Evgenievich 2 Bartosiewicz, Zbigniew 2 Boudellioua, Mohamed Salah 2 Boyer, Frédéric 2 Casale, Guy 2 Chen, Yufu 2 de León Rodríguez, Manuel 2 Epstein, Marcelo 2 Ferraris, Marco 2 Francaviglia, Mauro 2 Krupka, Demeter 2 Lange-Hegermann, Markus 2 Lazzarini, Serge 2 Malbos, Philippe 2 Mukherjee, Mousumi 2 Muriel, Francisco J. 2 Nikolov, Petko A. 2 Olver, Peter John 2 Palese, Marcella 2 Petrov, Nikola P. 2 Popovych, Roman O. 2 Reid, Gregory John 2 Rieger, Karl 2 Rosly, A. A. 2 Schwarz, Albert S. 2 Sira-Ramírez, Hebertt J. 2 Vassiliou, Peter John 2 Vitolo, Raffaele F. 2 Wittkopf, Allan D. 2 Wyrwas, Małgorzata 1 Abadoglu, Ender 1 Alberti, Maria Alberta 1 Antritter, Felix 1 Area, Iván 1 Augeraud-Véron, Emmanuelle 1 Ball, Joseph Anthony 1 Bandelloni, Giuseppe 1 Barakat, Mohamed 1 Barth, Lukas Silvester 1 Bejarano, Francisco Javier 1 Belopol’skaya, Yana Isaevna 1 Bihlo, Alexander 1 Binaei, Bentolhoda 1 Bocharov, Alexei V. 1 Boquet, Grant M. 1 Boulier, François 1 Boulton, Alan 1 Bourlès, Henri 1 Bronshtejn, M. L. 1 Bruno, Danilo 1 Cabau, Patrick 1 Calmet, Jacques 1 Carloni, Sante 1 Cassidy, Phyllis Joan 1 Catuogno, Pedro José 1 Cazaurang, Franck 1 Chang, Dong Eui 1 Chen, Jeongoo 1 Chen, Wensheng 1 Chetverikov, Vladimir N. ...and 179 more Authors all top 5 Cited in 98 Serials 18 Journal of Symbolic Computation 14 Systems & Control Letters 13 Multidimensional Systems and Signal Processing 10 Acta Applicandae Mathematicae 8 Journal of Geometry and Physics 7 International Journal of Control 7 Journal of Mathematical Physics 6 International Journal of Theoretical Physics 6 Reports on Mathematical Physics 6 Differential Geometry and its Applications 6 Linear Algebra and its Applications 6 Journal of Mathematical Sciences (New York) 5 Journal of Mathematical Analysis and Applications 5 Mathematics and Computers in Simulation 5 International Journal of Geometric Methods in Modern Physics 5 Mathematics in Computer Science 4 Acta Mechanica 4 Theoretical and Mathematical Physics 4 Automatica 3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 3 Advances in Applied Mathematics 3 Mathematical and Computer Modelling 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 2 Communications in Mathematical Physics 2 Computer Methods in Applied Mechanics and Engineering 2 General Relativity and Gravitation 2 Journal of Algebra 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Kybernetika 2 Programming and Computer Software 2 Physica D 2 European Journal of Applied Mathematics 2 Historia Mathematica 2 Applicable Algebra in Engineering, Communication and Computing 2 Journal of Nonlinear Science 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Annales Henri Poincaré 2 Foundations of Computational Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 PAMM. Proceedings in Applied Mathematics and Mechanics 1 International Journal of Modern Physics A 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Discrete Applied Mathematics 1 International Journal of Engineering Science 1 Letters in Mathematical Physics 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Prikladnaya Matematika i Mekhanika 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Bulletin de la Société Mathématique de France 1 Dissertationes Mathematicae 1 Journal of Pure and Applied Algebra 1 Journal of Soviet Mathematics 1 Mathematische Annalen 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 SIAM Journal on Control and Optimization 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Automated Reasoning 1 Applied Mathematics Letters 1 MCSS. Mathematics of Control, Signals, and Systems 1 Science in China. Series A 1 MSCS. Mathematical Structures in Computer Science 1 International Journal of Computer Mathematics 1 Journal of Elasticity 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Mathematics 1 Annals of Mathematics and Artificial Intelligence 1 International Journal of Computational Fluid Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical and Computer Modelling of Dynamical Systems 1 Annalen der Physik. 8th Series 1 LMS Journal of Computation and Mathematics 1 Regular and Chaotic Dynamics 1 International Journal of Applied Mathematics and Computer Science 1 Differential Equations 1 Portugaliae Mathematica. Nova Série 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Science China. Mathematics 1 Mathematical Control and Related Fields 1 Axioms 1 Nonlinear Analysis. Theory, Methods & Applications 1 Computational Methods for Differential Equations 1 Journal of Siberian Federal University. Mathematics & Physics 1 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal all top 5 Cited in 38 Fields 70 Systems theory; control (93-XX) 62 Partial differential equations (35-XX) 56 Global analysis, analysis on manifolds (58-XX) 40 Computer science (68-XX) 38 Commutative algebra (13-XX) 29 Mechanics of particles and systems (70-XX) 28 Differential geometry (53-XX) 21 Ordinary differential equations (34-XX) 21 Dynamical systems and ergodic theory (37-XX) 17 Field theory and polynomials (12-XX) 16 Associative rings and algebras (16-XX) 15 Numerical analysis (65-XX) 13 Relativity and gravitational theory (83-XX) 12 Quantum theory (81-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Mechanics of deformable solids (74-XX) 7 Nonassociative rings and algebras (17-XX) 6 History and biography (01-XX) 6 Algebraic geometry (14-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Fluid mechanics (76-XX) 5 Operator theory (47-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Optics, electromagnetic theory (78-XX) 3 Mathematical logic and foundations (03-XX) 3 Category theory; homological algebra (18-XX) 3 Topological groups, Lie groups (22-XX) 3 Difference and functional equations (39-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Manifolds and cell complexes (57-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year