Jean-Pierre Tignol - Author Profile

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Tignol, Jean-Pierre

Author ID:	tignol.jean-pierre
Published as:	Tignol, Jean-Pierre; Tignol, J.-P.; Tignol, J. P.; Tignol, J.-R more...less
Homepage:	https://perso.uclouvain.be/jean-pierre.tignol/Page_personnelle_de_Jean-Pierre_Ti...
External Links:	MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef · theses.fr

Documents Indexed:	122 Publications since 1976, including 8 Books and 3 Additional arXiv Preprints
	6 Contributions as Editor · 4 Further Contributions
Reviewing Activity:	114 Reviews
Co-Authors:	68 Co-Authors with 94 Joint Publications
	1,046 Co-Co-Authors

all top 5

Co-Authors

34	single-authored
11	Wadsworth, Adrian R.
10	Quéguiner-Mathieu, Anne
9	Knus, Max-Albert
8	Merkur’ev, Aleksandr Sergeevich
5	Amitsur, Shimshon Avraham
5	Lewis, David W.
5	Parimala, Raman
5	Rowen, Louis Halle
4	Haile, Darrell E.
4	Hoffmann, Detlev W.
3	Becher, Karim Johannes
3	Berhuy, Grégory
3	Grenier-Boley, Nicolas
3	Lam, Tsit-Yuen
3	Mammone, Pasquale
3	Mühlherr, Bernhard Matthias
3	Rost, Markus
3	Shapiro, Daniel Byron
3	Vast, Nicole
3	Weiss, Richard Mark
2	Barry, Demba
2	Chacron, Maurice J.
2	Cortella, Anne
2	Dzierzgowski, Daniel
2	Elomary, Mohamed Abdou
2	Garibaldi, Ryan Skip
2	Karpenko, Nikita Aleksandrovich
2	Leep, David B.
2	Monsurrò, Marina
2	Tits, Jacques
2	Van Maldeghem, Hendrik J.
1	Absil, Pierre-Antoine
1	Aravire, Roberto
1	Bayer-Fluckiger, Eva
1	Bingen, Franz
1	Blyth, Thomas Scott
1	Boulagouaz, M’hammed
1	Bourguignon, Jean-Pierre
1	Broué, Michel
1	Buekenhout, Francis
1	Caprace, Pierre-Emmanuel
1	Chapman, Adam
1	Chernousov, Vladimir I.
1	Dejaiffe, Ingrid
1	Deligne, Pierre
1	Denert, Marleen
1	Dherte, Hélène
1	Dutilleul, Pierre
1	Elman, Richard S.
1	Frings, Christoph
1	Garibaldi, Skip
1	Gatsinzi, Jean-Baptiste
1	Gille, Philippe
1	Haile, Dawit
1	Howe, Roger Evans
1	Jacob, Bill
1	Kassel, Fanny
1	Kohel, David R.
1	Kuo, Jung-Miao
1	Lauter, Kristin Estella
1	Leroy, André Gérard
1	Mahdavi-Hezavehi, M.
1	Mahmoudi, Mohammad Gholamzadeh
1	Masquelein, Alexandre
1	Morandi, Patrick J.
1	Petit, Christophe
1	Preeti, Raman
1	Racine, Michel L.
1	Raczek, Mélanie
1	Renard, J.-F
1	Saltman, David J.
1	Serhir, Ahmed
1	Serre, Jean-Pierre
1	Sethuraman, B. A.
1	Sivatski, Alexander S.
1	Suresh, Venapally
1	Thas, Jef
1	Van Geel, Jan
1	Van Praag, Paul
1	Villa, Oliver
1	Yanchevskiĭ, Vyacheslav Ivanovich

all top 5

Serials

12	Journal of Algebra
7	Documenta Mathematica
6	Israel Journal of Mathematics
6	Mathematische Zeitschrift
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	American Journal of 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	Indagationes Mathematicae. New Series
2	Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
2	Pure and Applied Mathematics Quarterly
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	Notices of the American Mathematical Society
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	Monographies de Mathématique
1	Journal of \(K\)-Theory
1	Annals of \(K\)-Theory
1	Springer Monographs in Mathematics
1	Heritage of European Mathematics

all top 5

Fields

88	Associative rings and algebras (16-XX)
73	Number theory (11-XX)
49	Field theory and polynomials (12-XX)
27	Algebraic geometry (14-XX)
19	Group theory and generalizations (20-XX)
12	Nonassociative rings and algebras (17-XX)
11	Linear and multilinear algebra; matrix theory (15-XX)
7	General and overarching topics; collections (00-XX)
7	History and biography (01-XX)
5	\(K\)-theory (19-XX)
4	Commutative algebra (13-XX)
3	Category theory; homological algebra (18-XX)
3	Geometry (51-XX)
2	Topological groups, Lie groups (22-XX)
1	Combinatorics (05-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

