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Gille, Philippe

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Author ID: gille.philippe Recent zbMATH articles by "Gille, Philippe"
Published as: Gille, P.; Gille, Ph.; Gille, Philippe
Documents Indexed: 58 Publications since 1981, including 6 Books

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 502 times in 353 Documents Cited by Year
Central simple algebras and Galois cohomology. Zbl 1137.12001
Gille, Philippe; Szamuely, Tamás
158
2006
Arithmetic of linear algebraic groups over 2-dimensional geometric fields. Zbl 1129.11014
Colliot-Thélène, J.-L.; Gille, P.; Parimala, R.
28
2004
Galois cohomology and forms of algebras over Laurent polynomial rings. Zbl 1131.11070
Gille, Philippe; Pianzola, Arturo
23
2007
The \(R\)-equivalence on reductive algebraic groups defined over a global field. Zbl 0943.20044
Gille, Philippe
21
1997
The Kneser-Tits problem. Zbl 1198.20038
Gille, Philippe
20
2009
Isotriviality and étale cohomology of Laurent polynomial rings. Zbl 1132.14042
Gille, Philippe; Pianzola, Arturo
18
2008
Galois cohomology of quasi-split groups over fields of cohomological dimension \(\leqslant 2\). Zbl 1017.11019
Gille, Philippe
16
2001
Rost’s cohomological invariants in positive characteristic. Zbl 0993.20031
Gille, Philippe
15
2000
Arithmetical birational invariants of linear algebraic groups over two-dimensional geometric fields. Zbl 1057.11023
Borovoi, Mikhail; Kunyavskii, Boris; Gille, Philippe
13
2004
Central simple algebras and Galois cohomology. 2nd revised and updated edition. Zbl 1373.19001
Gille, Philippe; Szamuely, Tamás
11
2017
Algebraic actions of arithmetic groups. Zbl 1317.14101
Gille, Philippe; Moret-Bailly, Laurent
11
2013
Torsors over the punctured affine line. Zbl 1279.14059
Chernousov, V.; Gille, P.; Pianzola, A.
11
2012
Resolving \(G\)-torsors by abelian base extensions. Zbl 1157.14311
Chernousov, V.; Gille, P.; Reichstein, Z.
10
2006
Torsors on the affine line. Zbl 1062.14061
Gille, P.
10
2002
Torsors, reductive group schemes and extended affine Lie algebras. Zbl 1354.17017
Gille, Philippe; Pianzola, Arturo
9
2013
Conjugacy theorems for loop reductive group schemes and Lie algebras. Zbl 1377.14011
Chernousov, V.; Gille, P.; Pianzola, A.
8
2014
Algebraic groups with few subgroups. Zbl 1183.20053
Garibaldi, Skip; Gille, Philippe
7
2009
Reduction of structure for torsors over semilocal rings. Zbl 1157.14028
Chernousov, V.; Gille, P.; Reichstein, Z.
7
2008
Isotriviality of torsors over Laurent polynomial rings. Zbl 1107.14035
Gille, Philippe; Pianzola, Arturo
7
2005
Unipotent subgroups of reductive groups in characteristic \(p>0\). Zbl 1013.20040
Gille, Philippe
7
2002
Examples of non-rational varieties of adjoint groups. Zbl 0911.14026
Gille, Philippe
7
1997
On the classification of semisimple group schemes. Zbl 1356.14035
Gille, Philippe
6
2015
Serre’s conjecture. II: A survey. Zbl 1239.11046
Gille, Philippe
6
2010
A lower bound on the essential dimension of a connected linear group. Zbl 1173.11022
Gille, Philippe; Reichstein, Zinovy
6
2009
Type of maximal tori of semisimple groups. Zbl 1193.20057
Gille, P.
