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Further Spellings: Борель Арман External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Member of Collective: Bourbaki, Nicolas Documents Indexed: 190 Publications since 1948, including 27 Books 7 Contributions as Editor · 10 Further Contributions Biographic References: 26 Publications Co-Authors: 65 Co-Authors with 85 Joint Publications 1,577 Co-Co-Authors all top 5 Co-Authors 114 single-authored 17 Serre, Jean-Pierre 8 Tits, Jacques 6 Ji, Lizhen 5 Casselman, William A. 5 Prasad, Gopal 4 Godement, Roger 4 Haefliger, André 4 Springer, Tonny Albert 3 Atiyah, Michael Francis 3 Bien, Frédéric V. 3 Dixmier, Jacques 3 Grivel, Pierre-Paul 3 Lichnerowicz, Andre 3 Samuel, Pierre 3 Schwartz, Laurent 2 A’Campo, Norbert 2 Baily, Walter L. jun. 2 Cartan, Henri 2 Chandrasekharan, Komaravolu 2 Curtis, Charles W. 2 de Siebenthal, Jean 2 Dieudonné, Jean 2 Ehresmann, Charles 2 Friedan, Daniel Harry 2 Goresky, Robert Mark 2 Gray, Jeremy John 2 Habegger, Nathan 2 Harish-Chandra 2 Hirsch, Morris W. 2 Hirzebruch, Friedrich 2 Iwahori, Nagayoshi 2 Koszul, Jean-Louis 2 Leray, Jean 2 MacPherson, Robert Duncan 2 Malgrange, Bernard 2 Mostow, George Daniel 2 Spaltenstein, Nicolas 2 Steinberg, Robert 2 Thom, René 2 Wallach, Nolan Russell 1 Ash, Avner 1 Bass, Hyman 1 Blanchard, André 1 Braconnier, Jean 1 Bredon, Glen E. 1 Cartier, Pierre 1 Chaitin, Gregory John 1 Chandra, Premala 1 Chern, Shiing-Shen 1 Chevalley, Claude 1 Chidambaram, R. 1 Chowla, Sarvadaman 1 Delsarte, Jean 1 Dolbeault, Pierre 1 Ehless, F. 1 Eilenberg, Samuel 1 1 Floyd, Edwin E. 1 Friedman, Robert M. 1 Garland, Howard 1 Gauthier, Luc 1 Glimm, James G. 1 Harder, Günter 1 Herz, Carl S. 1 Iwasawa, Kenkichi 1 Iyanaga, Shokichi 1 Jacobson, Nathan 1 Jacquet, Hervé Michel 1 Kaup, Burchard 1 Khenkin, Gennadiĭ Markovich 1 Kollár, János 1 Krasner, Marc 1 Labesse, Jean-Pierre 1 Lax, Peter David 1 Lions, Jacques-Louis 1 Mac Lane, Leslie Saunders 1 Mandelbrot, Benoit B. 1 Mani, H. S. 1 Moore, John C. 1 Morgan, John W. 1 Narasimhan, Raghavan 1 Neron, Andre 1 Palais, Richard S. 1 Penrose, Roger 1 Pisot, Charles 1 Platonov, Vladimir Petrovich 1 Raghunathan, Madabusi Santanam 1 Rai, Shesh N. 1 Reeb, Georges H. 1 Remmert, Reinhold W. 1 Ruelle, David Pierre 1 Schreiber, Bertram M. 1 Schwarz, Albert S. 1 Schwarzenberger, R. L. E. 1 Schwermer, Joachim 1 Seeley, Robert Thomas 1 Seshadri, Conjeeveram Srirangachari 1 Siegel, Carl Ludwig 1 Solovay, Robert M. 1 Tamari, Dov ...and 7 more Co-Authors all top 5 Serials 10 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 9 Annals of Mathematics. Second Series 7 Bulletin of the American Mathematical Society 6 Commentarii Mathematici Helvetici 5 Publications Mathématiques 5 Comptes Rendus de l’Académie des Sciences. Série I 5 Notices of the American Mathematical Society 5 Lecture Notes in Mathematics 4 American Journal of Mathematics 4 Inventiones Mathematicae 4 Bulletin of the American Mathematical Society. New Series 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 4 Proceedings of Symposia in Pure Mathematics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Archiv der Mathematik 3 Bulletin de la Société Mathématique de France 3 Duke Mathematical Journal 3 Journal of Differential Geometry 3 L’Enseignement Mathématique. 2e Série 3 Proceedings of the National Academy of Sciences of the United States of America 2 The Mathematical Intelligencer 2 Compositio Mathematica 2 Gazette des Mathématiciens 2 Journal für die Reine und Angewandte Mathematik 2 Michigan Mathematical Journal 2 Tôhoku Mathematical Journal. Second Series 2 Topology 2 Advances in Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Mathematical Research Letters 2 Annals of Mathematics Studies 2 Cambridge Tracts in Mathematics 2 Texts and Readings in Mathematics 1 Israel Journal of Mathematics 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Nieuw Archief voor Wiskunde. Derde Serie 1 Pokroky Matematiky, Fyziky & Astronomie 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 European Mathematical Society Newsletter 1 Innovations in Incidence Geometry 1 Graduate Texts in Mathematics 1 Grundlehren