Edit Profile (opens in new tab) Tignol, Jean-Pierre Compute Distance To: Compute Author ID: tignol.jean-pierre Published as: Tignol, Jean-Pierre; Tignol, J.-P.; Tignol, J. P. more...less External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 116 Publications since 1976, including 8 Books 6 Contributions as Editor · 3 Further Contributions Reviewing Activity: 114 Reviews Co-Authors: 63 Co-Authors with 88 Joint Publications 882 Co-Co-Authors all top 5 Co-Authors 33 single-authored 10 Wadsworth, Adrian R. 9 Knus, Max-Albert 9 Quéguiner-Mathieu, Anne 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 Berhuy, Grégory 3 Lam, Tsit-Yuen 3 Mammone, Pasquale 3 Rost, Markus 3 Shapiro, Daniel Byron 3 Vast, Nicole 2 Becher, Karim Johannes 2 Chacron, Maurice J. 2 Cortella, Anne 2 Dzierzgowski, Daniel 2 Elomary, Mohamed Abdou 2 Garibaldi, Ryan Skip 2 Grenier-Boley, Nicolas 2 Karpenko, Nikita Aleksandrovich 2 Leep, David B. 2 Monsurrò, Marina 2 Tits, Jacques 1 Aravire, Roberto 1 Barry, Demba 1 Bayer-Fluckiger, Eva 1 Blyth, Thomas Scott 1 Boulagouaz, M’hammed 1 Buekenhout, Francis 1 Chapman, Adam 1 Chernousov, Vladimir I. 1 Dejaiffe, Ingrid 1 Denert, Marleen 1 Dherte, Hélène 1 Dutilleul, Pierre 1 Elman, Richard S. 1 Frings, Christoph 1 Garibaldi, Skip 1 Gatsinzi, Jean-Baptiste 1 Haile, Dawit 1 Jacob, Bill 1 Kohel, David R. 1 Kuo, Jung-Miao 1 Lauter, Kristin Estella 1 Mahdavi-Hezavehi, M. 1 Mahmoudi, Mohammad Gholamzadeh 1 Masquelein, Alexandre 1 Morandi, Patrick J. 1 Mühlherr, Bernhard Matthias 1 Petit, Christophe 1 Preeti, Raman 1 Raczek, Mélanie 1 Saltman, David J. 1 Serhir, Ahmed 1 Serre, Jean-Pierre 1 Sethuraman, B. A. 1 Sivatski, Alexander S. 1 Suresh, Venapally 1 Van Geel, Jan 1 Van Maldeghem, Hendrik J. 1 Van Praag, Paul 1 Villa, Oliver 1 Weiss, Richard Mark 1 Yanchevskii, Vyacheslav Ivanovich all top 5 Serials 11 Journal of Algebra 6 Israel Journal of Mathematics 6 Mathematische Zeitschrift 6 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 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 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 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 1 Heritage of European Mathematics all top 5 Fields 85 Associative rings and algebras (16-XX) 68 Number theory (11-XX) 48 Field theory and polynomials (12-XX) 26 Algebraic geometry (14-XX) 18 Group theory and generalizations (20-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Nonassociative rings and algebras (17-XX) 7 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 4 Commutative algebra (13-XX) 4 \(K\)-theory (19-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 102 Publications have been cited 1,080 times in 651 Documents Cited by ▼ Year ▼ The book of involutions. With a preface by J. Tits. Zbl 0955.16001Knus, Max-Albert; Merkurjev, Alexander; Rost, Markus; Tignol, Jean-Pierre 258 1998 Division algebras of degree 4 and 8 with involution. Zbl 0422.16010Amitsur, S. A.; Rowen, L. H.; Tignol, J. P. 59 1979 Totally ramified valuations on finite-dimensional division algebras. Zbl 0626.16005Tignol, J.-P.; Wadsworth, A. R. 38 1987 Hyperbolic involutions. Zbl 0796.16029Bayer-Fluckiger, E.; Shapiro, Daniel B.; Tignol, J.-P. 34 1993 Indecomposable algebras of prime exponent. (Algèbres indécomposables d’exposant premier.) Zbl 0642.16015Tignol, J.-P. 33 1987 Value functions on simple algebras, and associated graded rings. Zbl 1357.16002Tignol, Jean-Pierre; Wadsworth, Adrian R. 32 2015 The multipliers of similitudes and the Brauer group of homogeneous varieties. Zbl 0819.16015Merkurjev, A. S.; Tignol, J.-P. 30 1995 Biquaternion algebras and quartic extensions. Zbl 0801.11048Lam, Tsit Yuen; Leep, David B.; Tignol, Jean-Pierre 28 1993 Witt rings and Brauer groups under multiquadratic extensions. I. Zbl 0492.10014Elman, Richard; Lam, T. Y.; Tignol, J.-P.; Wadsaworth, Adrian R. 28 1983 Algebras of odd degree with involution, trace forms and dihedral extensions. Zbl 0871.16017Haile, Darrell E.; Knus, Max-Albert; Rost, Markus; Tignol, Jean-Pierre 21 1996 Fields of characteristic 2 with prescribed u-invariants. Zbl 0713.12002Mammone, P.; Tignol, J.