108 Publications have been cited 1,538 times in 970 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	554	1998
Division algebras of degree 4 and 8 with involution. Zbl 0422.16010 Amitsur, S. A.; Rowen, L. H.; Tignol, J. P.	60	1979
Value functions on simple algebras, and associated graded rings. Zbl 1357.16002 Tignol, Jean-Pierre; Wadsworth, Adrian R.	44	2015
On the quaternion \(\ell\)-isogeny path problem. Zbl 1296.11153 Kohel, David; Lauter, Kristin; Petit, Christophe; Tignol, Jean-Pierre	43	2014
Totally ramified valuations on finite-dimensional division algebras. Zbl 0626.16005 Tignol, J.-P.; Wadsworth, A. R.	39	1987
Hyperbolic involutions. Zbl 0796.16029 Bayer-Fluckiger, E.; Shapiro, Daniel B.; Tignol, J.-P.	35	1993
The multipliers of similitudes and the Brauer group of homogeneous varieties. Zbl 0819.16015 Merkurjev, A. S.; Tignol, J.-P.	34	1995
Indecomposable algebras of prime exponent. (Algèbres indécomposables d’exposant premier.) Zbl 0642.16015 Tignol, J.-P.	33	1987
Biquaternion algebras and quartic extensions. Zbl 0801.11048 Lam, Tsit Yuen; Leep, David B.; Tignol, Jean-Pierre	32	1993
Witt rings and Brauer groups under multiquadratic extensions. I. Zbl 0492.10014 Elman, Richard; Lam, T. Y.; Tignol, J.-P.; Wadsworth, Adrian R.	29	1983
Galois’ theory of algebraic equations. Zbl 0972.12001 Tignol, Jean-Pierre	27	2001
Algebras of odd degree with involution, trace forms and dihedral extensions. Zbl 0871.16017 Haile, Darrell E.; Knus, Max-Albert; Rost, Markus; Tignol, Jean-Pierre	22	1996
Fields of characteristic 2 with prescribed u-invariants. Zbl 0713.12002 Mammone, P.; Tignol, J.-P.; Wadsworth, A.	21	1991
Kummer subfields of Malcev-Neumann division algebras. Zbl 0564.16015 Tignol, J.-P.; Amitsur, S. A.	20	1985
Galois cohomology of the classical groups over imperfect fields. Zbl 1121.11035 Berhuy, Grégory; Frings, Christoph; Tignol, Jean-Pierre	19	2007
Value functions and associated graded rings for semisimple algebras. Zbl 1195.16043 Tignol, J.-P.; Wadsworth, A. R.	18	2010
Sur les classes de similitude de corps à involution de degré 8. Zbl 0374.16006 Tignol, Jean-Pierre	17	1978
Produits croises Abeliens. Zbl 0473.16004 Tignol, Jean-Pierre	17	1981
Hyperbolicity of orthogonal involutions. With an appendix by Jean-Pierre Tignol. Zbl 1258.14007 Karpenko, Nikita A.	17	2010
Classification theorems for central simple algebras with involution (with an appendix by R. Parimala). Zbl 0953.11011 Lewis, D. W.; Tignol, J.-P.	16	1999
Corps à involution neutralisés par une extension abélienne élémentaire. Zbl 0471.16015 Tignol, J.-P.	16	1981
Reduction of the index of a central simple algebra over the function field of a quadric. (Réduction de l’indice d’une algèbre simple centrale sur le corps des fonctions d’une quadrique.) Zbl 0736.12002 Tignol, Jean-Pierre	15	1990
The trace form of a central simple algebra of degree 4. (La forme trace d’une algèbre simple centrale de degré 4.) Zbl 1110.16014 Rost, Markus; Serre, Jean-Pierre; Tignol, Jean-Pierre	15	2006
Discriminants of involutions on biquaternion algebras. Zbl 0828.11023 Knus, M.-A.; Lam, T. Y.; Shapiro, D. B.; Tignol, J.-P.	13	1995
On the corestriction of central simple algebras. Zbl 0595.16012 Tignol, Jean-Pierre	13	1987
Cyclic and elementary abelian subfields of Malcev-Neumann division algebras. Zbl 0602.16020 Tignol, J.-P.	13	1986
Witt rings and Brauer groups under multiquadratic extensions. II. Zbl 0492.10015 Shapiro, Daniel B.; Tignol, Jean-Pierre; Wadsworth, Adrian R.	13	1982
Graded Hermitian forms and Springer’s theorem. Zbl 1247.11052 Renard, J.-F; Tignol, J.-R; Wadsworth, A. R.	13	2007
Discriminant of symplectic involutions. Zbl 1183.11020 Garibaldi, Skip; Parimala, R.; Tignol, Jean-Pierre	13	2009
A Cassels-Pfister theorem for involutions on central simple algebras. Zbl 0847.16019 Tignol, J.-P.	12	1996
On the length of decompositions of central simple algebras in tensor products of symbols. Zbl 0558.16010 Tignol, J.-P.	11	1984
On the signature of an involution. Zbl 0739.11015 Lewis, David W.; Tignol, Jean-Pierre	11	1993
Invariants of quasitrivial tori and the Rost invariant. Zbl 1041.11023 Merkurjev, A. S.; Parimala, R.; Tignol, J.-P.	10	2003