der Mathematischen Wissenschaften 1 History of Mathematics (Providence) 1 Mathematical Surveys and Monographs 1 Progress in Mathematics 1 University Lecture Series 1 Culture and History of Mathematics 1 Anais da Academia Brasileira de Ciências 1 Modern Birkhäuser Classics 1 CTM. Classical Topics in Mathematics all top 5 Fields 70 Topological groups, Lie groups (22-XX) 51 Group theory and generalizations (20-XX) 34 Algebraic geometry (14-XX) 29 History and biography (01-XX) 29 Number theory (11-XX) 17 General and overarching topics; collections (00-XX) 15 Manifolds and cell complexes (57-XX) 13 Several complex variables and analytic spaces (32-XX) 12 Nonassociative rings and algebras (17-XX) 12 Algebraic topology (55-XX) 11 Differential geometry (53-XX) 4 Category theory; homological algebra (18-XX) 4 General topology (54-XX) 2 \(K\)-theory (19-XX) 2 Abstract harmonic analysis (43-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 155 Publications have been cited 8,272 times in 6,112 Documents Cited by ▼ Year ▼ Linear algebraic groups. 2nd enlarged ed. Zbl 0726.20030Borel, Armand 837 1991 Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts. Zbl 0052.40001Borel, Armand 383 1953 Groupes reductifs. Zbl 0145.17402Borel, Armand; Tits, Jacques 363 1965 Continuous cohomology, discrete subgroups, and representations of reductive groups. Zbl 0443.22010Borel, Armand; Wallach, N. 310 1980 Arithmetic subgroups of algebraic groups. Zbl 0107.14804Borel, Armand; Harish-Chandra 306 1962 Characteristic classes and homogeneous spaces. I-III. Zbl 0097.36401Borel, Armand; Hirzebruch, Friedrich 295 1960 Compactification of arithmetic quotients of bounded symmetric domains. Zbl 0154.08602Baily, W. L. jun.; Borel, Armand 267 1966 Linear algebraic groups. Notes taken by Hyman Bass. Zbl 0186.33201Borel, Armand 250 1969 Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault). Zbl 0274.22011Borel, Armand; Serre, Jean-Pierre 221 1973 Seminar on transformation groups. With contributions by G. Bredon, E. E. Floyd, D. Montgomery and R. Palais. Zbl 0091.37202Borel, Armand 208 1960 Théoremes de finitude en cohomologie galoisienne. Zbl 0143.05901Borel, Armand; Serre, Jean-Pierre 200 1964 Introduction aux groupes arithmétiques. Zbl 0186.33202Borel, Armand 195 1969 Stable real cohomology of arithmetic groups. Zbl 0316.57026Borel, Armand 182 1974 Continuous cohomology, discrete subgroups, and representations of reductive groups. 2nd ed. Zbl 0980.22015Borel, A.; Wallach, N. 180 2000 Homomorphismes ”abstraits” de groupes algébriques simples. Zbl 0272.14013Borel, Armand; Tits, Jacques 172 1973 Les sous-groupes fermes de rang maximum des groupes de Lie clos. Zbl 0034.30701Borel, Armand; de Siebenthal, J. 162 1949 Compact Clifford-Klein forms of symmetric spaces. Zbl 0116.38603Borel, Armand 159 1963 Éléments unipotents et sous-groupes paraboliques de groupes réductifs. I. Zbl 0238.20055Borel, Armand; Tits, Jacques 145 1971 Linear algebraic groups. Zbl 0206.49801Borel, Armand 132 1969 Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup. Zbl 0334.22012Borel, Armand 110 1976 Kählerian coset spaces of semisimple Lie groups. Zbl 0058.16002Borel, Armand 109 1954 Le théorème de Riemann-Roch. Zbl 0091.33004Borel, Armand; Serre, Jean-Pierre 107 1958 La classe d’homologie fondamentale d’un espace analytique. Zbl 0102.38502Borel, Armand; Haefliger, Andre 105 1961 Algebraic \(\mathcal D\)-modules. Zbl 0642.32001 99 1987 Density properties for certain subgroups of semi-simple groups without compact components. Zbl 0094.24901Borel, Armand 93 1960 Commensurability classes and volumes of hyperbolic 3-manifolds. Zbl 0473.57003Borel, Armand 89 1981 Complements à l’article: ”Groupes reductifs”. Zbl 0254.14018Borel, Armand; Tits, Jacques 87 1972 Some finiteness properties of adele groups over number fields. Zbl 0135.08902Borel, Armand 80 1963 Automorphic forms and automorphic representations. Zbl 0414.22020Borel, Armand; Jacquet, H. 77 1979 Automorphic L-functions. Zbl 0412.10017Borel, Armand 73 1979 Homology theory for locally compact spaces. Zbl 0116.40301Borel, Armand; Moore, J. C. 71 1960 Groupes linéaires algébriques. Zbl 