6
2004
A classification of torsors over Laurent polynomial rings. Zbl 1362.14022
Chernousov, Vladimir; Gille, Philippe; Pianzola, Arturo
5
2017
Principal bundles over Henselian valued fields. Zbl 1322.14068
Gabber, Ofer; Gille, Philippe; Moret-Bailly, Laurent
5
2014
Remarks on weak approximation over a function field of one variable. Zbl 1201.11066
Colliot-Thélène, Jean-Louis; Gille, Philippe
5
2004
\(R\)- equivalence and norm principle in Galois cohomology. Zbl 0826.12003
Gille, Philippe
5
1993
Specialisation of the \(R\)-equivalence for the reductive groups. Zbl 1067.20063
Gille, Philippe
4
2004
Examples of algebraic groups of type \(G_2\) having the same maximal tori. Zbl 1356.20028
Beli, Constantin; Gille, P.; Lee, Ting-Yu
3
2016
Octonion algebras over rings are not determined by their norms. Zbl 1358.11126
Gille, Philippe
3
2014
Formula for the Rost invariant. Zbl 1262.11050
Gille, Philippe; Quéguiner-Mathieu, Anne
3
2011
The wild fundamental group of an affine group in characteristic \(p>0\). Zbl 0978.14034
Gille, Philippe
3
2000
An arithmetic finiteness theorem on reductive groups. Zbl 0806.20036
Gille, Philippe
3
1993
Isotopes of octonion algebras, \(\mathbf{G}_{2}\)-torsors and triality. Zbl 1452.17031
Alsaody, S.; Gille, P.
2
2019
On maximal tori of algebraic groups of type \(G_2\). Zbl 1356.20029
Beli, Constantin; Gille, Philippe; Lee, Ting-Yu
2
2015
Examples of anisotropic simply connected semi-simple groups containing an unipotent subgroup. Zbl 1284.11067
Gille, Philippe; Quéguiner-Mathieu, Anne
2
2013
Central simple algebras of degree 5 and \(E_8\). Zbl 1021.16008
Gille, Philippe
2
2002
\(R\)-equivalence of \(G\)-coverings over non-Archimedean local fields. Zbl 1078.14531
Gille, Philippe
2
2001
Arithmetic of linear algebraic groups over certain fields of dimension two. Zbl 1037.20050
Colliot-Thélène, Jean-Louis; Gille, Philippe; Parimala, Raman
2
2001
Unipotent elements of semisimple simply connected algebraic groups in characteristic \(p>0\). Zbl 1003.20042
Gille, Philippe
2
1999
Semi-simple algebraic groups in cohomological dimension \(\leq 2\). With a comprehensive introduction in English. Zbl 1428.14001
Gille, Philippe
1
2019
Three-point Lie algebras and Grothendieck’s dessins d’enfants. Zbl 1406.17027
Chernousov, V.; Gille, P.; Pianzola, A.
1
2016
On group schemes. A celebration of SGA3. Lecture notes of the summer school “Group schemes, an introduction to the SGA3 seminar of Demazure-Grothendieck”, CIRM, Luminy, France, August 29 – September 9, 2011. Volume II. Zbl 1339.14001
Edixhoven, Bas (ed.); Gille, Philippe (ed.); Prasad, Gopal (ed.); Polo, Patrick (ed.)
1
2015
A cohomological proof of Peterson-Kac’s theorem on conjugacy of Cartan subalgebras for affine Kac-Moody Lie algebras. Zbl 1345.17016
Chernousov, V.; Gille, P.; Pianzola, A.; Yahorau, U.
1
2014
Zero-cycles on projective varieties and the norm principle. Zbl 1196.14011
Gille, Philippe; Semenov, Nikita
1
2010
An invariant of elements of finite order in semisimple simply connected algebraic groups. Zbl 1006.20038
Gille, Philippe
1
2002
Bruhat-Tits decomposition and Hasse principle. Zbl 0983.12002
Gille, Philippe
1
2000
A basis factorization technique for staircase linear programs. Zbl 0538.90050
Gille, Philippe; Loute, Etienne
1
1981
Isotopes of octonion algebras, \(\mathbf{G}_{2}\)-torsors and triality. Zbl 1452.17031
Alsaody, S.; Gille, P.
2
2019
Semi-simple algebraic groups in cohomological dimension \(\leq 2\). With a comprehensive introduction in English. Zbl 1428.14001
Gille, Philippe
1
2019
Central simple algebras and Galois cohomology. 2nd revised and updated edition. Zbl 1373.19001
Gille, Philippe; Szamuely, Tamás
11
2017
A classification of torsors over Laurent polynomial rings. Zbl 1362.14022
Chernousov, Vladimir; Gille, Philippe; Pianzola, Arturo
5
2017
Examples of algebraic groups of type \(G_2\) having the same maximal tori. Zbl 1356.20028
Beli, Constantin; Gille, P.; Lee, Ting-Yu
3
2016
Three-point Lie algebras and Grothendieck’s dessins d’enfants. Zbl 1406.17027
Chernousov, V.; Gille, P.; Pianzola, A.
