Edit Profile (opens in new tab) Schwartz, Lionel Co-Author Distance Author ID: schwartz.lionel Published as: Schwartz, Lionel; Schwartz, L. External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 52 Publications since 1979, including 2 Books and 6 Additional arXiv Preprints 4 Contributions as Editor · 1 Further Contribution Co-Authors: 32 Co-Authors with 42 Joint Publications 297 Co-Co-Authors all top 5 Co-Authors 15 single-authored 9 Lannes, Jean E. 6 Nguyen, Dang Ho Hai Ndhh 5 Franjou, Vincent 5 Gaudens, Gerald 4 Henn, Hans-Werner 4 Ray, Nigel 3 Piriou, Laurent 3 Tran, Ngoc Nam 2 Ho, Hai Nguyen Dang 2 Nguyễn Hu’u Viêt Hu’ng 2 Nguyễn, Thế Cuong 2 Powell, Geoffrey M. L. 1 Baker, Andrew J. 1 Bourguiba, Dorra 1 Carlisle, David P. 1 Clarke, Francis Willoughby 1 Eccles, Peter John 1 Friedlander, Eric Mark 1 Hai, Nguyen Dang Ho 1 Hilditch, S. 1 Hubbuck, John R. 1 Kirian, Delamotte 1 Lê Tuâń Hoa 1 Lemaire, Jean-Michel 1 Miller, Haynes R. 1 Nguyên Thê Cuong 1 Ochanine, Serge 1 Pirashvili, Teimuraz 1 Walker, Grant 1 Wood, Reginald M. W. 1 Zarati, Said 1 Zisman, Michel all top 5 Serials 4 Inventiones Mathematicae 4 Comptes Rendus de l’Académie des Sciences. Série I 3 Mathematische Zeitschrift 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bulletin de la Société Mathématique de France 2 Journal of Pure and Applied Algebra 2 Proceedings of the Japan Academy. Series A 2 Vietnam Journal of Mathematics 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Fundamenta Mathematicae 1 Mathematische Annalen 1 Topology 1 Transactions of the American Mathematical Society 1 \(K\)-Theory 1 IMRN. International Mathematics Research Notices 1 Georgian Mathematical Journal 1 Algebraic & Geometric Topology 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Astérisque 1 Lecture Notes in Mathematics 1 Panoramas et Synthèses 1 Geometry and Topology Monographs all top 5 Fields 50 Algebraic topology (55-XX) 19 Category theory; homological algebra (18-XX) 9 Manifolds and cell complexes (57-XX) 8 Group theory and generalizations (20-XX) 4 General and overarching topics; collections (00-XX) 4 Associative rings and algebras (16-XX) 1 Algebraic geometry (14-XX) 1 \(K\)-theory (19-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 380 times in 213 Documents Cited by ▼ Year ▼ Unstable modules over Steenrod algebra and Sullivan’s fixed point set conjecture. Zbl 0871.55001 Schwartz, Lionel 94 1994 Towards the MacLane cohomology of finite fields. (Autour de la cohomologie de MacLane des corps finis.) Zbl 0798.18009 Franjou, Vincent; Lannes, Jean; Schwartz, Lionel 46 1994 The categories of unstable modules and unstable algebras over the Steenrod algebra modulo nilpotent objects. Zbl 0805.55011 Henn, Hans-Werner; Lannes, Jean; Schwartz, Lionel 43 1993 Sur la structure des A-modules instables injectifs. Zbl 0683.55016 Lannes, Jean; Schwartz, Lionel 33 1989 Localizations of unstable \(A\)-modules and equivariant mod \(p\) cohomology. Zbl 0869.55016 Henn, Hans-Werner; Lannes, Jean; Schwartz, Lionel 28 1995 On the Kummer congruences and the stable homotopy of BU. Zbl 0709.55012 Baker, Andrew; Clarke, Francis; Ray, Nigel; Schwartz, Lionel 13 1989 A propos de conjectures de Serre et Sullivan. Zbl 0563.55011 Lannes, Jean; Schwartz, Lionel 12 1986 A propos the conjecture of a N. Kuhn on non-realization. (A propos de la conjecture de non-réalisation due à N. Kuhn.) Zbl 0919.55007 Schwartz, Lionel 12 1998 Opérations d’Adams en K-homologie et applications. Zbl 0472.55013 Schwartz, Lionel 12 1981 Modular