0070.26104Borel, Armand 68 1956 Über kompakte homogene Kählersche Mannigfaltigkeiten. Zbl 0111.18001Borel, Armand; Remmert, Reinhold 68 1962 Some metric properties of arithmetic quotients o f symmetric spaces and an extension theorem. Zbl 0249.32018Borel, Armand 67 1972 Some remarks about Lie groups transitive on spheres and tori. Zbl 0034.01603Borel, Armand 66 1949 Groupes de Lie et puissances réduites de Steenrood. Zbl 0050.39603Borel, Armand; Serre, Jean-Pierre 66 1953 Sur l’homologie et la cohomologie des groupes de Lie compacts connexes. Zbl 0056.16401Borel, Armand 65 1954 Compactifications of symmetric and locally symmetric spaces. Zbl 1100.22001Borel, Armand; Ji, Lizhen 64 2006 Rationality properties of linear algebraic groups. II. Zbl 0211.53302Borel, Armand; Springer, T. A. 64 1968 Sous-groupes commutatifs et torsion des groupes de Lie compacts connexes. Zbl 0109.26101Borel, Armand 62 1961 La cohomologie \(\mod 2\) de certains espaces homogènes. Zbl 0052.40301Borel, Armand 61 1953 Cohomologie d’immeubles et de groupes S-arithmétiques. Zbl 0338.20055Borel, Armand; Serre, Jean-Pierre 60 1976 Le plan projectif des octaves et les sphères comme espaces homogenes. Zbl 0041.52203Borel, Armand 59 1950 Density and maximality of arithmetic subgroups. Zbl 0158.03105Borel, Armand 58 1966 Seminar on algebraic groups and related finite groups. Held at the Institute for Advanced Study, Princeton/N.J., 1968/69. Zbl 0192.36201Borel, Armand; Carter, R.; Curtis, C. W.; Iwahori, N.; Springer, T. A.; Steinberg, R. 52 1970 Finiteness theorems for discrete subgroups of bounded covolume in semi- simple groups. Zbl 0707.11032Borel, Armand; Prasad, Gopal 51 1989 On semi-simple automorphisms of Lie algebras. Zbl 0066.02401Borel, Armand; Mostow, G. D. 49 1955 Topology of Lie groups and characteristic classes. Zbl 0066.02002Borel, Armand 48 1955 On free subgroups of semi-simple groups. Zbl 0533.22009Borel, Armand 48 1983 Topics in the homology theory of fibre bundles. Lectures given at the University of Chicago, 1954. Notes by E. Halpern. Zbl 0158.20503Borel, Armand 48 1967 Topological methods in algebraic geometry. Translation and appendix one by R.L.E. Schwarzenberger. Appendix two by A. Borel. 2nd, corr. printing of the 3rd ed. Zbl 0376.14001Hirzebruch, Friedrich 46 1978 Cohomologie de \(SL_n\) et valeurs de fonctions zeta aux points entiers. Zbl 0382.57027Borel, Armand 44 1977 Existence of discrete cocompact subgroups of reductive groups over local fields. Zbl 0385.14014Borel, Armand; Harder, G. 42 1978 Théoremes de structure et de conjugaison pour les groupes algébriques linéaires. Zbl 0395.20024Borel, Armand; Tits, Jacques 41 1978 Almost commuting elements in compact Lie groups. Zbl 0993.22002Borel, Armand; Friedman, Robert; Morgan, John W. 40 2002 \(L^ 2\)-cohomology of locally symmetric manifolds of finite volume. Zbl 0528.22012Borel, Armand; Casselman, William 35 1983 The work of Chevalley in Lie groups and algebraic groups. Zbl 0793.01013Borel, Armand 34 1991 Properties and linear representations of Chevalley groups. Zbl 0197.30501Borel, Armand 34 1970 Sur certaines sous-groupes des groupes de Lie compacts. Zbl 0051.01902Borel, Armand; Serre, Jean-Pierre 33 1953 Stable real cohomology of arithmetic groups. II. Zbl 0483.57026Borel, Armand 32 1981 Laplacian and the discrete spectrum of an arithmetic group. Zbl 0572.22007Borel, Armand; Garland, H. 29 1983 Intersection cohomology. (Notes of a Seminar on Intersection Homology at the University of Bern, Switzerland, Spring 1983). Zbl 0553.14002 28 1984 Regularization theorems in Lie algebra cohomology. Applications. Zbl 0528.22010Borel, Armand 24 1983 Seminar on complex multiplication. Seminar held at the Institute for Advanced Study, Princeton, N.J., 1957–58. Zbl 0147.03902Borel, Armand; Chowla, Sarvadaman; Herz, C. S.; Iwasawa, K.; Serre, Jean-Pierre 23 1966 Linear algebraic groups. Zbl 0205.50503Borel, Armand 23 1966 Les bouts des espaces homogènes de groupes de Lie. Zbl 0053.13002Borel, Armand 22 1953 Représentations de groupes localement compacts. Zbl 0242.22007Borel, Armand 22 1972 Rationality properties of linear algebraic groups. Zbl 