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Tignol, Jean-Pierre

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Author ID: tignol.jean-pierre Recent zbMATH articles by "Tignol, Jean-Pierre"
Published as: Tignol, J. P.; Tignol, J.-P.; Tignol, Jean-Pierre
External Links: MGP · Wikidata
Documents Indexed: 121 Publications since 1976, including 10 Books
Reviewing Activity: 114 Reviews
all top 5

Serials

11 Journal of Algebra
6 Israel Journal of Mathematics
6 Mathematische Zeitschrift
5 Documenta Mathematica
4 Journal of Pure and Applied Algebra
3 Archiv der Mathematik
3 Pacific Journal of Mathematics
3 Proceedings of the American Mathematical Society
3 Transactions of the American Mathematical Society
3 Rapport. Séminaire de Mathématique. Nouvelle Série
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Oberwolfach Reports
2 Communications in Algebra
2 Advances in Mathematics
2 Journal für die Reine und Angewandte Mathematik
2 Manuscripta Mathematica
2 Mathematische Annalen
2 Bulletin de la Société Matheḿatique de Belgique. Série B
2 L’Enseignement Mathématique. 2e Série
2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
2 Pure and Applied Mathematics Quarterly
1 American Journal of Mathematics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Canadian Journal of Mathematics
1 Commentarii Mathematici Helvetici
1 Glasgow Mathematical Journal
1 Publications Mathématiques
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Number Theory
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Journal of the Ramanujan Mathematical Society
1 Annales de la Société Scientifique de Bruxelles. Série I
1 Bulletin of the American Mathematical Society. New Series
1 Bulletin de la Société Mathématique de Belgique. Série A
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
1 Journal de Théorie des Nombres de Bordeaux
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 St. Petersburg Mathematical Journal
1 Publications Mathématiques de la Faculté des Sciences de Besançon. Théorie des Nombres
1 Transformation Groups
1 Algebras and Representation Theory
1 LMS Journal of Computation and Mathematics
1 Advances in Geometry
1 Bulletin de la Société Mathématique de Belgique
1 Colloquium Publications. American Mathematical Society
1 Lecture Notes in Mathematics
1 Lecture Notes in Pure and Applied Mathematics
1 Journal of \(K\)-Theory
1 Annals of \(K\)-Theory
1 Springer Monographs in Mathematics

Publications by Year

Citations contained in zbMATH

98 Publications have been cited 1,099 times in 666 Documents Cited by Year
The book of involutions. With a preface by J. Tits. Zbl 0955.16001
Knus, Max-Albert; Merkurjev, Alexander; Rost, Markus; Tignol, Jean-Pierre
343
1998
Division algebras of degree 4 and 8 with involution. Zbl 0422.16010
Amitsur, S. A.; Rowen, L. H.; Tignol, J. P.
55
1979
Totally ramified valuations on finite-dimensional division algebras. Zbl 0626.16005
Tignol, J.-P.; Wadsworth, A. R.
36
1987
Hyperbolic involutions. Zbl 0796.16029
Bayer-Fluckiger, E.; Shapiro, Daniel B.; Tignol, J.-P.
33
1993
Indecomposable algebras of prime exponent. Zbl 0642.16015
Tignol, J.-P.
30
1987
Witt rings and Brauer groups under multiquadratic extensions. I. Zbl 0492.10014
Elman, Richard; Lam, T. Y.; Tignol, J.-P.; Wadsaworth, Adrian R.
28
1983
The multipliers of similitudes and the Brauer group of homogeneous varieties. Zbl 0819.16015
Merkurjev, A. S.; Tignol, J.-P.
26
1995
Biquaternion algebras and quartic extensions. Zbl 0801.11048
Lam, Tsit Yuen; Leep, David B.; Tignol, Jean-Pierre
26
1993
Value functions on simple algebras, and associated graded rings. Zbl 1357.16002
Tignol, Jean-Pierre; Wadsworth, Adrian R.
23
2015
Algebras of odd degree with involution, trace forms and dihedral extensions. Zbl 0871.16017
Haile, Darell E.; Knus, Max-Albert; Rost, Markus; Tignol, Jean-Pierre
19
1996
Fields of characteristic 2 with prescribed u-invariants. Zbl 0713.12002
Mammone, P.; Tignol, J.-P.; Wadsworth, A.
19
1991
Value functions and associated graded rings for semisimple algebras. Zbl 1195.16043
Tignol, J.-P.; Wadsworth, A. R.
18
2010
Kummer subfields of Malcev-Neumann division algebras. Zbl 0564.16015
Tignol, J.-P.; Amitsur, S. A.
17
1985
Produits croises Abeliens. Zbl 0473.16004
Tignol, Jean-Pierre
16
1981
Sur les classes de similitude de corps à involution de degré 8. Zbl 0374.16006
Tignol, Jean-Pierre
15
1978
Galois cohomology of the classical groups over imperfect fields. Zbl 1121.11035
Berhuy, Grégory; Frings, Christoph; Tignol, Jean-Pierre
14
2007
Galois’ theory of algebraic equations. Zbl 0972.12001
Tignol, Jean-Pierre
14
2001
Reduction of the index of a central simple algebra over the function field of a quadric. Zbl 0736.12002
Tignol, Jean-Pierre
14
1990
Cyclic and elementary abelian subfields of Malcev-Neumann division algebras. Zbl 0602.16020
Tignol, J.-P.