\(p\)-algebras over maximally complete fields. Appendix: \(\mathbb{F}_p((X))((Y))\) is linked: An alternative proof. By Jean-Pierre Tignol. Zbl 0832.16015 Aravire, Roberto; Jacob, Bill	9	1995
Square class groups and Witt rings of central simple algebras. Zbl 0766.11024 Lewis, D. W.; Tignol, J.-P.	9	1993
Cyclic algebras of small exponent. Zbl 0558.16008 Tignol, J.-P.	9	1983
Sur les décompositions des algèbres à division en produit tensoriel d’algèbres cycliques. Zbl 0485.16012 Tignol, J.-P.	9	1982
Algebras with involution that become hyperbolic over the function field of a conic. Zbl 1214.16033 Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre	9	2010
On 14-dimensional quadratic forms in \(I^3\), 8-dimensional forms in \(I^2\), and the common value property. Zbl 0914.11014 Hoffmann, Detlev W.; Tignol, Jean-Pierre	8	1998
Classification of wild cyclic field extensions and division algebras of prime degree over a Henselian field. Zbl 0795.16013 Tignol, J.-P.	8	1992
Cyclicity conditions for division algebras of prime degree. Zbl 1044.16013 Mahdavi-Hezavehi, M.; Tignol, J.-P.	8	2003
Classification of quadratic forms over skew fields of characteristic 2. Zbl 0986.11026 Elomary, Mohamed Abdou; Tignol, Jean-Pierre	8	2001
The discriminant of a symplectic involution. Zbl 1057.16012 Berhuy, Grégory; Monsurrò, Marina; Tignol, Jean-Pierre	8	2003
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
Discriminant and Clifford algebras. Zbl 1009.16021 Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre	7	2002
Division algebras over rational function fields in one variable. Zbl 1089.16015 Rowen, L. H.; Sivatski, A. S.; Tignol, J.-P.	7	2005
The discriminant of a decomposable symplectic involution. Zbl 1048.16007 Serhir, Ahmed; Tignol, Jean-Pierre	7	2004
Totally ramified splitting fields of central simple algebras over Henselian fields. Zbl 0588.16011 Tignol, J.-P.; Amitsur, S. A.	7	1986
Linkage of Pfister forms over \(\mathbb{C}(x_1,\dots,x_n)\). Zbl 1462.11031 Chapman, Adam; Tignol, Jean-Pierre	6	2019
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
Algebras with involution that become hyperbolic under a given extension. Zbl 0897.16018 Haile, Darrell; Tignol, Jean-Pierre	6	1998
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	6	1988
Cohomological invariants and \(R\)-triviality of adjoint classical groups. Zbl 1177.11035 Berhuy, Grégory; Monsurrò, Marina; Tignol, Jean-Pierre	6	2004
Symplectic modules. Zbl 0599.20086 Tignol, J. P.; Amitsur, S. A.	6	1986
The level of division algebras over local and global fields. Zbl 0698.12013 Leep, D. B.; Tignol, J.-P.; Vast, N.	6	1989
Sur les anneaux simples différentiels. Zbl 0498.16029 Leroy, A.; Tignol, J.-P.; van Praag, Paul	6	1982
Central simple algebras with involution. Zbl 0426.16019 Tignol, J.-P.	6	1979
Isotropy of orthogonal involutions. With an appendix by Jean-Pierre Tignol. Zbl 1272.16036 Karpenko, Nikita A.	5	2013
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.	5	2011
Witt equivalence of central simple algebras with involution. Zbl 0957.16013 Dejaiffe, I.; Lewis, D. W.; Tignol, J.-P.	5	2000
Galois cohomology of biquadratic extensions. Zbl 0781.12005 Merkurjev, A. S.; Tignol, J.-P.	5	1993
The asymmetry of an anti-automorphism. Zbl 0988.11016 Cortella, Anne; Tignol, Jean-Pierre	5	2002
Dihedral algebras are cyclic. Zbl 0624.16008 Mammone, Pascal; Tignol, Jean-Pierre	5	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
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.	5	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	5	2009
Œuvres. Collected works. Vol. I–IV. Edited by Francis Buekenhout, Bernhard Matthias Mühlherr, Jean-Pierre Tignol, Hendrik Van Maldeghem. Zbl 1297.01042 Tits, Jacques	4	2013
Décomposition et descente de produits tensoriels d’algèbres de quaternions. Zbl 0444.16010 Tignol, Jean-Pierre	4	1978
Cohomological invariants for orthogonal involutions on degree 8 algebras. Zbl 1262.11051 Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre	4	2012
Triality and algebraic groups of type \(^3\mathsf D_4\). Zbl 1365.20048 Knus, Max-Albert; Tignol, Jean-Pierre	3	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