0199.06804Borel, Armand; Springer, T. A. 21 1966 Uniqueness conditions for certain holomorphic mappings. Zbl 0145.31802Borel, Armand; Narasimhan, R. 20 1967 Stable and \(L^ 2-\)cohomology of arithmetic groups. Zbl 0472.22002Borel, Armand 19 1980 Groupes d’holonomie des variétés riemanniennes. Zbl 0046.39801Borel, Armand; Lichnerowicz, André 18 1952 On the curvature tensor of the hermitian symmetric manifolds. Zbl 0100.36101Borel, Armand 18 1960 Introduction to automorphic forms. Zbl 0191.09601Borel, Armand 18 1966 Values of isotropic quadratic forms at \(S\)-integral points. Zbl 0777.11008Borel, Armand; Prasad, Gopal 17 1992 Semisimple groups and Riemannian symmetric spaces. Zbl 0954.53002Borel, Armand 17 1998 The \(L^ 2\)-cohomology of negatively curved Riemannian symmetric spaces. Zbl 0586.57022Borel, Armand 16 1985 On the cuspidal cohomology of \(S\)-arithmetic subgroups of reductive groups over number fields. Zbl 0853.11044Borel, A.; Labesse, J.-P.; Schwermer, J. 15 1996 Reduction theory for arithmetic groups. Zbl 0213.47201Borel, Armand 15 1966 The Poincaré duality in generalized manifolds. Zbl 0142.40402Borel, Armand 14 1958 Cohomologie de sous-groupes discrets et représentations de groupes semi- simples. Zbl 0333.57023Borel, Armand 13 1976 Automorphic forms on \(\text{SL}_2(\mathbb R)\). Zbl 0912.11023Borel, Armand 13 1997 Injective endomorphisms of algebraic varieties. Zbl 0189.21402Borel, Armand 12 1969 Symmetric compact complex spaces. Zbl 0423.32015Borel, Armand 11 1979 \(L^ 2\)-cohomology and intersection cohomology of certain arithmetic varieties. Zbl 0541.14015Borel, Armand 11 1983 Essays in the history of Lie groups and algebraic groups. Zbl 1087.01011Borel, Armand 11 2001 Cohomologie réelle stable de groupes S-arithmétiques classiques. (Real stable cohomology of S-arithmetic classical groups.). Zbl 0235.57015Borel, Armand 11 1972 Epimorphic subgroups of linear algebraic groups. I. (Sous-groupes épimorphiques de groupes linéaires algébriques. I.) Zbl 0767.20017Bien, Frédéric; Borel, Armand 10 1992 The rank conjecture for number fields. Zbl 0841.19002Borel, Armand; Yang, Jun 10 1994 Class functions, conjugacy classes and commutators in semisimple Lie groups. Zbl 0872.22011Borel, Armand 10 1997 Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014Atiyah, Michael; Borel, Armand; Chaitin, G. J.; Friedan, Daniel; Glimm, James; Gray, Jeremy J.; Hirsch, Morris W.; MacLane, Saunders; Mandelbrot, Benoit B.; Ruelle, David; Schwarz, Albert; Uhlenbeck, Karen; Thom, René; Witten, Edward; Zeeman, Christopher 9 1994 Les fonction automorphes de plusieurs variables complexes. Zbl 0048.06401Borel, Armand 9 1952 The Betti numbers of the exceptional groups. Zbl 0064.25902Borel, Armand; Chevalley, Claude 9 1955 Cohomologie des espaces localement compacts d’apres J. Leray. Zbl 0126.38803Borel, Armand 9 1964 Lie groups and linear algebraic groups. I: Complex and real groups. Zbl 1133.20001Borel, Armand 8 2006 Impossibilite de fibrer une sphère par un produit de sphères. Zbl 0039.19201Borel, Armand 8 1950 Détermination des \(p\)-puissances réduites de Steenrod dans la cohomologie des groupes classiques. Applications. Zbl 0045.44302Borel, Armand; Serre, Jean-Pierre 8 1951 Sur la torsion des groupes de Lie. Zbl 0075.24105Borel, Armand 8 1956 Some properties of adele groups attached to algebraic groups. Zbl 0119.37002Borel, Armand 8 1961 On affine algebraic homogeneous spaces. Zbl 0554.14016Borel, Armand 8 1985 Arithmetic subgroups of algebraic groups. Zbl 0119.37001Borel, Armand; Harish-Chandra 7 1961 Introduction to arithmetic groups. Translated from the French by Lam Laurent Pham. Translation edited and with a preface by Dave Witte Morris. Zbl 1432.22016Borel, Armand 3 2019 Semisimple groups and Riemannian symmetric spaces. Reprint of the 1998 hardback original. Zbl 1230.53001Borel, Armand 1 2011 Automorphic forms on reductive groups. Zbl 1137.11032Borel, Armand 3 2007 Compactifications of symmetric spaces. Zbl 1110.53036Borel, Armand; Ji, Lizhen 2 2007 Compactifications of symmetric and locally symmetric spaces. Zbl 1100.22001Borel, Armand; Ji, Lizhen 64 2006 Lie groups and linear algebraic groups. I: Complex and real groups. Zbl 1133.20001Borel, Armand 8 2006 Compactifications of locally symmetric spaces. Zbl 1122.22005Borel, Armand; Ji, Lizhen 5 2006 Compactifications of symmetric and locally symmetric spaces. Zbl 1088.53034Borel, Armand; Ji, Lizhen 2 2005 Almost commuting elements in compact Lie groups. Zbl 0993.22002Borel, Armand; Friedman, Robert; Morgan, John W. 40 2002 Essays in the history of Lie groups and algebraic groups. Zbl 1087.01011Borel, Armand 11 2001 Continuous cohomology, discrete subgroups, and representations of reductive groups. 