Edit Profile Dumas, François Compute Distance To: Compute Author ID: dumas.francois Published as: Dumas, F.; Dumas, François Documents Indexed: 25 Publications since 1986, including 1 Book all top 5 Co-Authors 7 single-authored 11 Alev, Jacques 2 Le Dimet, Jean-Yves 2 Paycha, Sylvie 1 Andruskiewitsch, Nicolás 1 Jordan, David Alan 1 Rigal, Laurent 1 Royer, Emmanuel 1 Vidal, Robert J. all top 5 Serials 4 Comptes Rendus de l’Académie des Sciences. Série I 3 Communications in Algebra 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 Journal of Algebra and its Applications 1 Panoramas et Synthèses 1 Algebra & Number Theory all top 5 Fields 22 Associative rings and algebras (16-XX) 9 Nonassociative rings and algebras (17-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 20 Publications have been cited 137 times in 100 Documents Cited by ▼ Year ▼ On the field of fractions of certain quantum algebras. Zbl 0820.17015Alev, J.; Dumas, F. 48 1994 Rigidity of embeddings of minimal primitive quotients of \(U_ q(sl(2))\) in the Weyl-Hayashi quantum algebra. Zbl 0862.16019Alev, J.; Dumas, F. 25 1996 Invariants of Weyl skew fields under the action of finite groups. Zbl 0886.16025Alev, J.; Dumas, F. 17 1997 On the automorphisms of \(U^+_q(\mathfrak{g})\). Zbl 1182.17003Andruskiewitsch, Nicolás; Dumas, François 13 2008 Automorphisms of certain completions of quantum Weyl skewfields. Zbl 0842.16022Alev, J.; Dumas, F. 5 1995 Prime spectrum and automorphisms for \(2\times 2\) Jordanian matrices. Zbl 1014.16040Dumas, François; Rigal, Laurent 4 2002 Mixed Weyl fields. Zbl 1006.16019Alev, J.; Dumas, F. 4 2000 The \(2\times 2\) quantum matrix Weyl algebra. Zbl 0851.16025Dumas, François; Jordan, David A. 3 1996 Subfields of rational fractions of skew fields of Laurent series. Zbl 0757.16012Dumas, François 3 1991 On enveloping skew fields of some Lie superalgebras. Zbl 1405.17024Alev, Jacques; Dumas, François 2 2016 Poisson structures and star products on quasimodular forms. Zbl 1362.17041Dumas, François; Royer, Emmanuel 2 2014 On the invariants of Weyl algebras and of their fields of fractions. Zbl 0904.16013Alev, J.; Dumas, F. 2 1998 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 Invariant differential operators and the Noether problem. Zbl 1102.16015Alev, Jacques; Dumas, François 1 2006 Field generators for the quantum plane. Zbl 1090.16009Alev, Jacques; Dumas, François 1 2003 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 Applications of the notion of rationality in fields of non-commutative Laurent series. 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 équivalentes, en caractéristique nulle. (Equivalent higher derivations, in characteristic zero). Zbl 0606.16003Dumas, François 1 1986 On enveloping skew fields of some Lie superalgebras. Zbl 1405.17024Alev, Jacques; Dumas, François 2 2016 Poisson structures and star products on quasimodular forms. Zbl 1362.17041Dumas, François; Royer, Emmanuel 2 2014 On the automorphisms of \(U^+_q(\mathfrak{g})\). Zbl 1182.17003Andruskiewitsch, Nicolás; Dumas, François 13 2008 Invariant differential operators and the Noether problem. Zbl 1102.16015Alev, Jacques; Dumas, François 1 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. Zbl 1006.16019Alev, J.; Dumas, F. 4 2000 On the invariants of Weyl algebras and of their fields of fractions. Zbl 0904.16013Alev, J.; Dumas, F. 