Conjugacy classes of trialitarian automorphisms and symmetric compositions. Zbl 1279.20061 Chernousov, V.; Knus, M.-A.; Tignol, J.-P.	3	2012
Cohomological invariants of central simple algebras with involution. Zbl 1260.11030 Tignol, Jean-Pierre	3	2010
Involutions and stable subalgebras. Zbl 1377.16011 Becher, Karim Johannes; Grenier-Boley, Nicolas; Tignol, Jean-Pierre	3	2018
Outer automorphisms of classical algebraic groups. Zbl 1494.20073 Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre	3	2018
Tractable fields. Zbl 0948.12001 Chacron, M.; Tignol, J.-P.; Wadsworth, A. R.	3	1999
The second trace form of a central simple algebra of degree 4 of characteristic 2. (La forme seconde trace d’une algèbre simple centrale de degré 4 de caractéristique 2.) Zbl 1110.16015 Tignol, Jean-Pierre	3	2006
Geometric methods in the algebraic theory of quadratic forms. Proceedings of the summer school, Lens, France, June 2000. Zbl 1034.14001	3	2004
On chains in division algebras of degree 3. Zbl 1178.16015 Haile, Darrell; Kuo, Jung-Miao; Tignol, Jean-Pierre	3	2009
Algebras with involution and classical groups. Zbl 0910.16008 Tignol, Jean-Pierre	2	1998
On the decomposition of cyclic algebras. Zbl 0883.16010 Rowen, L. H.; Tignol, J.-P.	2	1996
Galois cohomology of special orthogonal groups. Zbl 1055.11512 Garibaldi, Ryan; Tignol, Jean-Pierre; Wadsworth, Adrian R.	2	1997
Orthogonal involutions on central simple algebras and function fields of Severi-Brauer varieties. Zbl 1499.20118 Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre	2	2018
Division algebras with an anti-automorphism but with no involution. Zbl 1111.16019 Morandi, P. J.; Sethuraman, B. A.; Tignol, J.-P.	2	2005
The norm of quadratic spaces and the trace form of central simple algebras. (La norme des espaces quadratiques et la forme trace des algèbres simples centrales.) Zbl 0909.11014 Tignol, J.-P.	2	1994
Algebra and number theory. Proceedings of a conference, Fez, Morocco. Zbl 0928.00029	2	2000
Galois’ theory of algebraic equations. 2nd edition. Zbl 1333.12001 Tignol, Jean-Pierre	2	2016
Quartic exercises. Zbl 1120.12003 Knus, Max-Albert; Tignol, Jean-Pierre	2	2003
Sur les corps à involution de degré 8. Zbl 0359.16007 Tignol, Jean-Pierre	2	1977
Clifford division algebras and anisotropic quadratic forms: Two counterexamples. Zbl 0597.16018 Mammone, P.; Tignol, J. P.	2	1986
Generic algebras with involution of degree \(8m\). Zbl 1057.16014 Saltman, David J.; Tignol, Jean-Pierre	2	2002
Remarque sur le groupe des automorphismes d’un arbre. Zbl 0435.20003 Tignol, Jean-Pierre	2	1979
On the Pfister number of quadratic forms. Zbl 1208.11055 Parimala, R.; Suresh, V.; Tignol, J.-P.	2	2009
Tori associated to a quartic étale algebra. (Tores associés à une algèbre étale quartique.) Zbl 1426.11037 Tignol, Jean-Pierre	1	2017
Quadratic forms, compositions and triality over \(\mathbb F_1\). Zbl 1343.17006 Knus, M.-A.; Tignol, J.-P.	1	2013
Triality and étale algebras. Zbl 1219.13004 Knus, Max-Albert; Tignol, Jean-Pierre	1	2010
A Cassels-Pfister theorem for involutions on central simple algebras. Zbl 0864.11016 Tignol, J.-P.	1	1994
Decomposability of orthogonal involutions in degree 12. Zbl 1452.11040 Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre	1	2020
Pfaffians and determinant of E. H. Moore. (Pfaffiens et déterminant de E. H. Moore.) Zbl 0958.16017 Tignol, Jean-Pierre	1	1999
Jacques Tits (1930–2021). Zbl 1522.01092 Weiss, Richard M.	1	2023
Decomposability of orthogonal involutions in degree 12. Zbl 1452.11040 Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre	1	2020
Linkage of Pfister forms over \(\mathbb{C}(x_1,\dots,x_n)\). Zbl 1462.11031 Chapman, Adam; Tignol, Jean-Pierre	6	2019
Involutions and stable subalgebras. Zbl 1377.16011 Becher, Karim Johannes; Grenier-Boley, Nicolas; Tignol, Jean-Pierre	3	2018
Outer automorphisms of classical algebraic groups. Zbl 1494.20073 Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre	3	2018
Orthogonal involutions on central simple algebras and function fields of Severi-Brauer varieties. Zbl 1499.20118 Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre	2	2018
Tori associated to a quartic étale algebra. (Tores associés à une algèbre étale quartique.) Zbl 1426.11037 Tignol, Jean-Pierre	1	2017