1
2016
On the classification of semisimple group schemes. Zbl 1356.14035
Gille, Philippe
6
2015
On maximal tori of algebraic groups of type \(G_2\). Zbl 1356.20029
Beli, Constantin; Gille, Philippe; Lee, Ting-Yu
2
2015
On group schemes. A celebration of SGA3. Lecture notes of the summer school “Group schemes, an introduction to the SGA3 seminar of Demazure-Grothendieck”, CIRM, Luminy, France, August 29 – September 9, 2011. Volume II. Zbl 1339.14001
Edixhoven, Bas (ed.); Gille, Philippe (ed.); Prasad, Gopal (ed.); Polo, Patrick (ed.)
1
2015
Conjugacy theorems for loop reductive group schemes and Lie algebras. Zbl 1377.14011
Chernousov, V.; Gille, P.; Pianzola, A.
8
2014
Principal bundles over Henselian valued fields. Zbl 1322.14068
Gabber, Ofer; Gille, Philippe; Moret-Bailly, Laurent
5
2014
Octonion algebras over rings are not determined by their norms. Zbl 1358.11126
Gille, Philippe
3
2014
A cohomological proof of Peterson-Kac’s theorem on conjugacy of Cartan subalgebras for affine Kac-Moody Lie algebras. Zbl 1345.17016
Chernousov, V.; Gille, P.; Pianzola, A.; Yahorau, U.
1
2014
Algebraic actions of arithmetic groups. Zbl 1317.14101
Gille, Philippe; Moret-Bailly, Laurent
11
2013
Torsors, reductive group schemes and extended affine Lie algebras. Zbl 1354.17017
Gille, Philippe; Pianzola, Arturo
9
2013
Examples of anisotropic simply connected semi-simple groups containing an unipotent subgroup. Zbl 1284.11067
Gille, Philippe; Quéguiner-Mathieu, Anne
2
2013
Torsors over the punctured affine line. Zbl 1279.14059
Chernousov, V.; Gille, P.; Pianzola, A.
11
2012
Formula for the Rost invariant. Zbl 1262.11050
Gille, Philippe; Quéguiner-Mathieu, Anne
3
2011
Serre’s conjecture. II: A survey. Zbl 1239.11046
Gille, Philippe
6
2010
Zero-cycles on projective varieties and the norm principle. Zbl 1196.14011
Gille, Philippe; Semenov, Nikita
1
2010
The Kneser-Tits problem. Zbl 1198.20038
Gille, Philippe
20
2009
Algebraic groups with few subgroups. Zbl 1183.20053
Garibaldi, Skip; Gille, Philippe
7
2009
A lower bound on the essential dimension of a connected linear group. Zbl 1173.11022
Gille, Philippe; Reichstein, Zinovy
6
2009
Isotriviality and étale cohomology of Laurent polynomial rings. Zbl 1132.14042
Gille, Philippe; Pianzola, Arturo
18
2008
Reduction of structure for torsors over semilocal rings. Zbl 1157.14028
Chernousov, V.; Gille, P.; Reichstein, Z.
7
2008
Galois cohomology and forms of algebras over Laurent polynomial rings. Zbl 1131.11070
Gille, Philippe; Pianzola, Arturo
23
2007
Central simple algebras and Galois cohomology. Zbl 1137.12001
Gille, Philippe; Szamuely, Tamás
158
2006
Resolving \(G\)-torsors by abelian base extensions. Zbl 1157.14311
Chernousov, V.; Gille, P.; Reichstein, Z.
10
2006
Isotriviality of torsors over Laurent polynomial rings. Zbl 1107.14035
Gille, Philippe; Pianzola, Arturo
7
2005
Arithmetic of linear algebraic groups over 2-dimensional geometric fields. Zbl 1129.11014
Colliot-Thélène, J.-L.; Gille, P.; Parimala, R.
28
2004
Arithmetical birational invariants of linear algebraic groups over two-dimensional geometric fields. Zbl 1057.11023
Borovoi, Mikhail; Kunyavskii, Boris; Gille, Philippe
13
2004
Type of maximal tori of semisimple groups. Zbl 1193.20057
Gille, P.