2nd ed. Zbl 0980.22015Borel, A.; Wallach, N. 180 2000 Jean Leray (1906–1998). Zbl 0977.01032Borel, Armand; Henkin, Gennadi M.; Lax, Peter D. 1 2000 Some recollections of Harish-Chandra. Zbl 0959.01004Borel, Armand 1 2000 Semisimple groups and Riemannian symmetric spaces. Zbl 0954.53002Borel, Armand 17 1998 Twenty-five years with Nicolas Bourbaki, 1949-1973. Zbl 0908.01009Borel, Armand 3 1998 Automorphic forms on \(\text{SL}_2(\mathbb R)\). Zbl 0912.11023Borel, Armand 13 1997 Class functions, conjugacy classes and commutators in semisimple Lie groups. Zbl 0872.22011Borel, Armand 10 1997 On the cuspidal cohomology of \(S\)-arithmetic subgroups of reductive groups over number fields. Zbl 0853.11044Borel, A.; Labesse, J.-P.; Schwermer, J. 15 1996 Rationally connected homogeneous spaces. Zbl 0891.14017Bien, Frédéric; Borel, Armand; Kollár, János 3 1996 Values of indefinite quadratic forms at integral points and flows on spaces of lattices. Zbl 0852.22008Borel, Armand 6 1995 Values of zeta-functions at integers, cohomology and polylogarithms. Zbl 0897.11035Borel, Armand 1 1995 The rank conjecture for number fields. Zbl 0841.19002Borel, Armand; Yang, Jun 10 1994 Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014Atiyah, Michael; Borel, Armand; Chaitin, G. J.; Friedan, Daniel; Glimm, James; Gray, Jeremy J.; Hirsch, Morris W.; MacLane, Saunders; Mandelbrot, Benoit B.; Ruelle, David; Schwarz, Albert; Uhlenbeck, Karen; Thom, René; Witten, Edward; Zeeman, Christopher 9 1994 Introduction to middle intersection cohomology and perverse sheaves. Zbl 0832.55005Borel, Armand 2 1994 Values of isotropic quadratic forms at \(S\)-integral points. Zbl 0777.11008Borel, Armand; Prasad, Gopal 17 1992 Epimorphic subgroups of linear algebraic groups. I. (Sous-groupes épimorphiques de groupes linéaires algébriques. I.) Zbl 0767.20017Bien, Frédéric; Borel, Armand 10 1992 Epimorphic subgroups of linear algebraic groups. II. (Sous-groupes épimorphiques de groupes linéaires algébriques. II.) Zbl 0780.20028Bien, Frédéric; Borel, Armand 6 1992 Deane Montgomery (1909–1992). Zbl 1194.01066Borel, Armand 1 1992 Linear algebraic groups. 2nd enlarged ed. Zbl 0726.20030Borel, Armand 837 1991 The work of Chevalley in Lie groups and algebraic groups. Zbl 0793.01013Borel, Armand 34 1991 Addendum to: Finiteness theorems for discrete subgroups of bounded covolume in semi-simple groups. Zbl 0712.11026Borel, Armand; Prasad, Gopal 7 1990 Generalized modular symbols. Zbl 0719.11033Ash, Avner; Borel, Armand 2 1990 Finiteness theorems for discrete subgroups of bounded covolume in semi- simple groups. Zbl 0707.11032Borel, Armand; Prasad, Gopal 51 1989 Valeurs de formes quadratiques aux points entiers. (Values of quadratic forms at integral points). Zbl 0654.10022Borel, Armand; Prasad, Gopal 4 1988 Algebraic \(\mathcal D\)-modules. Zbl 0642.32001 99 1987 On the set of discrete subgroups of bounded covolume in a semisimple group. Zbl 0658.22004Borel, A. 6 1987 Sous-groupes discrets de groupes p-adiques à covolume borné. (Discrete subgroups of p-adic groups with bounded covolume). Zbl 0646.22006Borel, Armand; Prasad, Gopal 1 1987 A vanishing theorem in relative Lie algebra cohomology. Zbl 0631.17006Borel, Armand 1 1987 Hermann Weyl, 1885-1985. Centenary lectures delivered by C. N. Yang, R. Penrose, A. Borel at the ETH Zürich. Zbl 0599.01014 1 1986 The \(L^ 2\)-cohomology of negatively curved Riemannian symmetric spaces. Zbl 0586.57022Borel, Armand 16 1985 On affine algebraic homogeneous spaces. Zbl 0554.14016Borel, Armand 8 1985 Cohomologie d’intersection et \(L^ 2\)-cohomologie de