Galois’ theory of algebraic equations. 2nd edition. Zbl 1333.12001 Tignol, Jean-Pierre	2	2016
Value functions on simple algebras, and associated graded rings. Zbl 1357.16002 Tignol, Jean-Pierre; Wadsworth, Adrian R.	44	2015
Triality and algebraic groups of type \(^3\mathsf D_4\). Zbl 1365.20048 Knus, Max-Albert; Tignol, Jean-Pierre	3	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
On the quaternion \(\ell\)-isogeny path problem. Zbl 1296.11153 Kohel, David; Lauter, Kristin; Petit, Christophe; Tignol, Jean-Pierre	43	2014
Isotropy of orthogonal involutions. With an appendix by Jean-Pierre Tignol. Zbl 1272.16036 Karpenko, Nikita A.	5	2013
Œuvres. Collected works. Vol. I–IV. Edited by Francis Buekenhout, Bernhard Matthias Mühlherr, Jean-Pierre Tignol, Hendrik Van Maldeghem. Zbl 1297.01042 Tits, Jacques	4	2013
Quadratic forms, compositions and triality over \(\mathbb F_1\). Zbl 1343.17006 Knus, M.-A.; Tignol, J.-P.	1	2013
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.	5	2012
Cohomological invariants for orthogonal involutions on degree 8 algebras. Zbl 1262.11051 Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre	4	2012
Conjugacy classes of trialitarian automorphisms and symmetric compositions. Zbl 1279.20061 Chernousov, V.; Knus, M.-A.; Tignol, J.-P.	3	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.	5	2011
Value functions and associated graded rings for semisimple algebras. Zbl 1195.16043 Tignol, J.-P.; Wadsworth, A. R.	18	2010
Hyperbolicity of orthogonal involutions. With an appendix by Jean-Pierre Tignol. Zbl 1258.14007 Karpenko, Nikita A.	17	2010
Algebras with involution that become hyperbolic over the function field of a conic. Zbl 1214.16033 Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre	9	2010
Cohomological invariants of central simple algebras with involution. Zbl 1260.11030 Tignol, Jean-Pierre	3	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	13	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	5	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.	2	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	19	2007
Graded Hermitian forms and Springer’s theorem. Zbl 1247.11052 Renard, J.-F; Tignol, J.-R; Wadsworth, A. R.	13	2007
The trace form of a central simple algebra of degree 4. (La forme trace d’une algèbre simple centrale de degré 4.) Zbl 1110.16014 Rost, Markus; Serre, Jean-Pierre; Tignol, Jean-Pierre	15	2006
The second trace form of a central simple algebra of degree 4 of characteristic 2. (La forme seconde trace d’une algèbre simple centrale de degré 4 de caractéristique 2.) Zbl 1110.16015 Tignol, Jean-Pierre	3	2006
Division algebras over rational function fields in one variable. Zbl 1089.16015 Rowen, L. H.; Sivatski, A. S.; Tignol, J.-P.	7	2005
Division algebras with an anti-automorphism but with no involution. Zbl 1111.16019 Morandi, P. J.; Sethuraman, B. A.; Tignol, J.-P.	2	2005
The discriminant of a decomposable symplectic involution. Zbl 1048.16007 Serhir, Ahmed; Tignol, Jean-Pierre	7	2004
Cohomological invariants and \(R\)-triviality of adjoint classical groups. Zbl 1177.11035 Berhuy, Grégory; Monsurrò, Marina; Tignol, Jean-Pierre	6	2004
Geometric methods in the algebraic theory of quadratic forms. Proceedings of the summer school, Lens, France, June 2000. Zbl 1034.14001	3	2004
Multipliers of improper similitudes. Zbl 1160.11321 Preeti, R.; Tignol, J.-P.	1	2004
Invariants of quasitrivial tori and the Rost invariant. Zbl 1041.11023 Merkurjev, A. S.; Parimala, R.; Tignol, J.-P.	10	2003
Cyclicity conditions for division algebras of prime degree. Zbl 1044.16013 Mahdavi-Hezavehi, M.; Tignol, J.-P.	8	2003
The discriminant of a symplectic involution. Zbl 1057.16012 Berhuy, Grégory; Monsurrò, Marina; Tignol, Jean-Pierre	8	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	7	2002
The asymmetry of an anti-automorphism. Zbl 0988.11016 Cortella, Anne; Tignol, Jean-Pierre	5	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	27	2001
Classification of quadratic forms over skew fields of characteristic 2. Zbl 0986.11026 Elomary, Mohamed Abdou; Tignol, Jean-Pierre	8	2001