13
1986
A Cassels-Pfister theorem for involutions on central simple algebras. Zbl 0847.16019
Tignol, J.-P.
12
1996
Discriminants of involutions on biquaternion algebras. Zbl 0828.11023
Knus, M.-A.; Lam, T. Y.; Shapiro, D. B.; Tignol, J.-P.
12
1995
On the corestriction of central simple algebras. Zbl 0595.16012
Tignol, Jean-Pierre
12
1987
Corps à involution neutralises par une extension Abelienne élémentaire. Zbl 0471.16015
Tignol, J.-P.
12
1981
Discriminant of symplectic involutions. Zbl 1183.11020
Garibaldi, Skip; Parimala, R.; Tignol, Jean-Pierre
11
2009
Witt rings and Brauer groups under multiquadratic extensions. II. Zbl 0492.10015
Shapiro, Daniel B.; Tignol, Jean-Pierre; Wadsworth, Adrian R.
11
1982
The trace form of a central simple algebra of degree 4. Zbl 1110.16014
Rost, Markus; Serre, Jean-Pierre; Tignol, Jean-Pierre
10
2006
Classification theorems for central simple algebras with involution (with an appendix by R. Parimala). Zbl 0953.11011
Lewis, D. W.; Tignol, J.-P.
10
1999
Square class groups and Witt rings of central simple algebras. Zbl 0766.11024
Lewis, D. W.; Tignol, J.-P.
10
1993
Cyclicity conditions for division algebras of prime degree. Zbl 1044.16013
Mahdavi-Hezavehi, M.; Tignol, J.-P.
8
2003
On the signature of an involution. Zbl 0739.11015
Lewis, David W.; Tignol, Jean-Pierre
8
1993
Algèbres à division et extensions de corps sauvagement ramifiées de degré premier. (Division algebras and wildly ramified extensions of prime degree of fields). Zbl 0684.16011
Tignol, J.-P.
8
1990
On the length of decompositions of central simple algebras in tensor products of symbols. Zbl 0558.16010
Tignol, J.-P.
8
1984
Invariants of quasitrivial tori and the Rost invariant. Zbl 1041.11023
Merkurjev, A. S.; Parimala, R.; Tignol, J.-P.
7
2003
The level of division algebras over local and global fields. Zbl 0698.12013
Leep, D. B.; Tignol, J.-P.; Vast, N.
7
1989
Totally ramified splitting fields of central simple algebras over Henselian fields. Zbl 0588.16011
Tignol, J.-P.; Amitsur, S. A.
7
1986
Sur les décompositions des algèbres à division en produit tensoriel d’algèbres cycliques. Zbl 0485.16012
Tignol, J.-P.
7
1982
On the quaternion \(\ell\)-isogeny path problem. Zbl 1296.11153
Kohel, David; Lauter, Kristin; Petit, Christophe; Tignol, Jean-Pierre
6
2014
Division algebras over rational function fields in one variable. Zbl 1089.16015
Rowen, L. H.; Sivatski, A. S.; Tignol, J.-P.
6
2005
The discriminant of a decomposable symplectic involution. Zbl 1048.16007
Serhir, Ahmed; Tignol, Jean-Pierre
6
2004
Discriminant and Clifford algebras. Zbl 1009.16021
Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre
6
2002
Classification of quadratic forms over skew fields of characteristic 2. Zbl 0986.11026
Elomary, Mohamed Abdou; Tignol, Jean-Pierre
6
2001
Algebras with involution that become hyperbolic under a given extension. Zbl 0897.16018
Haile, Darrell; Tignol, Jean-Pierre
6
1998
Discriminants of involutions on Henselian division algebras. Zbl 0826.16013
Chacron, M.; Dherte, H.; Tignol, J.-P.; Wadsworth, A. R.; Yanchevskij, V. I.
6
1995
Sur les anneaux simples différentiels. Zbl 0498.16029
Leroy, A.; Tignol, J.-P.; van Praag, Paul
6
1982
Valuations on algebras with involution. Zbl 1234.16027
Tignol, J.-P.; Wadsworth, A. R.
5
2011
Algebras with involution that become hyperbolic over the function field of a conic. Zbl 1214.16033
Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre
5
2010
Cohomological invariants and \(R\)-triviality of adjoint classical groups. Zbl 1177.11035
Berhuy, Grégory; Monsurrò, Marina; Tignol, Jean-Pierre
5
2004
The discriminant of a symplectic involution. Zbl 1057.16012
Berhuy, Grégory; Monsurrò, Marina; Tignol, Jean-Pierre
5
2003
Witt equivalence of central simple algebras with involution. Zbl 0957.16013
Dejaiffe, I.; Lewis, D. W.; Tignol, J.-P.