-P.; Wadsworth, A. 21 1991 On the quaternion \(\ell\)-isogeny path problem. Zbl 1296.11153Kohel, David; Lauter, Kristin; Petit, Christophe; Tignol, Jean-Pierre 20 2014 Kummer subfields of Malcev-Neumann division algebras. Zbl 0564.16015Tignol, J.-P.; Amitsur, S. A. 18 1985 Value functions and associated graded rings for semisimple algebras. Zbl 1195.16043Tignol, J.-P.; Wadsworth, A. R. 17 2010 Produits croises Abeliens. Zbl 0473.16004Tignol, Jean-Pierre 16 1981 Galois cohomology of the classical groups over imperfect fields. Zbl 1121.11035Berhuy, Grégory; Frings, Christoph; Tignol, Jean-Pierre 15 2007 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 0736.12002Tignol, Jean-Pierre 14 1990 Cyclic and elementary abelian subfields of Malcev-Neumann division algebras. Zbl 0602.16020Tignol, J.-P. 13 1986 Corps à involution neutralisés par une extension abélienne élémentaire. Zbl 0471.16015Tignol, J.-P. 13 1981 Classification theorems for central simple algebras with involution (with an appendix by R. Parimala). Zbl 0953.11011Lewis, D. W.; Tignol, J.-P. 13 1999 A Cassels-Pfister theorem for involutions on central simple algebras. Zbl 0847.16019Tignol, J.-P. 12 1996 Sur les classes de similitude de corps à involution de degré 8. Zbl 0374.16006Tignol, Jean-Pierre 12 1978 Discriminant of symplectic involutions. Zbl 1183.11020Garibaldi, Skip; Parimala, R.; Tignol, Jean-Pierre 12 2009 Witt rings and Brauer groups under multiquadratic extensions. II. Zbl 0492.10015Shapiro, Daniel B.; Tignol, Jean-Pierre; Wadsworth, Adrian R. 12 1982 On the corestriction of central simple algebras. Zbl 0595.16012Tignol, Jean-Pierre 12 1987 Discriminants of involutions on biquaternion algebras. Zbl 0828.11023Knus, M.-A.; Lam, T. Y.; Shapiro, D. B.; Tignol, J.-P. 12 1995 Galois’ theory of algebraic equations. Zbl 0972.12001Tignol, Jean-Pierre 11 2001 The trace form of a central simple algebra of degree 4. (La forme trace d’une algèbre simple centrale de degré 4.) Zbl 1110.16014Rost, Markus; Serre, Jean-Pierre; Tignol, Jean-Pierre 11 2006 Square class groups and Witt rings of central simple algebras. Zbl 0766.11024Lewis, D. W.; Tignol, J.-P. 9 1993 Invariants of quasitrivial tori and the Rost invariant. Zbl 1041.11023Merkurjev, A. S.; Parimala, R.; Tignol, J.-P. 9 2003 Hyperbolicity of orthogonal involutions. With an appendix by Jean-Pierre Tignol. Zbl 1258.14007Karpenko, Nikita A. 9 2010 Algèbres à division et extensions de corps sauvagement ramifiées de degré premier. (Division algebras and wildly ramified extensions of prime degree of fields). Zbl 0684.16011Tignol, J.-P. 8 1990 Cyclicity conditions for division algebras of prime degree. Zbl 1044.16013Mahdavi-Hezavehi, M.; Tignol, J.-P. 8 2003 On the signature of an involution. Zbl 0739.11015Lewis, David W.; Tignol, Jean-Pierre 8 1993 Discriminant and Clifford algebras. Zbl 1009.16021Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre 7 2002 Sur les décompositions des algèbres à division en produit tensoriel d’algèbres cycliques. Zbl 0485.16012Tignol, J.-P. 7 1982 Totally ramified splitting fields of central simple algebras over Henselian fields. Zbl 0588.16011Tignol, J.-P.; Amitsur, S. A. 7 1986 On the length of decompositions of central simple algebras in tensor products of symbols. Zbl 0558.16010Tignol, J.-P. 7 1984 Classification of quadratic forms over skew fields of characteristic 2. Zbl 0986.11026Elomary, Mohamed Abdou; Tignol, Jean-Pierre 7 2001 Division algebras over rational function fields in one variable. Zbl 1089.16015Rowen, L. H.; Sivatski, A. S.; Tignol, J.-P. 7 2005 Classification of wild cyclic field extensions and division algebras of prime degree over a Henselian field. Zbl 0795.16013Tignol, J.-P. 6 1992 The discriminant of a symplectic involution. Zbl 1057.16012Berhuy, Grégory; Monsurrò, Marina; Tignol, Jean-Pierre 6 2003 Symplectic modules. Zbl 0599.20086Tignol, J. P.; Amitsur, S. A. 6 1986 Algebras with involution that become hyperbolic under a given extension. Zbl 0897.16018Haile, Darrell; Tignol, Jean-Pierre 6 1998 Discriminants of involutions on Henselian division algebras. Zbl 0826.16013Chacron, M.; Dherte, H.; Tignol, J.