Witt equivalence of central simple algebras with involution. Zbl 0957.16013 Dejaiffe, I.; Lewis, D. W.; Tignol, J.-P.	5	2000
Algebra and number theory. Proceedings of a conference, Fez, Morocco. Zbl 0928.00029	2	2000
Quadratic pairs on biquaternion algebras. Zbl 0978.16018 Tignol, Jean-Pierre	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.	16	1999
Tractable fields. Zbl 0948.12001 Chacron, M.; Tignol, J.-P.; Wadsworth, A. R.	3	1999
Pfaffians and determinant of E. H. Moore. (Pfaffiens et déterminant de E. H. Moore.) Zbl 0958.16017 Tignol, Jean-Pierre	1	1999
The book of involutions. With a preface by J. Tits. Zbl 0955.16001 Knus, Max-Albert; Merkurjev, Alexander; Rost, Markus; Tignol, Jean-Pierre	554	1998
On 14-dimensional quadratic forms in \(I^3\), 8-dimensional forms in \(I^2\), and the common value property. Zbl 0914.11014 Hoffmann, Detlev W.; Tignol, Jean-Pierre	8	1998
Algebras with involution that become hyperbolic under a given extension. Zbl 0897.16018 Haile, Darrell; Tignol, Jean-Pierre	6	1998
Algebras with involution and classical groups. Zbl 0910.16008 Tignol, Jean-Pierre	2	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, Darrell E.; Knus, Max-Albert; Rost, Markus; Tignol, Jean-Pierre	22	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.	34	1995
Discriminants of involutions on biquaternion algebras. Zbl 0828.11023 Knus, M.-A.; Lam, T. Y.; Shapiro, D. B.; Tignol, J.-P.	13	1995
\(p\)-algebras over maximally complete fields. Appendix: \(\mathbb{F}_p((X))((Y))\) is linked: An alternative proof. By Jean-Pierre Tignol. Zbl 0832.16015 Aravire, Roberto; Jacob, Bill	9	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. (La norme des espaces quadratiques et la forme trace des algèbres simples centrales.) Zbl 0909.11014 Tignol, J.-P.	2	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.	35	1993
Biquaternion algebras and quartic extensions. Zbl 0801.11048 Lam, Tsit Yuen; Leep, David B.; Tignol, Jean-Pierre	32	1993
On the signature of an involution. Zbl 0739.11015 Lewis, David W.; Tignol, Jean-Pierre	11	1993
Square class groups and Witt rings of central simple algebras. Zbl 0766.11024 Lewis, D. W.; Tignol, J.-P.	9	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.	8	1992
Fields of characteristic 2 with prescribed u-invariants. Zbl 0713.12002 Mammone, P.; Tignol, J.-P.; Wadsworth, A.	21	1991
Reduction of the index of a central simple algebra over the function field of a quadric. (Réduction de l’indice d’une algèbre simple centrale sur le corps des fonctions d’une quadrique.) Zbl 0736.12002 Tignol, Jean-Pierre	15	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.	6	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	6	1988
Totally ramified valuations on finite-dimensional division algebras. Zbl 0626.16005 Tignol, J.-P.; Wadsworth, A. R.	39	1987
Indecomposable algebras of prime exponent. (Algèbres indécomposables d’exposant premier.) Zbl 0642.16015 Tignol, J.-P.	33	1987
On the corestriction of central simple algebras. Zbl 0595.16012 Tignol, Jean-Pierre	13	1987
Dihedral algebras are cyclic. Zbl 0624.16008 Mammone, Pascal; Tignol, Jean-Pierre	5	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
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.	6	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.	20	1985
On the length of decompositions of central simple algebras in tensor products of symbols. Zbl 0558.16010 Tignol, J.-P.	11	1984
Witt rings and Brauer groups under multiquadratic extensions. I. Zbl 0492.10014 Elman, Richard; Lam, T. Y.; Tignol, J.-P.; Wadsworth, Adrian R.	29	1983
Cyclic algebras of small exponent. Zbl 0558.16008 Tignol, J.-P.	9	1983
Witt rings and Brauer groups under multiquadratic extensions. II. Zbl 0492.10015 Shapiro, Daniel B.; Tignol, Jean-Pierre; Wadsworth, Adrian R.	13	1982
Sur les décompositions des algèbres à division en produit tensoriel d’algèbres cycliques. Zbl 0485.16012 Tignol, J.-P.	9	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	17	1981
Corps à involution neutralisés par une extension abélienne élémentaire. Zbl 0471.16015 Tignol, J.-P.	16	1981
Lecons sur la théorie des équations. Zbl 0509.12022 Tignol, Jean-Pierre	1	1980
...and 8 more Documents

