Edit Profile (opens in new tab) Dumas, François Compute Distance To: Compute Author ID: dumas.francois Published as: Dumas, François; Dumas, F. Documents Indexed: 27 Publications since 1986 1 Contribution as Editor Co-Authors: 13 Co-Authors with 21 Joint Publications 192 Co-Co-Authors all top 5 Co-Authors 7 single-authored 12 Alev, Jacques 2 Le Dimet, Jean-Yves 2 Paycha, Sylvie 2 Royer, Emmanuel 1 Adong, F. 1 Andruskiewitsch, Nicolás 1 Bennequin, Daniel 1 Bennis, Anne-Claire 1 Boutet, M. 1 Choie, YoungJu 1 Jordan, David Alan 1 Martin, François 1 Rigal, Laurent 1 Vidal, Robert J. all top 5 Serials 4 Comptes Rendus de l’Académie des Sciences. Série I 3 Communications in Algebra 2 Journal of Algebra and its Applications 1 Journal of Computational Physics 1 Annales Polonici Mathematici 1 Collectanea Mathematica 1 Journal of Algebra 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Theoretical Computer Science 1 Séminaire d’Analyse. Université Blaise Pascal. Clermont II 1 Boletin de la Academia Nacional de Ciencias (Córdoba) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Panoramas et Synthèses 1 Algebra & Number Theory all top 5 Fields 24 Associative rings and algebras (16-XX) 11 Nonassociative rings and algebras (17-XX) 3 Differential geometry (53-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 152 times in 112 Documents Cited by ▼ Year ▼ On the field of fractions of certain quantum algebras. (Sur le corps des fractions de certaines algèbres quantiques.) Zbl 0820.17015Alev, J.; Dumas, F. 50 1994 Rigidity of embeddings of minimal primitive quotients of \(U_ q(sl(2))\) in the Weyl-Hayashi quantum algebra. (Rigidité des plongements des quotients primitifs minimaux de \(U_ q(sl(2))\) dans l’algèbre quantique de Weyl-Hayashi.) Zbl 0862.16019Alev, J.; Dumas, F. 26 1996 Invariants of Weyl skew fields under the action of finite groups. (Invariants du corps de Weyl sous l’action de groupes finis.) Zbl 0886.16025Alev, J.; Dumas, F. 23 1997 On the automorphisms of \(U^+_q(\mathfrak{g})\). Zbl 1182.17003Andruskiewitsch, Nicolás; Dumas, François 14 2008 Automorphisms of certain completions of quantum Weyl skewfields. (Automorphismes de certains complétés du corps de Weyl quantique.) Zbl 0842.16022Alev, J.; Dumas, F. 5 1995 Subfields of rational fractions of skew fields of Laurent series. (Sous-corps de fractions rationnelles des corps gauches de séries de Laurent.) Zbl 0757.16012Dumas, François 4 1991 Mixed Weyl fields. (Corps de Weyl mixtes.) Zbl 1006.16019Alev, J.; Dumas, F. 4 2000 Prime spectrum and automorphisms for \(2\times 2\) Jordanian matrices. Zbl 1014.16040Dumas, François; Rigal, Laurent 4 2002 The \(2\times 2\) quantum matrix Weyl algebra. Zbl 0851.16025Dumas, François; Jordan, David A. 3 1996 Poisson structures and star products on quasimodular forms. Zbl 1362.17041Dumas, François; Royer, Emmanuel 3 2014 On enveloping skew fields of some Lie superalgebras. Zbl 1405.17024Alev, Jacques; Dumas, François 3 2016 Hautes dérivations et anneaux de séries formelles non commutatifs en caractéristique nulle. (Higher derivations and skew power series rings of characteristic zero). Zbl 0603.16003Dumas, François 2 1986 On the invariants of Weyl algebras and of their fields of fractions. (Sur les invariants des algèbres de Weyl et de leurs corps de fractions.) Zbl 0904.16013Alev, J.; Dumas, F. 2 1998 Invariant differential operators and the Noether problem. (Opérateurs différentiels invariants et problème de Noether.) Zbl 1102.16015Alev, Jacques; Dumas, François 2 2006 Hautes dérivations équivalentes, en caractéristique nulle. (Equivalent higher derivations, in characteristic zero). Zbl 0606.16003Dumas, François 1 1986 Hautes dérivations dans les corps gauches, en caractéristique nulle. (Higher derivations in skew fields of characteristic