6
2004
Remarks on weak approximation over a function field of one variable. Zbl 1201.11066
Colliot-Thélène, Jean-Louis; Gille, Philippe
5
2004
Specialisation of the \(R\)-equivalence for the reductive groups. Zbl 1067.20063
Gille, Philippe
4
2004
Torsors on the affine line. Zbl 1062.14061
Gille, P.
10
2002
Unipotent subgroups of reductive groups in characteristic \(p>0\). Zbl 1013.20040
Gille, Philippe
7
2002
Central simple algebras of degree 5 and \(E_8\). Zbl 1021.16008
Gille, Philippe
2
2002
An invariant of elements of finite order in semisimple simply connected algebraic groups. Zbl 1006.20038
Gille, Philippe
1
2002
Galois cohomology of quasi-split groups over fields of cohomological dimension \(\leqslant 2\). Zbl 1017.11019
Gille, Philippe
16
2001
\(R\)-equivalence of \(G\)-coverings over non-Archimedean local fields. Zbl 1078.14531
Gille, Philippe
2
2001
Arithmetic of linear algebraic groups over certain fields of dimension two. Zbl 1037.20050
Colliot-Thélène, Jean-Louis; Gille, Philippe; Parimala, Raman
2
2001
Rost’s cohomological invariants in positive characteristic. Zbl 0993.20031
Gille, Philippe
15
2000
The wild fundamental group of an affine group in characteristic \(p>0\). Zbl 0978.14034
Gille, Philippe
3
2000
Bruhat-Tits decomposition and Hasse principle. Zbl 0983.12002
Gille, Philippe
1
2000
Unipotent elements of semisimple simply connected algebraic groups in characteristic \(p>0\). Zbl 1003.20042
Gille, Philippe
2
1999
The \(R\)-equivalence on reductive algebraic groups defined over a global field. Zbl 0943.20044
Gille, Philippe
21
1997
Examples of non-rational varieties of adjoint groups. Zbl 0911.14026
Gille, Philippe
7
1997
\(R\)- equivalence and norm principle in Galois cohomology. Zbl 0826.12003
Gille, Philippe
5
1993
An arithmetic finiteness theorem on reductive groups. Zbl 0806.20036
Gille, Philippe
3
1993
A basis factorization technique for staircase linear programs. Zbl 0538.90050
Gille, Philippe; Loute, Etienne
1
1981
all top 5

Cited by 317 Authors