all cited Publications top 5 cited Publications

all top 5

Cited by 743 Authors

47	Tignol, Jean-Pierre
30	Elduque, Alberto
28	Chapman, Adam
26	Merkur’ev, Aleksandr Sergeevich
26	Sivatski, Alexander S.
25	Wadsworth, Adrian R.
22	Nokhodkar, Amir Hossein
20	Garibaldi, Skip
18	Becher, Karim Johannes
18	Karpenko, Nikita Aleksandrovich
18	Quéguiner-Mathieu, Anne
17	Parimala, Raman
16	Rowen, Louis Halle
15	Dolphin, Andrew
14	Laghribi, Ahmed
13	Pumplün, Susanne
12	Mahmoudi, Mohammad Gholamzadeh
12	Petit, Christophe
11	Baek, Sanghoon
11	Chernousov, Vladimir I.
11	Jacob, Bill
11	Matzri, Eliyahu
11	Unger, Thomas P.
10	First, Uriya A.
10	McKinnie, Kelly
10	Reichstein, Zinovy B.
10	Thakur, Maneesh L.
9	Bayer-Fluckiger, Eva
9	Brussel, Eric S.
9	Lewis, David W.
9	Petersson, Holger P.
9	Vishne, Uzi
8	Barry, Demba
8	Berhuy, Grégory
8	Krashen, Daniel
8	Kutas, Péter
8	Leep, David B.
8	Mahdavi-Hezavehi, M.
8	Preeti, Raman
7	Astier, Vincent
7	De Feo, Luca
7	De Medts, Tom
7	Kochetov, Mikhail Viktorovich
7	McNinch, George J.
7	Motiee, Mehran
7	Rapinchuk, Andrei S.
7	Saltman, David J.
7	Semenov, Nikita
7	Suresh, Venapally
6	Alsaody, Seidon
6	Aravire, Roberto
6	Auel, Asher Natan
6	Chipchakov, Ivan D.
6	Gille, Philippe
6	Guralnick, Robert Michael
6	Hazrat, Roozbeh
6	Mounirh, Karim
6	Pianzola, Arturo
6	Rapinchuk, Igor A.
5	Amitsur, Shimshon Avraham
5	Chacron, Maurice J.
5	Colliot-Thélène, Jean-Louis
5	De Clercq, Charles
5	Draper, Cristina
5	Galbraith, Steven D.
5	Garibaldi, Ryan Skip
5	Haile, Darrell E.
5	Hoffmann, Detlev W.
5	Kahn, Bruno
5	Knus, Max-Albert
5	Kuo, Jung-Miao
5	Lauter, Kristin Estella
5	Leroux, Antonin
5	Mammone, Pasquale
5	Martín González, Cándido
5	Morandi, Patrick J.
5	Petrov, Viktor
5	Van Geel, Jan
4	Bhaskhar, Nivedita
4	Gan, Wee Teck
4	Hooda, Neha
4	Merz, Simon-Philipp
4	Panny, Lorenz
4	Rehmann, Ulf
4	Sarussi, Shai
4	Savin, Gordan
4	Serre, Jean-Pierre
4	Soman, Abhay
4	Tkachev, Vladimir G.
4	Vonessen, Nikolaus
4	Wesolowski, Benjamin
4	Wu, Zhengyao
4	Yanchevskiĭ, Vyacheslav Ivanovich
4	Zhykhovich, Maksim
3	André, Carlos Alberto Martins
3	Arpin, Sarah
3	Bingöl, Fatma Kader
3	Black, Jodi
3	Calderón Martín, Antonio Jesús
3	Castryck, Wouter
...and 643 more Authors