-P.; Wadsworth, A. R.; Yanchevskij, V. I. 6 1995 On 14-dimensional quadratic forms in \(I^3\), 8-dimensional forms in \(I^2\), and the common value property. Zbl 0914.11014Hoffmann, Detlev W.; Tignol, Jean-Pierre 6 1998 The discriminant of a decomposable symplectic involution. Zbl 1048.16007Serhir, Ahmed; Tignol, Jean-Pierre 6 2004 Sur les anneaux simples différentiels. Zbl 0498.16029Leroy, A.; Tignol, J.-P.; van Praag, Paul 6 1982 The level of division algebras over local and global fields. Zbl 0698.12013Leep, D. B.; Tignol, J.-P.; Vast, N. 6 1989 Algebras with involution that become hyperbolic over the function field of a conic. Zbl 1214.16033Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre 6 2010 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 0626.10020Tignol, Jean-Pierre; Vast, Nicole 5 1987 Witt equivalence of central simple algebras with involution. Zbl 0957.16013Dejaiffe, I.; Lewis, D. W.; Tignol, J.-P. 5 2000 The Kneser-Tits conjecture for groups with Tits-index E\(_{8,2}^{66}\) over an arbitrary field. Zbl 1251.20045Parimala, R.; Tignol, J.-P.; Weiss, R. M. 5 2012 Dihedral algebras are cyclic. Zbl 0624.16008Mammone, Pascal; Tignol, Jean-Pierre 5 1987 Cohomological invariants and \(R\)-triviality of adjoint classical groups. Zbl 1177.11035Berhuy, Grégory; Monsurrò, Marina; Tignol, Jean-Pierre 5 2004 Galois cohomology of biquadratic extensions. Zbl 0781.12005Merkurjev, A. S.; Tignol, J.-P. 5 1993 Valuations on algebras with involution. Zbl 1234.16027Tignol, J.-P.; Wadsworth, A. R. 5 2011 Cohomological invariants for orthogonal involutions on degree 8 algebras. Zbl 1262.11051Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre 4 2012 Isotropy of orthogonal involutions. With an appendix by Jean-Pierre Tignol. Zbl 1272.16036Karpenko, Nikita A. 4 2013 Cyclic algebras of small exponent. Zbl 0558.16008Tignol, J.-P. 4 1983 \(p\)-algebras over maximally complete fields. Appendix: \(\mathbb{F}_p((X))((Y))\) is linked: An alternative proof. By Jean-Pierre Tignol. Zbl 0832.16015Aravire, Roberto; Jacob, Bill 4 1995 The asymmetry of an anti-automorphism. Zbl 0988.11016Cortella, Anne; Tignol, Jean-Pierre 4 2002 Quadratic forms of dimension 8 with trivial discriminant and Clifford algebra of index 4. Zbl 1207.11043Masquelein, Alexandre; Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre 4 2009 Central simple algebras with involution. Zbl 0426.16019Tignol, J.-P. 3 1979 Décomposition et descente de produits tensoriels d’algèbres de quaternions. Zbl 0444.16010Tignol, Jean-Pierre 3 1978 Linkage of Pfister forms over \(\mathbb{C}(x_1,\dots,x_n)\). Zbl 1462.11031Chapman, Adam; Tignol, Jean-Pierre 3 2019 Triality and algebraic groups of type \(^3\mathsf D_4\). Zbl 1365.20048Knus, Max-Albert; Tignol, Jean-Pierre 3 2015 Involutions and stable subalgebras. Zbl 1377.16011Becher, Karim Johannes; Grenier-Boley, Nicolas; Tignol, Jean-Pierre 3 2018 Cohomological invariants of central simple algebras with involution. Zbl 1260.11030Tignol, Jean-Pierre 3 2010 On chains in division algebras of degree 3. Zbl 1178.16015Haile, Darrell; Kuo, Jung-Miao; Tignol, Jean-Pierre 3 2009 Generic algebras with involution of degree \(8m\). Zbl 1057.16014Saltman, David J.; Tignol, Jean-Pierre 2 2002 On the Pfister number of quadratic forms. Zbl 1208.11055Parimala, R.; Suresh, V.; Tignol, J.-P. 2 2009 Remarque sur le groupe des automorphismes d’un arbre. Zbl 0435.20003Tignol, Jean-Pierre 2 1979 Sur les corps à involution de degré 8. Zbl 0359.16007Tignol, Jean-Pierre 2 1977 Springer’s theorem for tame quadratic forms over Henselian fields. Zbl 1270.11039Elomary, M. A.; Tignol, J.-P. 2 2011 Conjugacy classes of trialitarian automorphisms and symmetric compositions. Zbl 1279.20061Chernousov, V.; Knus, M.-A.; Tignol, J.