representations of \(GL(n,p)\), splitting \(\Sigma(CP^{\infty} \times \dots \times CP^{\infty})\) and the \(\beta\)-family as framed hypersurfaces. Zbl 0536.55006 Carlisle, D.; Eccles, P.; Hilditch, S.; Ray, N.; Schwartz, Lionel; Walker, G.; Wood, R. 10 1985 Extensions of simple functors. (Extensions de foncteurs simples.) Zbl 0918.20036 Piriou, Laurent; Schwartz, Lionel 10 1998 Rational representations, the Steenrod algebra and functor homology. Zbl 1061.18011 Franjou, Vincent; Friedlander, Eric M.; Pirashvili, Teimuraz; Schwartz, Lionel 10 2003 Minc’s generating function and a “Segal conjecture” for certain Thom spectra. (La fonction génératrice de Minc et une \(\langle\langle\) conjecture de Segal \(\rangle\rangle\) pour certains spectres de Thom.) Zbl 1200.55026 Nguyen Dang Ho Hai; Schwartz, Lionel; Tran Ngoc Nam 8 2010 The Krull filtration on the category \(U\) and cohomology of spaces. (La filtration de Krull de la categorie \(U\) et la cohomologie des espaces.) Zbl 1007.55014 Schwartz, Lionel 7 2001 Reduced unstable A-modules and the modular representation theory of the symmetric groups. Zbl 0724.55012 Franjou, V.; Schwartz, L. 7 1990 Analytic functors, unstable algebras and cohomology of classifying spaces. Zbl 0683.55013 Henn, Hans-Werner; Lannes, Jean; Schwartz, Lionel 5 1989 The Artinian conjecture for \(I^{\otimes 2}\). With an appendix by Lionel Schwartz. Zbl 0928.18004 Powell, Geoffrey M. L. 5 1998 La filtration nilpotente de la catégorie \({\mathcal U}\) et la cohomologie des espaces de laçets. (The nilpotent filtration of the category \({\mathcal U}\) and the cohomology of loop spaces). Zbl 0665.55003 Schwartz, Lionel 4 1988 Embedding certain complexes via unstable homotopy theory. Zbl 0518.55011 Ray, Nigel; Schwartz, Lionel 3 1983 Sur les groupes d’homotopie des espaces dont la cohomologie modulo 2 est nilpotente. (On the homotopy groups of spaces whose cohomology mod 2 is nilpotent). Zbl 0681.55012 Lannes, Jean; Schwartz, Lionel 2 1989 Une remarque sur les générateurs du cobordisme complexe. (Some remarks on the generators of the complex bordism group). Zbl 0561.57020 Ochanine, Serge; Schwartz, Lionel 2 1985 Unstable modules over the Steenrod algebra, functors, and the cohomology of spaces. Zbl 1026.18008 Schwartz, Lionel 2 2000 On the Grothendieck ring of the category of unstable modules. (Sur l’anneau de Grothendieck de la catégorie des modules instables.) Zbl 1098.55016 Schwartz, Lionel 2 2006 On non-realization results and conjectures of N. Kuhn. Zbl 1360.55015 Cuong, Nguyen The; Gaudens, Gérald; Powell, Geoffrey; Schwartz, Lionel 2 2016 Maps from \(K(\mathbb Z/p,2)\) and a conjecture of N. Kuhn. (Applications depuis \(K(\mathbb Z/p,2)\) et une conjecture de N. Kuhn.) Zbl 1333.55012 Gaudens, Gérald; Schwartz, Lionel 2 2013 Indecomposable A-module summands in H*V which are unstable algebras. Zbl 0686.55010 Henn, Hans-Werner; Schwartz, Lionel 1 1990 Vecteurs propres de l’opération d’Adams dans \(K_ 0({\mathbb{C}}P^{\infty}/{\mathbb{C}}P^ k,{\mathbb{Z}}/p)\). Zbl 0542.55017 Schwartz, Lionel 1 1983 Realizing a complex of unstable modules. Zbl 1234.55012 Ho, Hai Nguyen Dang; Schwartz, Lionel 1 2011 Resolutions of certain unstable modules and Minc’s partition function. (Résolution de certains modules instables et fonction de partition de Minc.) Zbl 1170.18008 Nguyen, Dang Ho Hai; Schwartz, Lionel; Tran, Ngoc Nam 1 2009 Hypersurfaces et homotopie stable de U. (Hypersurfaces and the stable homotopy of U). Zbl 0571.55011 Franjou, Vincent; Schwartz, Lionel 