all top 5

Cited in 175 Serials

178	Journal of Algebra
72	Communications in Algebra
59	Journal of Pure and Applied Algebra
46	Israel Journal of Mathematics
31	Transactions of the American Mathematical Society
27	Manuscripta Mathematica
25	Proceedings of the American Mathematical Society
24	Advances in Mathematics
24	Mathematische Zeitschrift
18	Transformation Groups
17	Journal of Algebra and its Applications
15	Journal of Number Theory
12	Archiv der Mathematik
12	Linear Algebra and its Applications
12	Documenta Mathematica
10	Duke Mathematical Journal
10	Mathematische Annalen
9	Indagationes Mathematicae. New Series
9	Comptes Rendus. Mathématique. Académie des Sciences, Paris
8	St. Petersburg Mathematical Journal
7	Bulletin of the London Mathematical Society
7	Algebras and Representation Theory
6	Compositio Mathematica
6	Mathematische Nachrichten
6	Michigan Mathematical Journal
5	Linear and Multilinear Algebra
5	Commentarii Mathematici Helvetici
5	Inventiones Mathematicae
5	Journal of the London Mathematical Society. Second Series
5	\(K\)-Theory
5	Bulletin of the American Mathematical Society. New Series
5	Expositiones Mathematicae
5	Advances in Applied Clifford Algebras
5	Forum of Mathematics, Sigma
4	Bulletin of the Australian Mathematical Society
4	Bulletin de la Société Mathématique de France
4	Revista Matemática Iberoamericana
4	Journal of Mathematical Sciences (New York)
4	Finite Fields and their Applications
3	Rocky Mountain Journal of Mathematics
3	Mathematics of Computation
3	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3	Glasgow Mathematical Journal
3	Journal of Soviet Mathematics
3	Memoirs of the American Mathematical Society
3	Pacific Journal of Mathematics
3	Results in Mathematics
3	Journal of the American Mathematical Society
3	Bulletin des Sciences Mathématiques
3	Journal of the European Mathematical Society (JEMS)
3	Central European Journal of Mathematics
3	Journal of \(K\)-Theory
3	Communications in Mathematics
2	Archive for History of Exact Sciences
2	Communications in Mathematical Physics
2	Journal of Mathematical Physics
2	The Mathematical Intelligencer
2	Beiträge zur Algebra und Geometrie
2	Acta Mathematica
2	Annales de l’Institut Fourier
2	Annali di Matematica Pura ed Applicata. Serie Quarta
2	Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2	Canadian Journal of Mathematics
2	Canadian Mathematical Bulletin
2	Publications Mathématiques
2	Journal für die Reine und Angewandte Mathematik
2	Rendiconti del Circolo Matemàtico di Palermo. Serie II
2	Journal of Symbolic Computation
2	Forum Mathematicum
2	Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2	Journal of Algebraic Geometry
2	Bulletin of the Belgian Mathematical Society - Simon Stevin
2	Turkish Journal of Mathematics
2	The New York Journal of Mathematics
2	Journal of Lie Theory
2	Journal of Group Theory
2	Annals of Mathematics. Second Series
2	Journal of Nonlinear Mathematical Physics
2	Journal of the Institute of Mathematics of Jussieu
2	Mediterranean Journal of Mathematics
2	Proceedings of the Steklov Institute of Mathematics
2	Journal of Mathematical Cryptology
2	Advances in Mathematics of Communications
2	Science China. Mathematics
2	Research in the Mathematical Sciences
2	Annals of \(K\)-Theory
2	Transactions of the American Mathematical Society. Series B
1	American Mathematical Monthly
1	Archive for Rational Mechanics and Analysis
1	Computers & Mathematics with Applications
1	Journal of Computational Physics
1	Mathematical Methods in the Applied Sciences
1	Mathematical Proceedings of the Cambridge Philosophical Society
1	Reports on Mathematical Physics
1	Wave Motion
1	Journal of Geometry and Physics
1	Fortschritte der Physik
1	American Journal of Mathematics
1	Hiroshima Mathematical Journal
1	Illinois Journal of Mathematics
...and 75 more Serials

all top 5

Cited in 52 Fields

436	Number theory (11-XX)
399	Associative rings and algebras (16-XX)
244	Algebraic geometry (14-XX)
233	Group theory and generalizations (20-XX)
189	Field theory and polynomials (12-XX)
157	Nonassociative rings and algebras (17-XX)
52	\(K\)-theory (19-XX)
44	Commutative algebra (13-XX)
43	Linear and multilinear algebra; matrix theory (15-XX)
40	Information and communication theory, circuits (94-XX)
27	Topological groups, Lie groups (22-XX)
20	Quantum theory (81-XX)
17	Geometry (51-XX)
14	Combinatorics (05-XX)
12	Algebraic topology (55-XX)
10	Category theory; homological algebra (18-XX)
8	History and biography (01-XX)
7	Order, lattices, ordered algebraic structures (06-XX)
7	Partial differential equations (35-XX)
7	Manifolds and cell complexes (57-XX)
6	Dynamical systems and ergodic theory (37-XX)
6	Computer science (68-XX)
5	General and overarching topics; collections (00-XX)
4	Differential geometry (53-XX)
3	Several complex variables and analytic spaces (32-XX)
3	Functional analysis (46-XX)
3	Numerical analysis (65-XX)
3	Fluid mechanics (76-XX)
3	Operations research, mathematical programming (90-XX)
2	Ordinary differential equations (34-XX)
2	Calculus of variations and optimal control; optimization (49-XX)
2	General topology (54-XX)
2	Statistics (62-XX)
2	Mechanics of deformable solids (74-XX)
2	Classical thermodynamics, heat transfer (80-XX)
1	Mathematical logic and foundations (03-XX)
1	General algebraic systems (08-XX)
1	Functions of a complex variable (30-XX)
1	Special functions (33-XX)
1	Approximations and expansions (41-XX)
1	Harmonic analysis on Euclidean spaces (42-XX)
1	Integral transforms, operational calculus (44-XX)
1	Operator theory (47-XX)
1	Convex and discrete geometry (52-XX)
1	Global analysis, analysis on manifolds (58-XX)
1	Mechanics of particles and systems (70-XX)
1	Optics, electromagnetic theory (78-XX)
1	Statistical mechanics, structure of matter (82-XX)
1	Relativity and gravitational theory (83-XX)
1	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1	Systems theory; control (93-XX)
1	Mathematics education (97-XX)

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