5
2000
On 14-dimensional quadratic forms in \(I^3\), 8-dimensional forms in \(I^2\), and the common value property. Zbl 0914.11014
Hoffmann, Detlef W.; Tignol, Jean-Pierre
5
1998
Galois cohomology of biquadratic extensions. Zbl 0781.12005
Merkurjev, A. S.; Tignol, J.-P.
5
1993
Représentation de -1 comme somme de carrés dans certaines algèbres de quaternions. (Representation of -1 as a sum of squares in certain quaternion algebras). Zbl 0626.10020
Tignol, Jean-Pierre; Vast, Nicole
5
1987
Dihedral algebras are cyclic. Zbl 0624.16008
Mammone, Pascal; Tignol, Jean-Pierre
5
1987
Symplectic modules. Zbl 0599.20086
Tignol, J. P.; Amitsur, S. A.
5
1986
The asymmetry of an anti-automorphism. Zbl 0988.11016
Cortella, Anne; Tignol, Jean-Pierre
4
2002
Classification of wild cyclic field extensions and division algebras of prime degree over a Henselian field. Zbl 0795.16013
Tignol, J.-P.
4
1992
Cyclic algebras of small exponent. Zbl 0558.16008
Tignol, J.-P.
4
1983
Central simple algebras with involution. Zbl 0426.16019
Tignol, J.-P.
4
1979
The Arason invariant of orthogonal involutions of degree 12 and 8, and quaternionic subgroups of the Brauer group. Zbl 1358.11058
Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre
3
2015
The Kneser-Tits conjecture for groups with Tits-index E\(_{8,2}^{66}\) over an arbitrary field. Zbl 1251.20045
Parimala, R.; Tignol, J.-P.; Weiss, R. M.
3
2012
Quadratic forms of dimension 8 with trivial discriminant and Clifford algebra of index 4. Zbl 1207.11043
Masquelein, Alexandre; Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre
3
2009
On chains in division algebras of degree 3. Zbl 1178.16015
Haile, Darrell; Kuo, Jung-Miao; Tignol, Jean-Pierre
3
2009
Décomposition et descente de produits tensoriels d’algèbres de quaternions. Zbl 0444.16010
Tignol, Jean-Pierre
3
1978
Outer automorphisms of classical algebraic groups. Zbl 06873712
Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre
2
2018
Involutions and stable subalgebras. Zbl 1377.16011
Becher, Karim Johannes; Grenier-Boley, Nicolas; Tignol, Jean-Pierre
2
2018
Triality and algebraic groups of type \(^3\mathsf D_4\). Zbl 1365.20048
Knus, Max-Albert; Tignol, Jean-Pierre
2
2015
Conjugacy classes of trialitarian automorphisms and symmetric compositions. Zbl 1279.20061
Chernousov, V.; Knus, M.-A.; Tignol, J.-P.
2
2012
Springer’s theorem for tame quadratic forms over Henselian fields. Zbl 1270.11039
Elomary, M. A.; Tignol, J.-P.
2
2011
Cohomological invariants of central simple algebras with involution. Zbl 1260.11030
Tignol, Jean-Pierre
2
2010
The second trace form of a central simple algebra of degree 4 of characteristic 2. Zbl 1110.16015
Tignol, Jean-Pierre
2
2006
Quartic exercises. Zbl 1120.12003
Knus, Max-Albert; Tignol, Jean-Pierre
2
2003
Generic algebras with involution of degree \(8m\). Zbl 1057.16014
Saltman, David J.; Tignol, Jean-Pierre
2
2002
Tractable fields. Zbl 0948.12001
Chacron, M.; Tignol, J.-P.; Wadsworth, A. R.
2
1999
Galois cohomology of special orthogonal groups. Zbl 1055.11512
Garibaldi, Ryan; Tignol, Jean-Pierre; Wadsworth, Adrian R.
2
1997
On the decomposition of cyclic algebras. Zbl 0883.16010
Rowen, L. H.; Tignol, J.-P.
2
1996
Galois’ theory of algebraic equations. Written, transl. (from the French) and revised by Jean-Pierre Tignol. Ed. by T. S. Blyth. Zbl 0663.12020
Tignol, Jean-Pierre
2
1988
Clifford division algebras and anisotropic quadratic forms: Two counterexamples. Zbl 0597.16018
Mammone, P.; Tignol, J. P.
2
1986
Remarque sur le groupe des automorphismes d’un arbre. Zbl 0435.20003
Tignol, Jean-Pierre
2
1979
Sur les corps à involution de degré 8. Zbl 0359.16007
Tignol, Jean-Pierre
2
1977
Orthogonal involutions on central simple algebras and function fields of Severi-Brauer varieties. Zbl 06946142
Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre
1
2018
Transfer of quadratic forms and of quaternion algebras over quadratic field extensions. Zbl 1403.11032
Becher, Karim Johannes; Grenier-Boley, Nicolas; Tignol, Jean-Pierre
1
2018
Tori associated to a quartic étale algebra. Zbl 1426.11037
Tignol, Jean-Pierre
1
2017
Cohomological invariants for orthogonal involutions on degree 8 algebras. Zbl 1262.11051
Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre
1
2012
Triality and étale algebras. Zbl 1219.13004
Knus, Max-Albert; Tignol, Jean-Pierre
1
2010
On the Pfister number of quadratic forms. Zbl 1208.11055
Parimala, R.; Suresh, V.; Tignol, J.-P.