1 1984 The Steenrod algebra, unstable modules and polynomial functors. (Algèbre de Steenrod, modules instables et foncteurs polynomiaux.) Zbl 1060.55007 Schwartz, Lionel 1 2003 Takayasu cofibrations revisited. Zbl 1347.55015 Ho, Hai Nguyen Dang; Schwartz, Lionel 1 2015 A property of the degree filtration of polynomial functors. Zbl 1041.55013 Piriou, Laurent; Schwartz, Lionel 1 2002 Some finiteness results in the category \(\mathcal U\). Zbl 1320.55015 Cuong, Nguyen The; Schwartz, Lionel 1 2015 Erratum to: The conjecture of N.Kuhn on non-realization. (Erratum to: La conjecture de non réalisation due à N.Kuhn.) Zbl 1215.55007 Schwartz, Lionel 1 2010 Lannes’ T functor on injective unstable modules and Harish-Chandra restriction. Zbl 1409.55018 Franjou, Vincent; Hai, Nguyen Dang Ho; Schwartz, Lionel 1 2018 Lannes’ T functor on injective unstable modules and Harish-Chandra restriction. Zbl 1409.55018 Franjou, Vincent; Hai, Nguyen Dang Ho; Schwartz, Lionel 1 2018 On non-realization results and conjectures of N. Kuhn. Zbl 1360.55015 Cuong, Nguyen The; Gaudens, Gérald; Powell, Geoffrey; Schwartz, Lionel 2 2016 Takayasu cofibrations revisited. Zbl 1347.55015 Ho, Hai Nguyen Dang; Schwartz, Lionel 1 2015 Some finiteness results in the category \(\mathcal U\). Zbl 1320.55015 Cuong, Nguyen The; Schwartz, Lionel 1 2015 Maps from \(K(\mathbb Z/p,2)\) and a conjecture of N. Kuhn. (Applications depuis \(K(\mathbb Z/p,2)\) et une conjecture de N. Kuhn.) Zbl 1333.55012 Gaudens, Gérald; Schwartz, Lionel 2 2013 Realizing a complex of unstable modules. Zbl 1234.55012 Ho, Hai Nguyen Dang; Schwartz, Lionel 1 2011 Minc’s generating function and a “Segal conjecture” for certain Thom spectra. (La fonction génératrice de Minc et une \(\langle\langle\) conjecture de Segal \(\rangle\rangle\) pour certains spectres de Thom.) Zbl 1200.55026 Nguyen Dang Ho Hai; Schwartz, Lionel; Tran Ngoc Nam 8 2010 Erratum to: The conjecture of N.Kuhn on non-realization. (Erratum to: La conjecture de non réalisation due à N.Kuhn.) Zbl 1215.55007 Schwartz, Lionel 1 2010 Resolutions of certain unstable modules and Minc’s partition function. (Résolution de certains modules instables et fonction de partition de Minc.) Zbl 1170.18008 Nguyen, Dang Ho Hai; Schwartz, Lionel; Tran, Ngoc Nam 1 2009 On the Grothendieck ring of the category of unstable modules. (Sur l’anneau de Grothendieck de la catégorie des modules instables.) Zbl 1098.55016 Schwartz, Lionel 2 2006 Rational representations, the Steenrod algebra and functor homology. Zbl 1061.18011 Franjou, Vincent; Friedlander, Eric M.; Pirashvili, Teimuraz; Schwartz, Lionel 10 2003 The Steenrod algebra, unstable modules and polynomial functors. (Algèbre de Steenrod, modules instables et foncteurs polynomiaux.) Zbl 1060.55007 Schwartz, Lionel 1 2003 A property of the degree filtration of polynomial functors. Zbl 1041.55013 Piriou, Laurent; Schwartz, Lionel 1 2002 The Krull filtration on the category \(U\) and cohomology of spaces. (La filtration de Krull de la categorie \(U\) et la cohomologie des espaces.) Zbl 1007.55014 Schwartz, Lionel 7 2001 Unstable modules over the Steenrod algebra, functors, and the cohomology of spaces. Zbl 1026.18008 Schwartz, Lionel 2 2000 A propos the conjecture of a N. Kuhn on non-realization. (A propos de la conjecture de non-réalisation due à N. Kuhn.) Zbl 0919.55007 Schwartz, Lionel 12 1998 Extensions of simple functors. (Extensions de foncteurs simples.) Zbl 0918.20036 Piriou, Laurent; Schwartz, Lionel 10 1998 The Artinian conjecture