-P. 2 2012 Clifford division algebras and anisotropic quadratic forms: Two counterexamples. Zbl 0597.16018Mammone, P.; Tignol, J. P. 2 1986 Orthogonal involutions on central simple algebras and function fields of Severi-Brauer varieties. Zbl 1499.20118Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre 2 2018 The Arason invariant of orthogonal involutions of degree 12 and 8, and quaternionic subgroups of the Brauer group. Zbl 1358.11058Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre 2 2015 Quartic exercises. Zbl 1120.12003Knus, Max-Albert; Tignol, Jean-Pierre 2 2003 On the decomposition of cyclic algebras. Zbl 0883.16010Rowen, L. H.; Tignol, J.-P. 2 1996 Galois cohomology of special orthogonal groups. Zbl 1055.11512Garibaldi, Ryan; Tignol, Jean-Pierre; Wadsworth, Adrian R. 2 1997 Division algebras with an anti-automorphism but with no involution. Zbl 1111.16019Morandi, P. J.; Sethuraman, B. A.; Tignol, J.-P. 2 2005 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 1110.16015Tignol, Jean-Pierre 2 2006 Tractable fields. Zbl 0948.12001Chacron, M.; Tignol, J.-P.; Wadsworth, A. R. 2 1999 Algebra and number theory. Proceedings of a conference, Fez, Morocco. Zbl 0928.00029 2 2000 Outer automorphisms of classical algebraic groups. Zbl 1494.20073Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre 2 2018 A Cassels-Pfister theorem for involutions on central simple algebras. Zbl 0864.11016Tignol, J.-P. 1 1994 Multipliers of improper similitudes. Zbl 1160.11321Preeti, R.; Tignol, J.-P. 1 2004 Les corps universels d’Amitsur. Zbl 0428.12016Tignol, Jean-Pierre 1 1976 Division algebras of degree 4 and 8 with involution. Zbl 0415.16017Amitsur, S. A.; Rowen, L. H.; Tignol, J. P. 1 1979 Metacyclic division algebras of degree five. Zbl 0691.16029Tignol, J.-P. 1 1989 Lecons sur la théorie des équations. Zbl 0509.12022Tignol, Jean-Pierre 1 1980 Tori associated to a quartic étale algebra. (Tores associés à une algèbre étale quartique.) Zbl 1426.11037Tignol, Jean-Pierre 1 2017 Decomposability of orthogonal involutions in degree 12. Zbl 1452.11040Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre 1 2020 Galois’ theory of algebraic equations. Written, transl. (from the French) and revised by Jean-Pierre Tignol. Ed. by T. S. Blyth. Zbl 0663.12020Tignol, Jean-Pierre 1 1988 Algebras with involution and classical groups. Zbl 0910.16008Tignol, Jean-Pierre 1 1998 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 0909.11014Tignol, J.-P. 1 1994 Quadratic pairs on biquaternion algebras. Zbl 0978.16018Tignol, Jean-Pierre 1 2000 The level of cyclic division algebras. Zbl 0724.12004Denert, Marleen; Tignol, Jean-Pierre; Van Geel, Jan; Vast, Nicole 1 1990 Decomposability of orthogonal involutions in degree 12. Zbl 1452.11040Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre 1 2020 Linkage of Pfister forms over \(\mathbb{C}(x_1,\dots,x_n)\). Zbl 1462.11031Chapman, Adam; Tignol, Jean-Pierre 3 2019 Involutions and stable subalgebras. Zbl 1377.16011Becher, Karim Johannes; Grenier-Boley, Nicolas; Tignol, Jean-Pierre 3 2018 Orthogonal involutions on central simple algebras and function fields of Severi-Brauer varieties. Zbl 1499.20118Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre 2 2018 Outer automorphisms of classical algebraic groups. Zbl 1494.20073Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre 2 2018 Tori associated to a quartic étale algebra. (Tores associés à une algèbre étale quartique.) Zbl 1426.11037Tignol, Jean-Pierre 1 2017 Value functions on simple algebras, and associated graded rings. Zbl 1357.16002Tignol, Jean-Pierre; Wadsworth, Adrian R. 32 2015 Triality and algebraic groups of type \(^3\mathsf D_4\). Zbl 1365.20048Knus, 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 1358.11058Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre 2 2015 On the quaternion \(\ell\)-isogeny path problem. Zbl 1296.11153Kohel, David; Lauter, Kristin; Petit, Christophe; Tignol, Jean-Pierre 20 2014 Isotropy of orthogonal involutions. With an appendix by Jean-Pierre Tignol. Zbl 1272.16036Karpenko, Nikita A. 4 2013 The Kneser-Tits conjecture for groups with Tits-index E\(_{8,2}^{66}\) over an arbitrary field. Zbl 1251.20045Parimala, R.; Tignol, J.