variétés arithmétiques de rang rationnel 2. (Intersection cohomology and \(L^ 2\)-cohomology of arithmetic varieties of rational rank 2). Zbl 0612.14018Borel, Armand; Casselman, William 7 1985 Intersection cohomology. (Notes of a Seminar on Intersection Homology at the University of Bern, Switzerland, Spring 1983). Zbl 0553.14002 28 1984 Linear algebraic groups. Zbl 0575.20037Borel, Armand 1 1984 On free subgroups of semi-simple groups. Zbl 0533.22009Borel, Armand 48 1983 \(L^ 2\)-cohomology of locally symmetric manifolds of finite volume. Zbl 0528.22012Borel, Armand; Casselman, William 35 1983 Laplacian and the discrete spectrum of an arithmetic group. Zbl 0572.22007Borel, Armand; Garland, H. 29 1983 Regularization theorems in Lie algebra cohomology. Applications. Zbl 0528.22010Borel, Armand 24 1983 \(L^ 2\)-cohomology and intersection cohomology of certain arithmetic varieties. Zbl 0541.14015Borel, Armand 11 1983 Œuvres. Collected papers. Vol. I: 1948-1958. Vol. II: 1959-1968. Vol. III: 1969-1982. Zbl 0537.22001Borel, Armand 1 1983 Commensurability classes and volumes of hyperbolic 3-manifolds. Zbl 0473.57003Borel, Armand 89 1981 Stable real cohomology of arithmetic groups. II. Zbl 0483.57026Borel, Armand 32 1981 Continuous cohomology, discrete subgroups, and representations of reductive groups. Zbl 0443.22010Borel, Armand; Wallach, N. 310 1980 Stable and \(L^ 2-\)cohomology of arithmetic groups. Zbl 0472.22002Borel, Armand 19 1980 Automorphic forms and automorphic representations. Zbl 0414.22020Borel, Armand; Jacquet, H. 77 1979 Automorphic L-functions. Zbl 0412.10017Borel, Armand 73 1979 Symmetric compact complex spaces. Zbl 0423.32015Borel, Armand 11 1979 Automorphic forms, representations and \(L\)-functions. Proceedings of the symposium in pure mathematics of the American Mathematical Society, held at Oregon State University, Corvallis, Oregon, July 11 – August 5, 1977. Zbl 0403.00003 7 1979 Automorphic forms, representations and \(L\)-functions. Proceedings of the symposium in pure mathematics of the American Mathematical Society, held at Oregon State University, Corvallis, Oregon, July 11 - August 5, 1977. Zbl 0403.00002 2 1979 On the development of Lie group theory. Zbl 0407.22009Borel, Armand 2 1979 Topological methods in algebraic geometry. Translation and appendix one by R.L.E. Schwarzenberger. Appendix two by A. Borel. 2nd, corr. printing of the 3rd ed. Zbl 0376.14001Hirzebruch, Friedrich 46 1978 Existence of discrete cocompact subgroups of reductive groups over local fields. Zbl 0385.14014Borel, Armand; Harder, G. 42 1978 Théoremes de structure et de conjugaison pour les groupes algébriques linéaires. Zbl 0395.20024Borel, Armand; Tits, Jacques 41 1978 Cohomologie de \(SL_n\) et valeurs de fonctions zeta aux points entiers. Zbl 0382.57027Borel, Armand 44 1977 Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup. Zbl 0334.22012Borel, Armand 110 1976 Cohomologie d’immeubles et de groupes S-arithmétiques. Zbl 0338.20055Borel, Armand; Serre, Jean-Pierre 60 1976 Cohomologie de sous-groupes discrets et représentations de groupes semi- simples. Zbl 0333.57023Borel, Armand 13 1976 Formes automorphes et séries de Dirichlet (d’apres R. P. Langlands). Zbl 0329.10019Borel, Armand 1 1976 Cohomology of arithmetic groups. Zbl 0338.20051Borel, Armand 5 1975 Cohomologie de certains groupes discrets et laplacien p-adique (d’apres H. Garland). Zbl 0376.22009Borel, Armand 4 1975 Linear representations of semi-simple algebraic groups. Zbl 0311.20022Borel, Armand 4 1975 Stable real cohomology of arithmetic groups. Zbl 0316.57026Borel, Armand 182 1974 Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault). Zbl 0274.22011Borel, Armand; Serre, Jean-Pierre 221 1973 Homomorphismes ”abstraits” de groupes algébriques simples. Zbl 0272.14013Borel, Armand; Tits, Jacques 172 1973 Seminar on algebraic groups and related finite groups. (Seminar po algebraiceskim gruppym. Sbornik statei.) Übersetzung aus dem Englischen von S. I. Gel’fand. Herausgegeben von A. A. Kirillov. Zbl 0272.00007Borel, Armand; Carter, R.; Curtis, C. W.; Iwahori, N.; Springer, T. A.; Steinberg, R. 2 1973 Complements à l’article: ”Groupes reductifs”. Zbl 0254.14018Borel, Armand; Tits, Jacques 87 1972 Some metric properties of arithmetic quotients o f symmetric spaces and an extension theorem. Zbl 0249.32018Borel, Armand 67 1972 Représentations de groupes localement compacts. Zbl 0242.22007Borel, Armand 22 1972 Cohomologie réelle stable de groupes S-arithmétiques classiques. (Real stable cohomology of S-arithmetic classical groups.). Zbl 0235.57015Borel, Armand 11 1972 Linear algebraic groups. (Linejnye algebraicheskie gruppy.) Übersetzung aus dem Englischen von A. E. Zalesskii. Herausgegeben von V. P. Platonov. Zbl 0235.22017Borel, Armand 7 1972 Éléments unipotents et sous-groupes paraboliques de groupes réductifs. I. Zbl 0257.20032Borel, Armand; Tits, Jacques 1 1972 Éléments unipotents et sous-groupes paraboliques de groupes réductifs. I. Zbl 0238.20055Borel, Armand; Tits, Jacques 145 1971 Cohomologie à supports compacts des immeubles de Bruhat-Tits; application à la cohomologie des groupes S-arithmétiques. Zbl 0263.14017Borel, Armand; Serre, Jean-Pierre 4 1971 Cohomologie a supports compacts des immeubles de Bruhat-Tits; applications a la cohomologie des groupes S-arithmetiques. Zbl 0263.14018Borel, Armand; Serre, Jean-Pierre 2 1971 Sous-groupes discrets de groupes semi-simples (d’après D. A. Kajdan et G. A. Margoulis). (Discrete subgroups of semi-simple groups (following P. A. Kajdan and G. A. Margoulis)). Zbl 0225.22017Borel, Armand 1 1971 Seminar on algebraic groups and related finite groups. Held at the Institute for Advanced Study, Princeton/N.J., 1968/69. Zbl 0192.36201Borel, Armand; Carter, R.; Curtis, C. W.; Iwahori, N.; Springer, T. A.; Steinberg, R. 52 1970 Properties and linear representations of Chevalley groups. Zbl 0197.30501Borel, Armand 34 1970 Adjonction de coins aux espaces symetriques; applications a la cohomologie des groupes arithmetiques. (Adjucntion of wedges to symmetric spaces; applications on the cohomology of arithmetic groups). Zbl 0221.14027Borel, Armand; Serre, Jean-Pierre 3 1970 Linear algebraic groups. Notes taken by Hyman Bass. Zbl 0186.33201Borel, Armand 250 1969 Introduction aux groupes arithmétiques. Zbl 0186.33202Borel, Armand 195 1969 Linear algebraic groups. Zbl 0206.49801Borel, Armand 132 1969 Injective endomorphisms of algebraic varieties. Zbl 0189.21402Borel, Armand 12 1969 Rationality properties of linear algebraic groups. II. Zbl 0211.53302Borel, Armand; Springer, T. A. 64 1968 Topics in the homology theory of fibre bundles. Lectures given at the University of Chicago, 1954. Notes by E. Halpern. Zbl 0158.20503Borel, Armand 48 1967 Uniqueness conditions for certain holomorphic mappings. Zbl 0145.31802Borel, Armand; Narasimhan, R. 20 1967 Sur une généralisation de la formule de Gauß-Bonnet. Zbl 0162.25405Borel, Armand 3 1967 Compactification of arithmetic quotients of bounded symmetric domains. Zbl 0154.08602Baily, W. L. jun.; Borel, Armand 267 1966 Density and maximality of arithmetic subgroups. Zbl 0158.03105Borel, Armand 58 1966 Seminar on complex multiplication. Seminar held at the Institute for Advanced Study, Princeton, N.J., 1957–58. Zbl 0147.03902Borel, Armand; Chowla, Sarvadaman; Herz, C. S.; Iwasawa, K.; Serre, Jean-Pierre 23 1966 Linear algebraic groups. Zbl 0205.50503Borel, Armand 23 1966 ...and 55 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,696 Authors 34 Biswas, Indranil 32 Borel, Armand 32 Kucharz, Wojciech 27 Ash, Avner 25 Röhrle, Gerhard E. 23 Schwermer, Joachim 20 Margulis, Grigoriĭ Aleksandrovich 20 Nguyễn Quôc Thăng 19 Dani, Shrikrishna Gopalrao 19 Grunewald, Fritz J. 18 Guralnick, Robert Michael 18 Vavilov, Nikolaĭ Aleksandrovich 17 Clozel, Laurent 17 Kono, Akira 16 Gunnells, Paul E. 16 Kazhdan, David A. 15 Gordeev, Nikolai L. 15 Larsen, Michael Jeffrey 15 Martin, Benjamin M. S. 15 Muić, Goran 15 Prasad, Gopal 15 Reid, Alan W. 15 Tits, Jacques 14 Einsiedler, Manfred Leopold 14 Flicker, Yuval Z. 14 Ji, Lizhen 14 Kunyavskiĭ, Boris Èmmanuilovich 14 Lubotzky, Alexander 14 Shalev, Aner 14 Wang, Shuping 13 Helminck, Aloysius G. 13 Korbaš, Július 13 Lusztig, George 13 Millson, John J. 13 Popov, Vladimir Leonidovich 13 Rapinchuk, Andrei S. 13 