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Author ID: dumas.francois Recent zbMATH articles by "Dumas, François"
Published as: Dumas, François; Dumas, F.

Publications by Year

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 0820.17015
Alev, 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 0862.16019
Alev, 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 0886.16025
Alev, J.; Dumas, F.
23
1997
On the automorphisms of \(U^+_q(\mathfrak{g})\). Zbl 1182.17003
Andruskiewitsch, Nicolás; Dumas, François
14
2008
Automorphisms of certain completions of quantum Weyl skewfields. (Automorphismes de certains complétés du corps de Weyl quantique.) Zbl 0842.16022
Alev, 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 0757.16012
Dumas, François
4
1991
Mixed Weyl fields. (Corps de Weyl mixtes.) Zbl 1006.16019
Alev, J.; Dumas, F.
4
2000
Prime spectrum and automorphisms for \(2\times 2\) Jordanian matrices. Zbl 1014.16040
Dumas, François; Rigal, Laurent
4
2002
The \(2\times 2\) quantum matrix Weyl algebra. Zbl 0851.16025
Dumas, François; Jordan, David A.
3
1996
Poisson structures and star products on quasimodular forms. Zbl 1362.17041
Dumas, François; Royer, Emmanuel
3
2014
On enveloping skew fields of some Lie superalgebras. Zbl 1405.17024
Alev, 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 0603.16003
Dumas, 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 0904.16013
Alev, J.; Dumas, F.
2
1998
Invariant differential operators and the Noether problem. (Opérateurs différentiels invariants et problème de Noether.) Zbl 1102.16015
Alev, Jacques; Dumas, François
2
2006
Hautes dérivations équivalentes, en caractéristique nulle. (Equivalent higher derivations, in characteristic zero). Zbl 0606.16003
Dumas, François
1
1986
Hautes dérivations dans les corps gauches, en caractéristique nulle. (Higher derivations in skew fields of characteristic zero). Zbl 0661.16031
Dumas, François
1
1988
Centre des anneaux de Cohen, en caractéristique nulle. (Center of Cohen’s rings of characteristic zero). Zbl 0667.16001
Dumas, 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 0872.12004
Dumas, 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 0723.16019
Dumas, François; Vidal, Robert
1
1992
Enveloping skewfields of the nilpotent positive part and the Borel subsuperalgebra of \(\mathfrak{osp}(1,2n)\). Zbl 1455.17013
Alev, Jacques; Dumas, François
1
2019
Field generators for the quantum plane. Zbl 1090.16009
Alev, Jacques; Dumas, François
1
2003
Enveloping skewfields of the nilpotent positive part and the Borel subsuperalgebra of \(\mathfrak{osp}(1,2n)\). Zbl 1455.17013
Alev, Jacques; Dumas, François
1
2019
On enveloping skew fields of some Lie superalgebras. Zbl 1405.17024
Alev, Jacques; Dumas, François
3
2016
Poisson structures and star products on quasimodular forms. Zbl 1362.17041
Dumas, François; Royer, Emmanuel
3
2014
On the automorphisms of \(U^+_q(\mathfrak{g})\). Zbl 1182.17003
Andruskiewitsch, Nicolás; Dumas, François
14
2008
Invariant differential operators and the Noether problem. (Opérateurs différentiels invariants et problème de Noether.) Zbl 1102.16015
Alev, Jacques; Dumas, François
2
2006
Field generators for the quantum plane. Zbl 1090.16009
Alev, Jacques; Dumas, François
1
2003
Prime spectrum and automorphisms for \(2\times 2\) Jordanian matrices. Zbl 1014.16040
Dumas, François; Rigal, Laurent
4
2002
Mixed Weyl fields. (Corps de Weyl mixtes.) Zbl 1006.16019
Alev, 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 0904.16013
Alev, 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 0886.16025
Alev, 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 0862.16019
Alev, J.; Dumas, F.
26
1996
The \(2\times 2\) quantum matrix Weyl algebra. Zbl 0851.16025
Dumas, François; Jordan, David A.
3
1996
Automorphisms of certain completions of quantum Weyl skewfields. (Automorphismes de certains complétés du corps de Weyl quantique.) Zbl 0842.16022
Alev, J.; Dumas, F.
5
1995
On the field of fractions of certain quantum algebras. (Sur le corps des fractions de certaines algèbres quantiques.) Zbl 0820.17015
Alev, 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 0723.16019
Dumas, 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 0757.16012
Dumas, 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 0872.12004
Dumas, François
1
1990
Centre des anneaux de Cohen, en caractéristique nulle. (Center of Cohen’s rings of characteristic zero). Zbl 0667.16001
Dumas, François
1
1989
Hautes dérivations dans les corps gauches, en caractéristique nulle. (Higher derivations in skew fields of characteristic zero). Zbl 0661.16031
Dumas, 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 0603.16003
Dumas, François
2
1986
Hautes dérivations équivalentes, en caractéristique nulle. (Equivalent higher derivations, in characteristic zero). Zbl 0606.16003
Dumas, François
1
1986
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

Citations by Year