-P.; Weiss, R. M. 5 2012 Cohomological invariants for orthogonal involutions on degree 8 algebras. Zbl 1262.11051Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre 4 2012 Conjugacy classes of trialitarian automorphisms and symmetric compositions. Zbl 1279.20061Chernousov, V.; Knus, M.-A.; Tignol, J.-P. 2 2012 Valuations on algebras with involution. Zbl 1234.16027Tignol, J.-P.; Wadsworth, A. R. 5 2011 Springer’s theorem for tame quadratic forms over Henselian fields. Zbl 1270.11039Elomary, M. A.; Tignol, J.-P. 2 2011 Value functions and associated graded rings for semisimple algebras. Zbl 1195.16043Tignol, J.-P.; Wadsworth, A. R. 17 2010 Hyperbolicity of orthogonal involutions. With an appendix by Jean-Pierre Tignol. Zbl 1258.14007Karpenko, Nikita A. 9 2010 Algebras with involution that become hyperbolic over the function field of a conic. Zbl 1214.16033Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre 6 2010 Cohomological invariants of central simple algebras with involution. Zbl 1260.11030Tignol, Jean-Pierre 3 2010 Triality and étale algebras. Zbl 1219.13004Knus, Max-Albert; Tignol, Jean-Pierre 1 2010 Discriminant of symplectic involutions. Zbl 1183.11020Garibaldi, Skip; Parimala, R.; Tignol, Jean-Pierre 12 2009 Quadratic forms of dimension 8 with trivial discriminant and Clifford algebra of index 4. Zbl 1207.11043Masquelein, Alexandre; Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre 4 2009 On chains in division algebras of degree 3. Zbl 1178.16015Haile, Darrell; Kuo, Jung-Miao; Tignol, Jean-Pierre 3 2009 On the Pfister number of quadratic forms. Zbl 1208.11055Parimala, R.; Suresh, V.; Tignol, J.-P. 2 2009 Ternary cubic forms and étale algebras. Zbl 1251.12004Raczek, Mélanie; Tignol, Jean-Pierre 1 2009 Galois cohomology of the classical groups over imperfect fields. Zbl 1121.11035Berhuy, Grégory; Frings, Christoph; Tignol, Jean-Pierre 15 2007 The trace form of a central simple algebra of degree 4. (La forme trace d’une algèbre simple centrale de degré 4.) Zbl 1110.16014Rost, Markus; Serre, Jean-Pierre; Tignol, Jean-Pierre 11 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 1110.16015Tignol, Jean-Pierre 2 2006 Division algebras over rational function fields in one variable. Zbl 1089.16015Rowen, L. H.; Sivatski, A. S.; Tignol, J.-P. 7 2005 Division algebras with an anti-automorphism but with no involution. Zbl 1111.16019Morandi, P. J.; Sethuraman, B. A.; Tignol, J.-P. 2 2005 The discriminant of a decomposable symplectic involution. Zbl 1048.16007Serhir, Ahmed; Tignol, Jean-Pierre 6 2004 Cohomological invariants and \(R\)-triviality of adjoint classical groups. Zbl 1177.11035Berhuy, Grégory; Monsurrò, Marina; Tignol, Jean-Pierre 5 2004 Multipliers of improper similitudes. Zbl 1160.11321Preeti, R.; Tignol, J.-P. 1 2004 Invariants of quasitrivial tori and the Rost invariant. Zbl 1041.11023Merkurjev, A. S.; Parimala, R.; Tignol, J.-P. 9 2003 Cyclicity conditions for division algebras of prime degree. Zbl 1044.16013Mahdavi-Hezavehi, M.; Tignol, J.-P. 8 2003 The discriminant of a symplectic involution. Zbl 1057.16012Berhuy, Grégory; Monsurrò, Marina; Tignol, Jean-Pierre 6 2003 Quartic exercises. Zbl 1120.12003Knus, Max-Albert; Tignol, Jean-Pierre 2 2003 Discriminant and Clifford algebras. Zbl 1009.16021Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre 7 2002 The asymmetry of an anti-automorphism. Zbl 0988.11016Cortella, Anne; Tignol, Jean-Pierre 4 2002 Generic algebras with involution of degree \(8m\). Zbl 1057.16014Saltman, David J.; Tignol, Jean-Pierre 2 2002 Galois’ theory of algebraic equations. Zbl 0972.12001Tignol, Jean-Pierre 11 2001 Classification of quadratic forms over skew fields of characteristic 2. Zbl 0986.11026Elomary, Mohamed Abdou; Tignol, Jean-Pierre 7 2001 Witt equivalence of central simple algebras with involution. Zbl 0957.16013Dejaiffe, 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 0978.16018Tignol, Jean-Pierre 1 2000 Classification theorems for central simple algebras with involution (with an appendix by R. Parimala). Zbl 0953.11011Lewis, D. W.; Tignol, J.