20 Pianzola, Arturo
17 Gille, Philippe
16 Chernousov, Vladimir I.
15 Colliot-Thélène, Jean-Louis
12 Nguyễn Quôc Thăng
11 Rapinchuk, Andrei S.
10 Parimala, Raman
9 Chapman, Adam
9 Garibaldi, Skip
9 Rapinchuk, Igor A.
8 Reichstein, Zinovy B.
7 Becher, Karim Johannes
7 Merkur’ev, Aleksandr Sergeevich
7 Tignol, Jean-Pierre
6 Dolphin, Andrew
6 McKinnie, Kelly
5 Krashen, Daniel
5 Neher, Erhard
5 Panin, Ivan A.
5 Preeti, Raman
5 Quéguiner-Mathieu, Anne
5 Sivatski, Alexander S.
5 Stavrova, Anastasia K.
5 Suresh, Venapally
4 Antieau, Benjamin
4 Bayer-Fluckiger, Eva
4 Bitan, Rony A.
4 Borovoi, Mikhail V.
4 Creutz, Brendan
4 Harari, David
4 Mináč, Ján
4 Nguyêñ Duy Tân
4 Semenov, Nikita
4 Tikohonov, Sergeĭ Viktorovich
4 Yanchevskii, Vyacheslav Ivanovich
3 Auel, Asher Natan
3 Bhaskhar, Nivedita
3 Böhning, Christian
3 Demarche, Cyril
3 Efrat, Ido
3 Graf von Bothmer, Hans-Christian
3 Guralnick, Robert Michael
3 Hassett, Brendan
3 Izquierdo, Diego
3 Kunyavskiĭ, Boris Èmmanuilovich
3 Lötscher, Roland Oskar
3 Petersson, Holger P.
3 Petrov, Viktor
3 Prélat, Daniel
3 Thakur, Maneesh L.
3 Viray, Bianca
3 Yahorau, Uladzimir
2 Alsaody, Seidon
2 Aravire, Roberto
2 Arteche, Giancarlo Lucchini
2 Asok, Aravind
2 Badr, Eslam E.
2 Bars Cortina, Francesc
2 Berhuy, Grégory
2 Bogomolov, Fedor Alekseivich
2 Brussel, Eric S.
2 Chebolu, Sunil K.
2 Douai, Jean-Claude
2 Duncan, Alexander
2 First, Uriya A.
2 Galindo Martínez, César Neyit
2 Garibaldi, Ryan Skip
2 Gonzalez-Avilés, Cristian D.
2 Gordon-Sarney, Reed Leon
2 Grenier-Boley, Nicolas
2 Harbater, David
2 Hartmann, Julia
2 Hazrat, Roozbeh
2 Hooda, Neha
2 Jacob, Bill
2 Javanpeykar, Ariyan
2 Kuttler, Jochen
2 Lee, Ting-Yu
2 Liang, Yongqi
2 Loughran, Daniel
2 MacDonald, Mark L.
2 Matzri, Eliyahu
2 McFaddin, Patrick K.
2 Moret-Bailly, Laurent
2 Ngô Thi Ngoan
2 O’Ryan, Manuel
2 Pappas, Georgios
2 Prasad, Gopal
2 Quadrelli, Claudio
2 Rehmann, Ulf
2 Salehi Golsefidy, Alireza
2 Sepp, Claudia
2 Soman, Abhay
2 Sun, Jie
2 Szigeti, Jenó
2 Tabuada, Gonçalo
2 Topaz, Adam
2 Uchiyama, Tomohiro
2 van der Put, Marius
2 van Hamel, Joost
...and 217 more Authors
all top 5

Cited in 81 Serials

51 Journal of Algebra
23 Transactions of the American Mathematical Society
22 Journal of Pure and Applied Algebra
14 Advances in Mathematics
14 Transformation Groups
11 Journal of Number Theory
10 Journal de Théorie des Nombres de Bordeaux
9 Communications in Algebra
9 Israel Journal of Mathematics
9 Duke Mathematical Journal
9 Manuscripta Mathematica
9 Mathematische Annalen
9 Mathematische Zeitschrift
8 Inventiones Mathematicae
8 Journal of Algebraic Geometry
7 Archiv der Mathematik
7 Compositio Mathematica
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Journal of Mathematical Sciences (New York)
5 Publications Mathématiques
5 Proceedings of the American Mathematical Society
5 Journal of the American Mathematical Society
4 Proceedings of the Japan Academy. Series A
4 Proceedings of the Steklov Institute of Mathematics
4 European Journal of Mathematics
3 Annales de l’Institut Fourier
3 Documenta Mathematica
3 Central European Journal of Mathematics
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Bulletin de la Société Mathématique de France
2 Canadian Mathematical Bulletin
2 Commentarii Mathematici Helvetici
2 Journal für die Reine und Angewandte Mathematik
2 Pacific Journal of Mathematics
2 Proceedings of the London Mathematical Society. Third Series
2 Bulletin of the American Mathematical Society. New Series
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 St. Petersburg Mathematical Journal
2 Advances in Applied Clifford Algebras
2 Algebras and Representation Theory
2 Journal of the Institute of Mathematics of Jussieu
2 Algebra & Number Theory
2 Journal of \(K\)-Theory
2 Bulletin of Mathematical Sciences
2 Forum of Mathematics, Sigma
1 American Mathematical Monthly
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Arkiv för Matematik
1 Acta Arithmetica
1 Illinois Journal of Mathematics
1 The Journal of Symbolic Logic
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Nagoya Mathematical Journal
1 Revista de la Unión Matemática Argentina
1 Transactions of the Moscow Mathematical Society
1 Advances in Applied Mathematics
1 Computers & Operations Research
1 Forum Mathematicum
1 L’Enseignement Mathématique. 2e Série
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Linear Algebra and its Applications
1 Journal of Algebraic Combinatorics
1 Applied Categorical Structures
1 Bulletin des Sciences Mathématiques
1 Izvestiya: Mathematics
1 Vietnam Journal of Mathematics
1 Journal of Group Theory
1 Annals of Mathematics. Second Series
1 Communications in Contemporary Mathematics
1 Algebraic & Geometric Topology
1 Journal of Algebra and its Applications
1 International Journal of Number Theory
1 Journal of Noncommutative Geometry
1 Journal of Homotopy and Related Structures
1 Science China. Mathematics
1 Afrika Matematika
1 Research in the Mathematical Sciences
1 Open Mathematics

Citations by Year