1
2009
Ternary cubic forms and étale algebras. Zbl 1251.12004
Raczek, Mélanie; Tignol, Jean-Pierre
1
2009
Division algebras with an anti-automorphism but with no involution. Zbl 1111.16019
Morandi, P. J.; Sethuraman, B. A.; Tignol, J.-P.
1
2005
Multipliers of improper similitudes. Zbl 1160.11321
Preeti, R.; Tignol, J.-P.
1
2004
Quadratic pairs on biquaternion algebras. Zbl 0978.16018
Tignol, Jean-Pierre
1
2000
Algebra and number theory. Proceedings of a conference, Fez, Morocco. Zbl 0928.00029
Boulagouaz, M’hammed (ed.); Tignol, Jean-Pierre (ed.)
1
2000
Algebras with involution and classical groups. Zbl 0910.16008
Tignol, Jean-Pierre
1
1998
The norm of quadratic spaces and the trace form of central simple algebras. Zbl 0909.11014
Tignol, J.-P.
1
1994
A Cassels-Pfister theorem for involutions on central simple algebras. Zbl 0864.11016
Tignol, J.-P.
1
1994
The level of cyclic division algebras. Zbl 0724.12004
Denert, Marleen; Tignol, Jean-Pierre; Van Geel, Jan; Vast, Nicole
1
1990
Metacyclic division algebras of degree five. Zbl 0691.16029
Tignol, J.-P.
1
1989
Lecons sur la théorie des équations. Zbl 0509.12022
Tignol, Jean-Pierre
1
1980
Division algebras of degree 4 and 8 with involution. Zbl 0415.16017
Amitsur, S. A.; Rowen, L. H.; Tignol, J. P.
1
1979
Les corps universels d’Amitsur. Zbl 0428.12016
Tignol, Jean-Pierre
1
1976
Outer automorphisms of classical algebraic groups. Zbl 06873712
Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre
2
2018
Involutions and stable subalgebras. Zbl 1377.16011
Becher, Karim Johannes; Grenier-Boley, Nicolas; Tignol, Jean-Pierre
2
2018
Orthogonal involutions on central simple algebras and function fields of Severi-Brauer varieties. Zbl 06946142
Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre
1
2018
Transfer of quadratic forms and of quaternion algebras over quadratic field extensions. Zbl 1403.11032
Becher, Karim Johannes; Grenier-Boley, Nicolas; Tignol, Jean-Pierre
1
2018
Tori associated to a quartic étale algebra. Zbl 1426.11037
Tignol, Jean-Pierre
1
2017
Value functions on simple algebras, and associated graded rings. Zbl 1357.16002
Tignol, Jean-Pierre; Wadsworth, Adrian R.
23
2015
The Arason invariant of orthogonal involutions of degree 12 and 8, and quaternionic subgroups of the Brauer group. Zbl 1358.11058
Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre
3
2015
Triality and algebraic groups of type \(^3\mathsf D_4\). Zbl 1365.20048
Knus, Max-Albert; Tignol, Jean-Pierre
2
2015
On the quaternion \(\ell\)-isogeny path problem. Zbl 1296.11153
Kohel, David; Lauter, Kristin; Petit, Christophe; Tignol, Jean-Pierre
6
2014
The Kneser-Tits conjecture for groups with Tits-index E\(_{8,2}^{66}\) over an arbitrary field. Zbl 1251.20045
Parimala, R.; Tignol, J.-P.; Weiss, R. M.
3
2012
Conjugacy classes of trialitarian automorphisms and symmetric compositions. Zbl 1279.20061
Chernousov, V.; Knus, M.-A.; Tignol, J.-P.
2
2012
Cohomological invariants for orthogonal involutions on degree 8 algebras. Zbl 1262.11051
Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre
1
2012
Valuations on algebras with involution. Zbl 1234.16027
Tignol, J.-P.; Wadsworth, A. R.
5
2011
Springer’s theorem for tame quadratic forms over Henselian fields. Zbl 1270.11039
Elomary, M. A.; Tignol, J.-P.
2
2011
Value functions and associated graded rings for semisimple algebras. Zbl 1195.16043
Tignol, J.-P.; Wadsworth, A. R.
18
2010
Algebras with involution that become hyperbolic over the function field of a conic. Zbl 1214.16033
Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre
5
2010
Cohomological invariants of central simple algebras with involution. Zbl 1260.11030
Tignol, Jean-Pierre
2
2010
Triality and étale algebras. Zbl 1219.13004
Knus, Max-Albert; Tignol, Jean-Pierre
1
2010
Discriminant of symplectic involutions. Zbl 1183.11020
Garibaldi, Skip; Parimala, R.; Tignol, Jean-Pierre
11
2009
Quadratic forms of dimension 8 with trivial discriminant and Clifford algebra of index 4. Zbl 1207.11043
Masquelein, Alexandre; Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre
3
2009
On chains in division algebras of degree 3. Zbl 1178.16015
Haile, Darrell; Kuo, Jung-Miao; Tignol, Jean-Pierre
3
2009
On the Pfister number of quadratic forms. Zbl 1208.11055
Parimala, R.; Suresh, V.; Tignol, J.-P.