for \(I^{\otimes 2}\). With an appendix by Lionel Schwartz. Zbl 0928.18004 Powell, Geoffrey M. L. 5 1998 Localizations of unstable \(A\)-modules and equivariant mod \(p\) cohomology. Zbl 0869.55016 Henn, Hans-Werner; Lannes, Jean; Schwartz, Lionel 28 1995 Unstable modules over Steenrod algebra and Sullivan’s fixed point set conjecture. Zbl 0871.55001 Schwartz, Lionel 94 1994 Towards the MacLane cohomology of finite fields. (Autour de la cohomologie de MacLane des corps finis.) Zbl 0798.18009 Franjou, Vincent; Lannes, Jean; Schwartz, Lionel 46 1994 The categories of unstable modules and unstable algebras over the Steenrod algebra modulo nilpotent objects. Zbl 0805.55011 Henn, Hans-Werner; Lannes, Jean; Schwartz, Lionel 43 1993 Reduced unstable A-modules and the modular representation theory of the symmetric groups. Zbl 0724.55012 Franjou, V.; Schwartz, L. 7 1990 Indecomposable A-module summands in H*V which are unstable algebras. Zbl 0686.55010 Henn, Hans-Werner; Schwartz, Lionel 1 1990 Sur la structure des A-modules instables injectifs. Zbl 0683.55016 Lannes, Jean; Schwartz, Lionel 33 1989 On the Kummer congruences and the stable homotopy of BU. Zbl 0709.55012 Baker, Andrew; Clarke, Francis; Ray, Nigel; Schwartz, Lionel 13 1989 Analytic functors, unstable algebras and cohomology of classifying spaces. Zbl 0683.55013 Henn, Hans-Werner; Lannes, Jean; Schwartz, Lionel 5 1989 Sur les groupes d’homotopie des espaces dont la cohomologie modulo 2 est nilpotente. (On the homotopy groups of spaces whose cohomology mod 2 is nilpotent). Zbl 0681.55012 Lannes, Jean; Schwartz, Lionel 2 1989 La filtration nilpotente de la catégorie \({\mathcal U}\) et la cohomologie des espaces de laçets. (The nilpotent filtration of the category \({\mathcal U}\) and the cohomology of loop spaces). Zbl 0665.55003 Schwartz, Lionel 4 1988 A propos de conjectures de Serre et Sullivan. Zbl 0563.55011 Lannes, Jean; Schwartz, Lionel 12 1986 Modular representations of \(GL(n,p)\), splitting \(\Sigma(CP^{\infty} \times \dots \times CP^{\infty})\) and the \(\beta\)-family as framed hypersurfaces. Zbl 0536.55006 Carlisle, D.; Eccles, P.; Hilditch, S.; Ray, N.; Schwartz, Lionel; Walker, G.; Wood, R. 10 1985 Une remarque sur les générateurs du cobordisme complexe. (Some remarks on the generators of the complex bordism group). Zbl 0561.57020 Ochanine, Serge; Schwartz, Lionel 2 1985 Hypersurfaces et homotopie stable de U. (Hypersurfaces and the stable homotopy of U). Zbl 0571.55011 Franjou, Vincent; Schwartz, Lionel 1 1984 Embedding certain complexes via unstable homotopy theory. Zbl 0518.55011 Ray, Nigel; Schwartz, Lionel 3 1983 Vecteurs propres de l’opération d’Adams dans \(K_ 0({\mathbb{C}}P^{\infty}/{\mathbb{C}}P^ k,{\mathbb{Z}}/p)\). Zbl 0542.55017 Schwartz, Lionel 1 1983 Opérations d’Adams en K-homologie et applications. Zbl 0472.55013 Schwartz, Lionel 12 1981 all cited Publications top 5 cited Publications all top 5 Cited by 161 Authors 21 Schwartz, Lionel 15 Powell, Geoffrey M. L. 13 Kuhn, Nicholas J. 8 Castellana, Natàlia 8 Lannes, Jean E. 7 Hai, Nguyen Dang Ho 7 Henn, Hans-Werner 7 Scherer, Jérôme 6 Djament, Aurélien 6 Franjou, Vincent 5 Crespo, Juan Alfonso 5 Nguyễn, Thế Cuong 5 Pirashvili, Teimuraz 5 Ray, Nigel 4 Heard, Drew 4 Touzé, Antoine 4 Walker, Grant 4 Zarati, Said 3 Baker, Andrew J. 3 Baues, Hans-Joachim 3 Betley, Stanislaw 3 Blanc, David Abraham 3 Carlisle, David P. 3 Carlson, Jon Frederick 3 Chalupnik, Marcin 3 Gaudens, Gerald 3 Karaca, Ismet 3 Smith, Larry 3 Tempesta, Piergiulio 3 