-P. 13 1999 Tractable fields. Zbl 0948.12001Chacron, M.; Tignol, J.-P.; Wadsworth, A. R. 2 1999 The book of involutions. With a preface by J. Tits. Zbl 0955.16001Knus, Max-Albert; Merkurjev, Alexander; Rost, Markus; Tignol, Jean-Pierre 258 1998 Algebras with involution that become hyperbolic under a given extension. Zbl 0897.16018Haile, 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 0914.11014Hoffmann, Detlev W.; Tignol, Jean-Pierre 6 1998 Algebras with involution and classical groups. Zbl 0910.16008Tignol, Jean-Pierre 1 1998 Galois cohomology of special orthogonal groups. Zbl 1055.11512Garibaldi, Ryan; Tignol, Jean-Pierre; Wadsworth, Adrian R. 2 1997 Algebras of odd degree with involution, trace forms and dihedral extensions. Zbl 0871.16017Haile, Darrell E.; Knus, Max-Albert; Rost, Markus; Tignol, Jean-Pierre 21 1996 A Cassels-Pfister theorem for involutions on central simple algebras. Zbl 0847.16019Tignol, J.-P. 12 1996 On the decomposition of cyclic algebras. Zbl 0883.16010Rowen, L. H.; Tignol, J.-P. 2 1996 The multipliers of similitudes and the Brauer group of homogeneous varieties. Zbl 0819.16015Merkurjev, A. S.; Tignol, J.-P. 30 1995 Discriminants of involutions on biquaternion algebras. Zbl 0828.11023Knus, M.-A.; Lam, T. Y.; Shapiro, D. B.; Tignol, J.-P. 12 1995 Discriminants of involutions on Henselian division algebras. Zbl 0826.16013Chacron, M.; Dherte, H.; Tignol, J.-P.; Wadsworth, A. R.; Yanchevskij, V. I. 6 1995 \(p\)-algebras over maximally complete fields. Appendix: \(\mathbb{F}_p((X))((Y))\) is linked: An alternative proof. By Jean-Pierre Tignol. Zbl 0832.16015Aravire, Roberto; Jacob, Bill 4 1995 A Cassels-Pfister theorem for involutions on central simple algebras. Zbl 0864.11016Tignol, J.-P. 1 1994 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 0909.11014Tignol, J.-P. 1 1994 Hyperbolic involutions. Zbl 0796.16029Bayer-Fluckiger, E.; Shapiro, Daniel B.; Tignol, J.-P. 34 1993 Biquaternion algebras and quartic extensions. Zbl 0801.11048Lam, Tsit Yuen; Leep, David B.; Tignol, Jean-Pierre 28 1993 Square class groups and Witt rings of central simple algebras. Zbl 0766.11024Lewis, D. W.; Tignol, J.-P. 9 1993 On the signature of an involution. Zbl 0739.11015Lewis, David W.; Tignol, Jean-Pierre 8 1993 Galois cohomology of biquadratic extensions. Zbl 0781.12005Merkurjev, A. S.; Tignol, J.-P. 5 1993 Classification of wild cyclic field extensions and division algebras of prime degree over a Henselian field. Zbl 0795.16013Tignol, J.-P. 6 1992 Fields of characteristic 2 with prescribed u-invariants. Zbl 0713.12002Mammone, 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 0736.12002Tignol, 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 0684.16011Tignol, J.-P. 8 1990 The level of cyclic division algebras. Zbl 0724.12004Denert, Marleen; Tignol, Jean-Pierre; Van Geel, Jan; Vast, Nicole 1 1990 The level of division algebras over local and global fields. Zbl 0698.12013Leep, D. B.; Tignol, J.-P.; Vast, N. 6 1989 Metacyclic division algebras of degree five. Zbl 0691.16029Tignol, 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 0663.12020Tignol, Jean-Pierre 1 1988 Totally ramified valuations on finite-dimensional division algebras. Zbl 0626.16005Tignol, J.-P.; Wadsworth, A. R. 38 1987 Indecomposable algebras of prime exponent. (Algèbres indécomposables d’exposant premier.) Zbl 0642.16015Tignol, J.-P. 33 1987 On the corestriction of central simple algebras. Zbl 0595.16012Tignol, 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 0626.10020Tignol, Jean-Pierre; Vast, Nicole 5 1987 Dihedral algebras are cyclic. Zbl 0624.16008Mammone, Pascal; Tignol, Jean-Pierre 5 1987 Cyclic and elementary abelian subfields of Malcev-Neumann division algebras. Zbl 0602.16020Tignol, J.-P. 13 1986 Totally ramified splitting fields of central simple algebras over Henselian fields. Zbl 0588.16011Tignol, J.