1
2009
Ternary cubic forms and étale algebras. Zbl 1251.12004
Raczek, Mélanie; Tignol, Jean-Pierre
1
2009
Galois cohomology of the classical groups over imperfect fields. Zbl 1121.11035
Berhuy, Grégory; Frings, Christoph; Tignol, Jean-Pierre
14
2007
The trace form of a central simple algebra of degree 4. Zbl 1110.16014
Rost, Markus; Serre, Jean-Pierre; Tignol, Jean-Pierre
10
2006
The second trace form of a central simple algebra of degree 4 of characteristic 2. Zbl 1110.16015
Tignol, Jean-Pierre
2
2006
Division algebras over rational function fields in one variable. Zbl 1089.16015
Rowen, L. H.; Sivatski, A. S.; Tignol, J.-P.
6
2005
Division algebras with an anti-automorphism but with no involution. Zbl 1111.16019
Morandi, P. J.; Sethuraman, B. A.; Tignol, J.-P.
1
2005
The discriminant of a decomposable symplectic involution. Zbl 1048.16007
Serhir, Ahmed; Tignol, Jean-Pierre
6
2004
Cohomological invariants and \(R\)-triviality of adjoint classical groups. Zbl 1177.11035
Berhuy, Grégory; Monsurrò, Marina; Tignol, Jean-Pierre
5
2004
Multipliers of improper similitudes. Zbl 1160.11321
Preeti, R.; Tignol, J.-P.
1
2004
Cyclicity conditions for division algebras of prime degree. Zbl 1044.16013
Mahdavi-Hezavehi, M.; Tignol, J.-P.
8
2003
Invariants of quasitrivial tori and the Rost invariant. Zbl 1041.11023
Merkurjev, A. S.; Parimala, R.; Tignol, J.-P.
7
2003
The discriminant of a symplectic involution. Zbl 1057.16012
Berhuy, Grégory; Monsurrò, Marina; Tignol, Jean-Pierre
5
2003
Quartic exercises. Zbl 1120.12003
Knus, Max-Albert; Tignol, Jean-Pierre
2
2003
Discriminant and Clifford algebras. Zbl 1009.16021
Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre
6
2002
The asymmetry of an anti-automorphism. Zbl 0988.11016
Cortella, Anne; Tignol, Jean-Pierre
4
2002
Generic algebras with involution of degree \(8m\). Zbl 1057.16014
Saltman, David J.; Tignol, Jean-Pierre
2
2002
Galois’ theory of algebraic equations. Zbl 0972.12001
Tignol, Jean-Pierre
14
2001
Classification of quadratic forms over skew fields of characteristic 2. Zbl 0986.11026
Elomary, Mohamed Abdou; Tignol, Jean-Pierre
6
2001
Witt equivalence of central simple algebras with involution. Zbl 0957.16013
Dejaiffe, I.; Lewis, D. W.; Tignol, J.-P.
5
2000
Quadratic pairs on biquaternion algebras. Zbl 0978.16018
Tignol, Jean-Pierre
1
2000
Algebra and number theory. Proceedings of a conference, Fez, Morocco. Zbl 0928.00029
Boulagouaz, M’hammed (ed.); Tignol, Jean-Pierre (ed.)
1
2000
Classification theorems for central simple algebras with involution (with an appendix by R. Parimala). Zbl 0953.11011
Lewis, D. W.; Tignol, J.-P.
10
1999
Tractable fields. Zbl 0948.12001
Chacron, M.; Tignol, J.-P.; Wadsworth, A. R.
2
1999
The book of involutions. With a preface by J. Tits. Zbl 0955.16001
Knus, Max-Albert; Merkurjev, Alexander; Rost, Markus; Tignol, Jean-Pierre
343
1998
Algebras with involution that become hyperbolic under a given extension. Zbl 0897.16018
Haile, Darrell; Tignol, Jean-Pierre
6
1998
On 14-dimensional quadratic forms in \(I^3\), 8-dimensional forms in \(I^2\), and the common value property. Zbl 0914.11014
Hoffmann, Detlef W.; Tignol, Jean-Pierre
5
1998
Algebras with involution and classical groups. Zbl 0910.16008
Tignol, Jean-Pierre
1
1998
Galois cohomology of special orthogonal groups. Zbl 1055.11512
Garibaldi, Ryan; Tignol, Jean-Pierre; Wadsworth, Adrian R.
2
1997
Algebras of odd degree with involution, trace forms and dihedral extensions. Zbl 0871.16017
Haile, Darell E.; Knus, Max-Albert; Rost, Markus; Tignol, Jean-Pierre
19
1996
A Cassels-Pfister theorem for involutions on central simple algebras. Zbl 0847.16019
Tignol, J.-P.