Troesch, Alain 3 Vespa, Christine 3 Whitehouse, Sarah Ann 3 Wood, Reginald M. W. 2 Adelberg, Arnold M. 2 Barthel, Tobias 2 Benson, David John 2 Broto, Carles 2 Dehon, Francois-Xavier 2 Drupieski, Christopher M. 2 Dwyer, William G. 2 Flores, Ramón J. 2 Grodal, Jesper 2 Guillot, Pierre-Louis 2 Hilditch, S. 2 Ho, Hai Nguyen Dang 2 Jiang, Donghua 2 Lê Minh Hà 2 Nam, Trân Ngoc 2 Nguyen, Dang Ho Hai Ndhh 2 Notbohm, Dietrich 2 Piriou, Laurent 2 Rahm, Alexander Daniel 2 Strong, M-J. 2 Symonds, Peter 2 Thomas, Jean-Claude 2 Tran, Ngoc Nam 2 Valenzuela, Gabriel 2 Vergili, Tane 2 Wendt, Matthias 2 Wilkerson, Clarence W. jun. 2 Zimmermann, Alexander 1 Ahearn, Stephen T. 1 Andersen, Kasper K. S. 1 Anton, Marian Florin 1 Antosz, Jakub 1 Balderrama, William 1 Bauer, Tilman 1 Beaudry, Agnès 1 Beliakova, Anna 1 Bourguiba, Dorra 1 Breen, Lawrence S. 1 Büscher, Sebastian 1 Cantarero, José 1 Cho’n, Phan Hoàng 1 Clarke, Francis Willoughby 1 Clément, Alain 1 Crossley, Martin D. 1 Doty, Stephen R. 1 Dugger, Daniel 1 Dundas, Bjørn Ian 1 Eccles, Peter John 1 Efimov, Alexander I. 1 Félix, Yves 1 Fresse, Benoit 1 Gálvez-Carrillo, Imma 1 Goerss, Paul G. 1 Gray, Brayton 1 Halperin, Stephen 1 Hebestreit, Fabian 1 Hemminger, David R. 1 Henke, Ellen 1 Hill, Michael A. 1 Hunter, David J. 1 Ikonicoff, Sacha 1 Imaoka, Mitsunori 1 Jaśniewski, Patryk 1 Jmoui, Errokh Mohamed 1 Johnson, Keith Peter 1 Johnston, Bryan 1 Karagueuzian, Dikran B. ...and 61 more Authors all top 5 Cited in 51 Serials 20 Journal of Pure and Applied Algebra 19 Algebraic & Geometric Topology 18 Transactions of the American Mathematical Society 15 Journal of Algebra 14 Advances in Mathematics 13 Mathematische Zeitschrift 10 Annales de l’Institut Fourier 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Communications in Algebra 6 Bulletin de la Société Mathématique de France 5 Inventiones Mathematicae 5 Journal of the American Mathematical Society 4 Manuscripta Mathematica 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Proceedings of the American Mathematical Society 3 Topology and its Applications 3 Forum Mathematicum 3 Vietnam Journal of Mathematics 3 Tunisian Journal of Mathematics 2 Duke Mathematical Journal 2 Glasgow Mathematical Journal 2 Publications Mathématiques 2 Journal of the London Mathematical Society. Second Series 2 Journal of Number Theory 2 Mathematische Annalen 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the Japan Academy. Series A 2 \(K\)-Theory 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Topology 2 Journal of Linear and Topological Algebra 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 American Journal of Mathematics 1 Compositio Mathematica 1 Fundamenta Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Revista Matemática Iberoamericana 1 Selecta Mathematica. New Series 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Geometry & Topology 1 Thai Journal of Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Homotopy and Related Structures 1 Journal of \(K\)-Theory all top 5 Cited in 20 Fields 156 Algebraic topology (55-XX) 71 Category theory; homological algebra (18-XX) 64 Group theory and generalizations (20-XX) 21 Associative rings and algebras (16-XX) 21 Manifolds and cell complexes (57-XX) 20 Commutative algebra (13-XX) 12 \(K\)-theory (19-XX) 10 Number theory (11-XX) 10 Algebraic geometry (14-XX) 7 Combinatorics (05-XX) 3 Nonassociative rings and algebras (17-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-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.