-P.; Amitsur, S. A. 7 1986 Symplectic modules. Zbl 0599.20086Tignol, J. P.; Amitsur, S. A. 6 1986 Clifford division algebras and anisotropic quadratic forms: Two counterexamples. Zbl 0597.16018Mammone, P.; Tignol, J. P. 2 1986 Kummer subfields of Malcev-Neumann division algebras. Zbl 0564.16015Tignol, J.-P.; Amitsur, S. A. 18 1985 On the length of decompositions of central simple algebras in tensor products of symbols. Zbl 0558.16010Tignol, J.-P. 7 1984 Witt rings and Brauer groups under multiquadratic extensions. I. Zbl 0492.10014Elman, Richard; Lam, T. Y.; Tignol, J.-P.; Wadsaworth, Adrian R. 28 1983 Cyclic algebras of small exponent. Zbl 0558.16008Tignol, J.-P. 4 1983 Witt rings and Brauer groups under multiquadratic extensions. II. Zbl 0492.10015Shapiro, Daniel B.; Tignol, Jean-Pierre; Wadsworth, Adrian R. 12 1982 Sur les décompositions des algèbres à division en produit tensoriel d’algèbres cycliques. Zbl 0485.16012Tignol, J.-P. 7 1982 Sur les anneaux simples différentiels. Zbl 0498.16029Leroy, A.; Tignol, J.-P.; van Praag, Paul 6 1982 Produits croises Abeliens. Zbl 0473.16004Tignol, Jean-Pierre 16 1981 Corps à involution neutralisés par une extension abélienne élémentaire. Zbl 0471.16015Tignol, J.-P. 13 1981 Lecons sur la théorie des équations. Zbl 0509.12022Tignol, Jean-Pierre 1 1980 Division algebras of degree 4 and 8 with involution. Zbl 0422.16010Amitsur, S. A.; Rowen, L. H.; Tignol, J. P. 59 1979 Central simple algebras with involution. Zbl 0426.16019Tignol, J.-P. 3 1979 Remarque sur le groupe des automorphismes d’un arbre. Zbl 0435.20003Tignol, Jean-Pierre 2 1979 Division algebras of degree 4 and 8 with involution. Zbl 0415.16017Amitsur, S. A.; Rowen, L. H.; Tignol, J. P. 1 1979 Sur les classes de similitude de corps à involution de degré 8. Zbl 0374.16006Tignol, Jean-Pierre 12 1978 Décomposition et descente de produits tensoriels d’algèbres de quaternions. Zbl 0444.16010Tignol, Jean-Pierre 3 1978 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 474 Authors 43 Tignol, Jean-Pierre 24 Merkur’ev, Aleksandr Sergeevich 24 Sivatski, Alexander S. 23 Wadsworth, Adrian R. 17 Chapman, Adam 16 Quéguiner-Mathieu, Anne 15 Parimala, Raman 15 Rowen, Louis Halle 14 Becher, Karim Johannes 14 Nokhodkar, Amir Hossein 13 Garibaldi, Skip 13 Laghribi, Ahmed 12 Dolphin, Andrew 11 Elduque, Alberto 11 Mahmoudi, Mohammad Gholamzadeh 10 Jacob, Bill 10 Karpenko, Nikita Aleksandrovich 8 Baek, Sanghoon 8 Brussel, Eric S. 8 Lewis, David W. 8 Mahdavi-Hezavehi, M. 8 McKinnie, Kelly 8 Thakur, Maneesh L. 8 Unger, Thomas P. 7 Barry, Demba 7 Bayer-Fluckiger, Eva 7 Berhuy, Grégory 7 Chernousov, Vladimir I. 7 First, Uriya A. 7 Krashen, Daniel 7 Leep, David B. 7 Matzri, Eliyahu 6 Hazrat, Roozbeh 6 Motiee, Mehran 6 Mounirh, Karim 6 Petersson, Holger P. 6 Petrov, Viktor 6 Preeti, Raman 6 Pumplün, Susanne 6 Reichstein, Zinovy B. 6 Saltman, David J. 6 Semenov, Nikita 6 Vishne, Uzi 5 Amitsur, Shimshon Avraham 5 Aravire, Roberto 5 Astier, Vincent 5 Chipchakov, Ivan D. 5 Gille, Philippe 5 Hoffmann, Detlev W. 5 Kahn, Bruno 5 Knus, Max-Albert 5 Mammone, Pasquale 5 Martín González, Cándido 5 McNinch, George J. 5 Pianzola, Arturo 5 Suresh, Venapally 4 Bhaskhar, Nivedita 4 Chacron, Maurice J. 4 Colliot-Thélène, Jean-Louis 4 De Medts, Tom 4 Draper, Cristina 4 Haile, Darrell E. 4 Hooda, Neha 4 Kutas, Péter 4 Morandi, Patrick J. 4 Petit, Christophe 4 Rapinchuk, Andrei S. 4 Van Geel, Jan 3 Alsaody, Seidon 3 Black, Jodi 3 Calderón Martín, Antonio Jesús 3 Cimprič, Jaka 3 Cortella, Anne 3 Emery, Vincent 3 Galbraith, Steven D. 3 Garibaldi, Ryan Skip 3 Grenier-Boley, Nicolas 3 Guralnick, Robert Michael 3 Han, Ilseop 3 Khanduja, Sudesh K. 3 Kiani, Dariush 3 Kuo, Jung-Miao 3 Leroy, André Gérard 3 Rapinchuk, Igor A. 3 Sarussi, Shai 3 Serre, Jean-Pierre 3 Sethuraman, B. A. 3 Sridharan, Ramaiyengar 3 Stavrova, Anastasia K. 3 Tengan, Eduardo 3 Wu, Zhengyao 3 Yanchevskii, Vyacheslav Ivanovich 3 Zhykhovich, Maksim 2 Arason, Jón Kristinn 2 Auel, Asher Natan 2 Boelaert, Lien 2 Boulagouaz, M’hammed 2 Castryck, Wouter 2 Darpö, Erik 2 De Clercq, Charles ...and 374 more Authors all top 5 Cited in 128 Serials 100 