12
1996
On the decomposition of cyclic algebras. Zbl 0883.16010
Rowen, L. H.; Tignol, J.-P.
2
1996
The multipliers of similitudes and the Brauer group of homogeneous varieties. Zbl 0819.16015
Merkurjev, A. S.; Tignol, J.-P.
26
1995
Discriminants of involutions on biquaternion algebras. Zbl 0828.11023
Knus, M.-A.; Lam, T. Y.; Shapiro, D. B.; Tignol, J.-P.
12
1995
Discriminants of involutions on Henselian division algebras. Zbl 0826.16013
Chacron, M.; Dherte, H.; Tignol, J.-P.; Wadsworth, A. R.; Yanchevskij, V. I.
6
1995
The norm of quadratic spaces and the trace form of central simple algebras. Zbl 0909.11014
Tignol, J.-P.
1
1994
A Cassels-Pfister theorem for involutions on central simple algebras. Zbl 0864.11016
Tignol, J.-P.
1
1994
Hyperbolic involutions. Zbl 0796.16029
Bayer-Fluckiger, E.; Shapiro, Daniel B.; Tignol, J.-P.
33
1993
Biquaternion algebras and quartic extensions. Zbl 0801.11048
Lam, Tsit Yuen; Leep, David B.; Tignol, Jean-Pierre
26
1993
Square class groups and Witt rings of central simple algebras. Zbl 0766.11024
Lewis, D. W.; Tignol, J.-P.
10
1993
On the signature of an involution. Zbl 0739.11015
Lewis, David W.; Tignol, Jean-Pierre
8
1993
Galois cohomology of biquadratic extensions. Zbl 0781.12005
Merkurjev, A. S.; Tignol, J.-P.
5
1993
Classification of wild cyclic field extensions and division algebras of prime degree over a Henselian field. Zbl 0795.16013
Tignol, J.-P.
4
1992
Fields of characteristic 2 with prescribed u-invariants. Zbl 0713.12002
Mammone, P.; Tignol, J.-P.; Wadsworth, A.
19
1991
Reduction of the index of a central simple algebra over the function field of a quadric. Zbl 0736.12002
Tignol, Jean-Pierre
14
1990
Algèbres à division et extensions de corps sauvagement ramifiées de degré premier. (Division algebras and wildly ramified extensions of prime degree of fields). Zbl 0684.16011
Tignol, J.-P.
8
1990
The level of cyclic division algebras. Zbl 0724.12004
Denert, Marleen; Tignol, Jean-Pierre; Van Geel, Jan; Vast, Nicole
1
1990
The level of division algebras over local and global fields. Zbl 0698.12013
Leep, D. B.; Tignol, J.-P.; Vast, N.
7
1989
Metacyclic division algebras of degree five. Zbl 0691.16029
Tignol, J.-P.
1
1989
Galois’ theory of algebraic equations. Written, transl. (from the French) and revised by Jean-Pierre Tignol. Ed. by T. S. Blyth. Zbl 0663.12020
Tignol, Jean-Pierre
2
1988
Totally ramified valuations on finite-dimensional division algebras. Zbl 0626.16005
Tignol, J.-P.; Wadsworth, A. R.
36
1987
Indecomposable algebras of prime exponent. Zbl 0642.16015
Tignol, J.-P.
30
1987
On the corestriction of central simple algebras. Zbl 0595.16012
Tignol, Jean-Pierre
12
1987
Représentation de -1 comme somme de carrés dans certaines algèbres de quaternions. (Representation of -1 as a sum of squares in certain quaternion algebras). Zbl 0626.10020
Tignol, Jean-Pierre; Vast, Nicole
5
1987
Dihedral algebras are cyclic. Zbl 0624.16008
Mammone, Pascal; Tignol, Jean-Pierre
5
1987
Cyclic and elementary abelian subfields of Malcev-Neumann division algebras. Zbl 0602.16020
Tignol, J.-P.
13
1986
Totally ramified splitting fields of central simple algebras over Henselian fields. Zbl 0588.16011
Tignol, J.-P.; Amitsur, S. A.
7
1986
Symplectic modules. Zbl 0599.20086
Tignol, J. P.; Amitsur, S. A.
5
1986
Clifford division algebras and anisotropic quadratic forms: Two counterexamples. Zbl 0597.16018
Mammone, P.; Tignol, J. P.
2
1986
Kummer subfields of Malcev-Neumann division algebras. Zbl 0564.16015
Tignol, J.-P.; Amitsur, S. A.
17
1985
On the length of decompositions of central simple algebras in tensor products of symbols. Zbl 0558.16010
Tignol, J.-P.
8
1984
Witt rings and Brauer groups under multiquadratic extensions. I. Zbl 0492.10014
Elman, Richard; Lam, T. Y.; Tignol, J.-P.; Wadsaworth, Adrian R.
28
1983
Cyclic algebras of small exponent. Zbl 0558.16008
Tignol, J.-P.