Venkatesh, Akshay 13 Yeung, Sai-Kee 12 Bate, Michael Edward 12 Benoist, Yves 12 Chen, Yu 12 Ciubotaru, Dan 12 Delorme, Patrick 12 Harris, Michael Howard 12 Linowitz, Benjamin 12 Oh, Hee 12 Rohlfs, Jürgen 12 Solleveld, Maarten 12 Springer, Tonny Albert 11 Belolipetsky, Mikhail V. 11 Bergeron, Nicolas 11 Brion, Michel 11 Deitmar, Anton 11 Duan, Haibao 11 Garibaldi, Skip 11 Gorodnik, Alexander 11 Harder, Günter 11 Johnson, Francis E. A. 11 Kramer, Linus 11 Lehrer, Gustav Isaac 11 Mohammadi, Amir 11 Parshall, Brian J. 11 Putcha, Mohan S. 11 Sarnak, Peter Clive 11 Savin, Gordan 11 Schmid, Wilfried 11 Schneider, Peter 11 Testerman, Donna M. 11 Tiep Pham Huu 10 Barbasch, Dan M. 10 Bunina, Elena Igor’evna 10 Caprace, Pierre-Emmanuel 10 Gelander, Tsachik 10 Grobner, Harald 10 Kudla, Stephen S. 10 Li, Jian-Shu 10 McConnell, Mark 10 McReynolds, David Ben 10 Pianzola, Arturo 10 Premet, Alexander A. 10 Raghunathan, Madabusi Santanam 10 Schultz, Reinhard E. 10 Stover, Matthew 10 Zimmer, Robert J. 9 Ban, Dubravka 9 Bochnak, Jacek 9 Borovik, Alexandre V. 9 Chernousov, Vladimir I. 9 Chrysikos, Ioannis 9 Draisma, Jan 9 Gille, Philippe 9 Hsiang, Wu-Yi 9 Jantzen, Chris 9 Kobayashi, Toshiyuki 9 McNinch, George J. 9 Merkur’ev, Aleksandr Sergeevich 9 Moy, Allen 9 Richardson, Roger Wolcott 9 Saxl, Jan 9 Shah, Riddhi ...and 4,596 more Authors all top 5 Cited in 355 Serials 382 Journal of Algebra 328 Transactions of the American Mathematical Society 324 Inventiones Mathematicae 287 Mathematische Annalen 222 Duke Mathematical Journal 208 Mathematische Zeitschrift 181 Advances in Mathematics 166 Proceedings of the American Mathematical Society 152 Compositio Mathematica 106 Annales de l’Institut Fourier 101 Journal of Pure and Applied Algebra 100 Israel Journal of Mathematics 94 Bulletin of the American Mathematical Society 89 Annales Scientifiques de l’École Normale Supérieure. 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Nouvelle Série 11 Journal of Group Theory ...and 255 more Serials all top 5 Cited in 54 Fields 1,652 Algebraic geometry (14-XX) 1,593 Group theory and generalizations (20-XX) 1,401 Topological groups, Lie groups (22-XX) 1,283 Number theory (11-XX) 907 Manifolds and cell complexes (57-XX) 725 Differential geometry (53-XX) 562 Algebraic topology (55-XX) 527 Several complex variables and analytic spaces (32-XX) 491 Nonassociative rings and algebras (17-XX) 278 Global analysis, analysis on manifolds (58-XX) 202 Associative rings and algebras (16-XX) 201 Dynamical systems and ergodic theory (37-XX) 193 \(K\)-theory (19-XX) 139 Quantum theory (81-XX) 138 Category theory; homological algebra (18-XX) 135 Commutative algebra (13-XX) 119 Combinatorics (05-XX) 117 Abstract harmonic analysis (43-XX) 97 Geometry (51-XX) 92 Field theory and polynomials (12-XX) 79 Linear and multilinear algebra; matrix theory (15-XX) 70 Functional analysis (46-XX) 66 Functions of a complex variable (30-XX) 53 Mathematical logic and foundations (03-XX) 48 General topology (54-XX) 45 Convex and discrete geometry (52-XX) 44 Partial differential equations (35-XX) 42 Measure and integration (28-XX) 40 Ordinary differential equations (34-XX) 37 Probability theory and stochastic processes (60-XX) 29 History and biography (01-XX) 28 Relativity and gravitational theory (83-XX) 26 Special functions (33-XX) 23 Computer science (68-XX) 21 General and overarching topics; collections (00-XX) 21 Order, lattices, ordered algebraic structures (06-XX) 21 Operator theory (47-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Potential theory (31-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Mechanics of particles and systems (70-XX) 9 Systems theory; control (93-XX) 9 Information and communication theory, circuits (94-XX) 7 Difference and functional equations (39-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Numerical analysis (65-XX) 5 Statistics (62-XX) 3 Integral transforms, operational calculus (44-XX) 3 Fluid mechanics (76-XX) 3 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 General algebraic systems (08-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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