zero). Zbl 0661.16031Dumas, François 1 1988 Centre des anneaux de Cohen, en caractéristique nulle. (Center of Cohen’s rings of characteristic zero). Zbl 0667.16001Dumas, François 1 1989 Applications of the notion of rationality in fields of non-commutative Laurent series. (Applications de la notion de rationalité dans les corps de séries de Laurent non commutatifs.) Zbl 0872.12004Dumas, François 1 1990 Dérivations, et hautes dérivations, dans certains corps gauches de séries de Laurent. (Derivations, and higher derivations, in certain skew fields of Laurent series). Zbl 0723.16019Dumas, François; Vidal, Robert 1 1992 Enveloping skewfields of the nilpotent positive part and the Borel subsuperalgebra of \(\mathfrak{osp}(1,2n)\). Zbl 1455.17013Alev, Jacques; Dumas, François 1 2019 Field generators for the quantum plane. Zbl 1090.16009Alev, Jacques; Dumas, François 1 2003 Enveloping skewfields of the nilpotent positive part and the Borel subsuperalgebra of \(\mathfrak{osp}(1,2n)\). Zbl 1455.17013Alev, Jacques; Dumas, François 1 2019 On enveloping skew fields of some Lie superalgebras. Zbl 1405.17024Alev, Jacques; Dumas, François 3 2016 Poisson structures and star products on quasimodular forms. Zbl 1362.17041Dumas, François; Royer, Emmanuel 3 2014 On the automorphisms of \(U^+_q(\mathfrak{g})\). Zbl 1182.17003Andruskiewitsch, Nicolás; Dumas, François 14 2008 Invariant differential operators and the Noether problem. (Opérateurs différentiels invariants et problème de Noether.) Zbl 1102.16015Alev, Jacques; Dumas, François 2 2006 Field generators for the quantum plane. Zbl 1090.16009Alev, Jacques; Dumas, François 1 2003 Prime spectrum and automorphisms for \(2\times 2\) Jordanian matrices. Zbl 1014.16040Dumas, François; Rigal, Laurent 4 2002 Mixed Weyl fields. (Corps de Weyl mixtes.) Zbl 1006.16019Alev, J.; Dumas, F. 4 2000 On the invariants of Weyl algebras and of their fields of fractions. (Sur les invariants des algèbres de Weyl et de leurs corps de fractions.) Zbl 0904.16013Alev, J.; Dumas, F. 2 1998 Invariants of Weyl skew fields under the action of finite groups. (Invariants du corps de Weyl sous l’action de groupes finis.) Zbl 0886.16025Alev, J.; Dumas, F. 23 1997 Rigidity of embeddings of minimal primitive quotients of \(U_ q(sl(2))\) in the Weyl-Hayashi quantum algebra. (Rigidité des plongements des quotients primitifs minimaux de \(U_ q(sl(2))\) dans l’algèbre quantique de Weyl-Hayashi.) Zbl 0862.16019Alev, J.; Dumas, F. 26 1996 The \(2\times 2\) quantum matrix Weyl algebra. Zbl 0851.16025Dumas, François; Jordan, David A. 3 1996 Automorphisms of certain completions of quantum Weyl skewfields. (Automorphismes de certains complétés du corps de Weyl quantique.) Zbl 0842.16022Alev, J.; Dumas, F. 5 1995 On the field of fractions of certain quantum algebras. (Sur le corps des fractions de certaines algèbres quantiques.) Zbl 0820.17015Alev, J.; Dumas, F. 50 1994 Dérivations, et hautes dérivations, dans certains corps gauches de séries de Laurent. (Derivations, and higher derivations, in certain skew fields of Laurent series). Zbl 0723.16019Dumas, François; Vidal, Robert 1 1992 Subfields of rational fractions of skew fields of Laurent series. (Sous-corps de fractions rationnelles des corps gauches de séries de Laurent.) Zbl 0757.16012Dumas, François 4 1991 Applications of the notion of rationality in fields of non-commutative Laurent series. (Applications de la notion de rationalité dans les corps de séries de Laurent non commutatifs.) Zbl 0872.12004Dumas, François 1 1990 Centre des anneaux de Cohen, en caractéristique nulle. (Center of Cohen’s rings of characteristic zero). Zbl 0667.16001Dumas, François 1 1989 Hautes dérivations dans les corps gauches, en caractéristique nulle. (Higher derivations in skew fields of characteristic zero). Zbl 