4
1983
Witt rings and Brauer groups under multiquadratic extensions. II. Zbl 0492.10015
Shapiro, Daniel B.; Tignol, Jean-Pierre; Wadsworth, Adrian R.
11
1982
Sur les décompositions des algèbres à division en produit tensoriel d’algèbres cycliques. Zbl 0485.16012
Tignol, J.-P.
7
1982
Sur les anneaux simples différentiels. Zbl 0498.16029
Leroy, A.; Tignol, J.-P.; van Praag, Paul
6
1982
Produits croises Abeliens. Zbl 0473.16004
Tignol, Jean-Pierre
16
1981
Corps à involution neutralises par une extension Abelienne élémentaire. Zbl 0471.16015
Tignol, J.-P.
12
1981
Lecons sur la théorie des équations. Zbl 0509.12022
Tignol, Jean-Pierre
1
1980
Division algebras of degree 4 and 8 with involution. Zbl 0422.16010
Amitsur, S. A.; Rowen, L. H.; Tignol, J. P.
55
1979
Central simple algebras with involution. Zbl 0426.16019
Tignol, J.-P.
4
1979
Remarque sur le groupe des automorphismes d’un arbre. Zbl 0435.20003
Tignol, Jean-Pierre
2
1979
Division algebras of degree 4 and 8 with involution. Zbl 0415.16017
Amitsur, S. A.; Rowen, L. H.; Tignol, J. P.
1
1979
Sur les classes de similitude de corps à involution de degré 8. Zbl 0374.16006
Tignol, Jean-Pierre
15
1978
Décomposition et descente de produits tensoriels d’algèbres de quaternions. Zbl 0444.16010
Tignol, Jean-Pierre
3
1978
Sur les corps à involution de degré 8. Zbl 0359.16007
Tignol, Jean-Pierre
2
1977
Les corps universels d’Amitsur. Zbl 0428.12016
Tignol, Jean-Pierre
1
1976
all top 5

Cited by 460 Authors