Journal of Algebra 61 Communications in Algebra 44 Israel Journal of Mathematics 42 Journal of Pure and Applied Algebra 31 Transactions of the American Mathematical Society 24 Manuscripta Mathematica 23 Proceedings of the American Mathematical Society 22 Mathematische Zeitschrift 16 Transformation Groups 13 Journal of Algebra and its Applications 10 Archiv der Mathematik 10 Duke Mathematical Journal 9 Advances in Mathematics 8 Documenta Mathematica 7 Journal of Number Theory 7 Mathematische Annalen 6 St. Petersburg Mathematical Journal 6 Algebras and Representation Theory 5 Inventiones Mathematicae 5 \(K\)-Theory 5 Linear Algebra and its Applications 5 Bulletin of the American Mathematical Society. New Series 5 Indagationes Mathematicae. New Series 4 Bulletin of the Australian Mathematical Society 4 Commentarii Mathematici Helvetici 4 Compositio Mathematica 4 Michigan Mathematical Journal 4 Forum of Mathematics, Sigma 3 Mathematics of Computation 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Journal of Soviet Mathematics 3 Pacific Journal of Mathematics 3 Revista Matemática Iberoamericana 3 Journal of the American Mathematical Society 3 Journal of Mathematical Sciences (New York) 3 Advances in Applied Clifford Algebras 3 Finite Fields and their Applications 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 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 Canadian Mathematical Bulletin 2 Glasgow Mathematical Journal 2 Publications Mathématiques 2 Memoirs of the American Mathematical Society 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Results in Mathematics 2 Forum Mathematicum 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Expositiones Mathematicae 2 Journal of Algebraic Geometry 2 Turkish Journal of Mathematics 2 Journal of Group Theory 2 Annals of Mathematics. Second Series 2 Central European Journal of Mathematics 2 Mediterranean Journal of Mathematics 2 Journal of Mathematical Cryptology 2 Advances in Mathematics of Communications 2 Annals of \(K\)-Theory 2 Transactions of the American Mathematical Society. Series B 1 Archive for History of Exact Sciences 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 American Journal of Mathematics 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 Canadian Journal of Mathematics 1 Illinois Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Journal of Geometry 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 Bulletin of the Korean Mathematical Society 1 Acta Mathematica Hungarica 1 Bulletin of the Iranian Mathematical Society 1 Journal of Symbolic Computation 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 Mathematical Programming. Series A. Series B 1 Archive of Applied Mechanics 1 Algebra Colloquium 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Annales Mathématiques Blaise Pascal 1 The New York Journal of Mathematics 1 Journal of Lie Theory 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Izvestiya: Mathematics ...and 28 more Serials all top 5 Cited in 40 Fields 308 Associative rings and algebras (16-XX) 303 Number theory (11-XX) 154 Group theory and generalizations (20-XX) 152 Field theory and polynomials (12-XX) 147 Algebraic geometry (14-XX) 89 Nonassociative rings and algebras (17-XX) 37 \(K\)-theory (19-XX) 31 Commutative algebra (13-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 20 Information and communication theory, circuits (94-XX) 17 Topological groups, Lie groups (22-XX) 9 Geometry (51-XX) 9 Quantum theory (81-XX) 8 Combinatorics (05-XX) 8 Algebraic topology (55-XX) 7 Category theory; homological algebra (18-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 5 History and biography (01-XX) 5 Manifolds and cell complexes (57-XX) 4 General and overarching topics; collections (00-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-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 Harmonic analysis on Euclidean spaces (42-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 Differential geometry (53-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.