0661.16031Dumas, François 1 1988 Hautes dérivations et anneaux de séries formelles non commutatifs en caractéristique nulle. (Higher derivations and skew power series rings of characteristic zero). Zbl 0603.16003Dumas, François 2 1986 Hautes dérivations équivalentes, en caractéristique nulle. (Equivalent higher derivations, in characteristic zero). Zbl 0606.16003Dumas, François 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 122 Authors 9 Dumas, François 7 Launois, Stéphane 7 Lopes, Samuel A. 6 Futorny, Vyacheslav M. 5 Alev, Jacques 5 Artamonov, Vyacheslav Aleksandrovich 5 Gaddis, Jason 5 Jordan, David Alan 5 Richard, Lionel 5 Schwarz, João Fernando 4 Goodearl, Kenneth R. 4 Hartwig, Jonas T. 4 Yakimov, Milen T. 4 Zhang, James J. 3 Cauchon, Gerard 2 Benkart, Georgia M. 2 Carvalho, Paula A. A. B. 2 Çeken, Seçil 2 Fukuda, Nobuyuki 2 Hatipoğlu, Can 2 Kirkman, Ellen E. 2 Kuzmanovich, James J. 2 Lecoutre, César 2 Lenagan, Thomas H. 2 Letzter, Edward S. 2 Lezama, Oswaldo 2 Li, Libin 2 Lomp, Christian 2 Maksimov, Valeri M. 2 Mériaux, Antoine 2 Ondrus, Matthew 2 Palmieri, John H. 2 Tang, Xin 2 van Oystaeyen, Freddy 2 Wang, Yanhua 2 Wu, Jingyan 2 Yee, Daniel 1 Acosta, Juan Pablo 1 Akhavizadegan, M. 1 Bavula, Vladimir V. 1 Ben Yakoub, L’Moufadal 1 Berest, Yuri Yu. 1 Bergen, Jeffrey 1 Caldero, Philippe 1 Camacho, Luisa Maria 1 Chan, Kenneth S. 1 Chaparro, Cristian 1 Chiang, Li 1 Choie, YoungJu 1 Chu, Huah 1 Chuang, Chen-Lian 1 Cline, Zachary 1 Cohn, Paul Moritz 1 Cooney, Nicholas 1 El Kaoutit, Laiachi 1 Fairon, Maxime 1 Fauquant-Millet, Florence 1 Ferrero, Miguel A. 1 Fish, Christopher D. 1 Fleury-Barka, Odile 1 Fryer, Siân 1 Fujita, Hisaaki 1 Gamkrelidze, Revaz Valerianovich 1 Geiger, Joel B. 1 Golovashkin, A. V. 1 Gómez, José R. 1 Grabowski, Jan Edward 1 Haetinger, Claus 1 Havlíček, Miloslav 1 Haynal, Heidi 1 Hazewinkel, Michiel 1 Horton, Karen L. 1 Kaĭgorodov, Ivan B. 1 Kang, Ming-Chang 1 Keilberg, Marc 1 Kitchin, Andrew P. 1 Kotrbatý, Jan 1 Li, Huishi 1 Li, Min 1 Lopatin, Artem A. 1 Lu, Tao 1 Malliavin, Marie-Paule 1 Martin, François 1 Mashurov, Farukh A. 1 Montgomery, Susan 1 Mori, Izuru 1 Moylan, Patrick 1 Mutalip, Riza 1 Naurazbekova, Altyngul Serikovna 1 Navarro, Rosa María 1 Ojeda, Ingrid 1 Pirkovskiĭ, Alekseĭ Yul’evich 1 Pošta, Severin 1 Price, Kenneth L. 1 Ramadoss, Ajay C. 1 Rigal, Laurent 1 Rodriguez Palma, Carlos Arturo 1 Royer, Emmanuel 1 Sasom, Nongkhran 1 Shestakov, Ivan Pavlovich ...and 22 more Authors all top 5 Cited in 30 Serials 24 Communications in Algebra 21 Journal of Algebra 10 Journal of Mathematical Sciences (New York) 8 Journal of Pure and Applied Algebra 7 Journal of Algebra and its Applications 5 Transactions of the American Mathematical Society 4 Algebras and Representation Theory 3 Advances in Mathematics 3 Mathematische Zeitschrift 2 Bulletin of the Australian Mathematical Society 2 Journal of Noncommutative Geometry 2 São Paulo Journal of Mathematical Sciences 1 Journal of Mathematical Physics 1 Glasgow Mathematical Journal 1 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 1 International Journal of Algebra and Computation 1 Linear Algebra and its Applications 1 Algebra Colloquium 1 Selecta Mathematica. New Series 1 Representation Theory 1 Acta Mathematica Sinica. English Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Asian-European Journal of Mathematics 1 Science China. Mathematics 1 Communications in Mathematics 1 Communications in Mathematics and Statistics 1 Annales Henri Lebesgue all top 5 Cited in 17 Fields 101 Associative rings and algebras (16-XX) 50 Nonassociative rings and algebras (17-XX) 8 Commutative algebra (13-XX) 8 Group theory and generalizations (20-XX) 6 Algebraic geometry (14-XX) 2 Number theory (11-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) Citations by Year