2 1998 Invariants of Weyl skew fields under the action of finite groups. Zbl 0886.16025Alev, J.; Dumas, F. 17 1997 Rigidity of embeddings of minimal primitive quotients of \(U_ q(sl(2))\) in the Weyl-Hayashi quantum algebra. Zbl 0862.16019Alev, J.; Dumas, F. 25 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. Zbl 0842.16022Alev, J.; Dumas, F. 5 1995 On the field of fractions of certain quantum algebras. Zbl 0820.17015Alev, J.; Dumas, F. 48 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. Zbl 0757.16012Dumas, François 3 1991 Applications of the notion of rationality in fields of non-commutative Laurent series. 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 109 Authors 7 Dumas, François 7 Launois, Stéphane 6 Lopes, Samuel A. 5 Artamonov, Vyacheslav Aleksandrovich 5 Gaddis, Jason 5 Jordan, David Alan 5 Richard, Lionel 4 Alev, Jacques 4 Futorny, Vyacheslav M. 4 Goodearl, Kenneth R. 4 Hartwig, Jonas T. 4 Yakimov, Milen T. 3 Cauchon, Gerard 3 Schwarz, João Fernando 3 Zhang, James J. 2 Benkart, Georgia M. 2 Carvalho, Paula A. A. B. 2 Çeken, Seçil 2 Fukuda, Nobuyuki 2 Kirkman, Ellen E. 2 Kuzmanovich, James J. 2 Lecoutre, César 2 Lenagan, Thomas H. 2 Letzter, Edward S. 2 Li, Libin 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, Volodymyr 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 Chu, Huah 1 Chuang, Chen-Lian 1 Cline, Zachary 1 Cohn, Paul Moritz 1 El Kaoutit, Laiachi 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 Haetinger, Claus 1 Hatipoğlu, Can 1 Havlíček, Miloslav 1 Haynal, Heidi 1 Hazewinkel, Michiel 1 Horton, Karen L. 1 Kang, Ming-Chang 1 Keilberg, Marc 1 Kitchin, Andrew P. 1 Kotrbatý, Jan 1 Lezama, Oswaldo 1 Li, Huishi 1 Li, Min 1 Lomp, Christian 1 Lu, Tao 1 Malliavin, Marie-Paule 1 Montgomery, Susan 1 Mori, Izuru 1 Moylan, Patrick 1 Navarro, Rosa María 1 Ojeda, Ingrid 1 Panov, Alexander D. 1 Pirkovskiĭ, Alekseĭ Yul’evich 1 Pošta, Severin 1 Price, Kenneth L. 1 Ramadoss, Ajay C. 1 Rigal, Laurent 1 Sasom, Nongkhran 1 Shirikov, Evgenij N. 1 Solotar, Andrea Leonor 1 Suarez-Alvarez, Mariano 1 Tang, Xiang 1 Van Rompay, Kristel 1 Vancliff, Michaela 1 Vega, Maria D. 1 Venegas, César 1 Vivas, Quimey 1 Wang, Linhong 1 Wang, Xingting 1 Wang, Xiuling ...and 9 more Authors all top 5 Cited in 24 Serials 23 Communications in Algebra 19 Journal of Algebra 10 Journal of Mathematical Sciences (New York) 7 Journal of Pure and Applied Algebra 6 Journal of Algebra and its Applications 5 Transactions of the American Mathematical Society 4 Algebras and Representation Theory 3 Mathematische Zeitschrift 2 Bulletin of the Australian Mathematical Society 2 Advances in Mathematics 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 Theoretical Computer Science 1 Linear Algebra and its Applications 1 Algebra Colloquium 1 Selecta Mathematica. New Series 1 Representation Theory 1 Acta Mathematica Sinica. English Series 1 Asian-European Journal of Mathematics 1 Science China. Mathematics all top 5 Cited in 15 Fields 89 Associative rings and algebras (16-XX) 45 Nonassociative rings and algebras (17-XX) 6 Commutative algebra (13-XX) 6 Group theory and generalizations (20-XX) 5 Algebraic geometry (14-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-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 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) Citations by Year