44 Tignol, Jean-Pierre
25 Wadsworth, Adrian R.
24 Merkur’ev, Aleksandr Sergeevich
21 Elduque, Alberto
15 Chapman, Adam
15 Garibaldi, Skip
15 Karpenko, Nikita Aleksandrovich
15 Parimala, Raman
14 Dolphin, Andrew
14 Rowen, Louis Halle
13 Laghribi, Ahmed
13 Nokhodkar, Amir Hossein
13 Quéguiner-Mathieu, Anne
12 Sivatski, Alexander S.
11 Becher, Karim Johannes
11 Mahmoudi, Mohammad Gholamzadeh
11 Pumplün, Susanne
11 Unger, Thomas P.
10 Jacob, Bill
10 Reichstein, Zinovy B.
9 Baek, Sanghoon
9 Lewis, David W.
8 Bayer-Fluckiger, Eva
8 Berhuy, Grégory
8 Mahdavi-Hezavehi, M.
8 Petersson, Holger P.
7 Astier, Vincent
7 Brussel, Eric S.
7 First, Uriya A.
7 Leep, David B.
7 McKinnie, Kelly
7 Petrov, Viktor
7 Sivatsky, A. S.
7 Thakur, Maneesh L.
7 Vishne, Uzi
6 Barry, Demba
6 Chernousov, Vladimir I.
6 Hazrat, Roozbeh
6 Krashen, Daniel
6 Matzri, Eliyahu
6 McNinch, George J.
6 Motiee, Mehran
6 Mounirh, Karim
6 Preeti, Raman
6 Semenov, Nikita
5 Amitsur, Shimshon Avraham
5 Aravire, Roberto
5 Chacron, Maurice J.
5 De Medts, Tom
5 Gille, Philippe
5 Haile, Darrell E.
5 Hoffmann, Detlev W.
5 Kahn, Bruno
5 Knus, Max-Albert
5 Kochetov, Mikhail Viktorovich
5 Kuo, Jung-Miao
5 Mammone, Pasquale
5 Morandi, Patrick J.
5 Saltman, David J.
5 Suresh, Venapally
5 Van Geel, Jan
4 Colliot-Thélène, Jean-Louis
4 Garibaldi, Ryan Skip
4 Guralnick, Robert Michael
4 Martín González, Cándido
4 Pianzola, Arturo
4 Vonessen, Nikolaus
4 Yanchevskii, Vyacheslav Ivanovich
3 André, Carlos A. M.
3 Auel, Asher Natan
3 Bhaskhar, Nivedita
3 Black, Jodi
3 Chipchakov, Ivan D.
3 Cimprič, Jaka
3 Cortella, Anne
3 Cuenca Mira, José Antonio
3 Draper, Cristina
3 Galbraith, Steven D.
3 Grenier-Boley, Nicolas
3 Han, Ilseop
3 Hooda, Neha
3 Kang, Ming-Chang
3 Khanduja, Sudesh K.
3 Kiani, Dariush
3 Leroy, André Gérard
3 Okubo, Susumu
3 Sarussi, Shai
3 Serre, Jean-Pierre
3 Sethuraman, B. A.
3 Soman, Abhay
3 Sridharan, Ramaiyengar
3 Stavrova, Anastasia K.
3 Tengan, Eduardo
3 Tkachev, Vladimir G.
3 Villa, Oliver
3 Wu, Zhengyao
2 Alsaody, Seidon
2 Arason, Jón Kristinn
2 Bermudez, Hernando
2 Boelaert, Lien
...and 360 more Authors
all top 5

Cited in 119 Serials

155 Journal of Algebra
57 Communications in Algebra
43 Journal of Pure and Applied Algebra
40 Israel Journal of Mathematics
28 Transactions of the American Mathematical Society
22 Proceedings of the American Mathematical Society
21 Manuscripta Mathematica
20 Mathematische Zeitschrift
15 Transformation Groups
14 Advances in Mathematics
11 Journal of Algebra and its Applications
10 Duke Mathematical Journal
9 Archiv der Mathematik
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Journal of Number Theory
8 Linear Algebra and its Applications
7 Indagationes Mathematicae. New Series
6 Mathematische Annalen
6 St. Petersburg Mathematical Journal
6 Documenta Mathematica
5 \(K\)-Theory
5 Bulletin of the American Mathematical Society. New Series
5 Expositiones Mathematicae
4 Compositio Mathematica
4 Inventiones Mathematicae
4 Algebras and Representation Theory
3 Bulletin of the Australian Mathematical Society
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Journal of Soviet Mathematics
3 Michigan Mathematical Journal
3 Revista Matemática Iberoamericana
3 Journal of the American Mathematical Society
3 Journal of Mathematical Sciences (New York)
3 Finite Fields and their Applications
3 Journal of \(K\)-Theory
2 Rocky Mountain Journal of Mathematics
2 The Mathematical Intelligencer
2 Beiträge zur Algebra und Geometrie
2 Acta Mathematica
2 Annales de l’Institut Fourier
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Commentarii Mathematici Helvetici
2 Glasgow Mathematical Journal
2 Publications Mathématiques
2 Memoirs of the American Mathematical Society
2 Pacific Journal of Mathematics
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Results in Mathematics
2 Journal of Symbolic Computation
2 Forum Mathematicum
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Journal of Algebraic Geometry
2 Advances in Applied Clifford Algebras
2 Bulletin des Sciences Mathématiques
2 Journal of Group Theory
2 Annals of Mathematics. Second Series
2 Central European Journal of Mathematics
2 Advances in Mathematics of Communications
2 Forum of Mathematics, Sigma
1 Archive for History of Exact Sciences
1 Archive for Rational Mechanics and Analysis
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 Journal of Mathematical Physics
1 Linear and Multilinear Algebra
1 Wave Motion
1 Mathematics of Computation
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Illinois Journal of Mathematics
1 Journal of Computational and Applied Mathematics
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Nachrichten
1 Nagoya Mathematical Journal
1 Advances in Applied Mathematics
1 Bulletin of the Korean Mathematical Society
1 Acta Mathematica Hungarica
1 Bulletin of the Iranian Mathematical Society
1 Journal of Cryptology
1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
1 International Journal of Algebra and Computation
1 Numerical Algorithms
1 Geometric and Functional Analysis. GAFA
1 L’Enseignement Mathématique. 2e Série
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Mathematical Programming. Series A. Series B
1 Archive of Applied Mechanics
1 Algebra Colloquium
1 Annales Mathématiques Blaise Pascal
1 Turkish Journal of Mathematics
1 The New York Journal of Mathematics
1 Engineering Analysis with Boundary Elements
1 Izvestiya: Mathematics
1 Representation Theory
1 Geometry & Topology
1 Annals of Combinatorics
1 LMS Journal of Computation and Mathematics
1 Journal of the European Mathematical Society (JEMS)
...and 19 more Serials
all top 5

Cited in 39 Fields

303 Associative rings and algebras (16-XX)
298 Number theory (11-XX)
153 Field theory and polynomials (12-XX)
150 Group theory and generalizations (20-XX)
146 Algebraic geometry (14-XX)
102 Nonassociative rings and algebras (17-XX)
37 \(K\)-theory (19-XX)
34 Linear and multilinear algebra; matrix theory (15-XX)
31 Commutative algebra (13-XX)
12 Topological groups, Lie groups (22-XX)
9 Information and communication theory, circuits (94-XX)
8 Algebraic topology (55-XX)
7 Combinatorics (05-XX)
7 Category theory; homological algebra (18-XX)
7 Geometry (51-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
5 History and biography (01-XX)
4 General and overarching topics; collections (00-XX)
4 Manifolds and cell complexes (57-XX)
3 Fluid mechanics (76-XX)
2 Partial differential equations (35-XX)
2 Computer science (68-XX)
2 Mechanics of deformable solids (74-XX)
2 Quantum theory (81-XX)
2 Operations research, mathematical programming (90-XX)
1 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Functional analysis (46-XX)
1 Operator theory (47-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Numerical analysis (65-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Systems theory; control (93-XX)

Citations by Year

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