×
Compute Distance To:
Author ID: borel.armand Recent zbMATH articles by "Borel, Armand"
Published as: Borel, Armand; Borel, A.
Further Spellings: Борель Арман
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Member of Collective: Bourbaki, Nicolas
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 Alexandre
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 J.
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 Floyd, E. E.
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 Tohoku 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

Publications by Year

Citations contained in zbMATH Open

154 Publications have been cited 7,972 times in 5,878 Documents Cited by Year
Linear algebraic groups. 2nd enlarged ed. Zbl 0726.20030
Borel, Armand
796
1991
Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts. Zbl 0052.40001
Borel, Armand
370
1953
Groupes reductifs. Zbl 0145.17402
Borel, Armand; Tits, Jacques
345
1965
Continuous cohomology, discrete subgroups, and representations of reductive groups. Zbl 0443.22010
Borel, Armand; Wallach, N.
301
1980
Arithmetic subgroups of algebraic groups. Zbl 0107.14804
Borel, Armand; Harish-Chandra
288
1962
Characteristic classes and homogeneous spaces. I-III. Zbl 0097.36401
Borel, Armand; Hirzebruch, Friedrich
285
1960
Compactification of arithmetic quotients of bounded symmetric domains. Zbl 0154.08602
Baily, W. L. jun.; Borel, Armand
250
1966
Linear algebraic groups. Notes taken by Hyman Bass. Zbl 0186.33201
Borel, Armand
248
1969
Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault). Zbl 0274.22011
Borel, Armand; Serre, Jean-Pierre
214
1973
Seminar on transformation groups. With contributions by G. Bredon, E. E. Floyd, D. Montgomery and R. Palais. Zbl 0091.37202
Borel, Armand
200
1960
Théoremes de finitude en cohomologie galoisienne. Zbl 0143.05901
Borel, Armand; Serre, Jean-Pierre
191
1964
Introduction aux groupes arithmétiques. Zbl 0186.33202
Borel, Armand
189
1969
Stable real cohomology of arithmetic groups. Zbl 0316.57026
Borel, Armand
172
1974
Continuous cohomology, discrete subgroups, and representations of reductive groups. 2nd ed. Zbl 0980.22015
Borel, A.; Wallach, N.
169
2000
Homomorphismes ”abstraits” de groupes algébriques simples. Zbl 0272.14013
Borel, Armand; Tits, Jacques
163
1973
Les sous-groupes fermes de rang maximum des groupes de Lie clos. Zbl 0034.30701
Borel, Armand; de Siebenthal, J.
152
1949
Compact Clifford-Klein forms of symmetric spaces. Zbl 0116.38603
Borel, Armand
151
1963
Éléments unipotents et sous-groupes paraboliques de groupes réductifs. I. Zbl 0238.20055
Borel, Armand; Tits, Jacques
135
1971
Linear algebraic groups. Zbl 0206.49801
Borel, Armand
132
1969
Kählerian coset spaces of semisimple Lie groups. Zbl 0058.16002
Borel, Armand
108
1954
Le théorème de Riemann-Roch. Zbl 0091.33004
Borel, Armand; Serre, Jean-Pierre
106
1958
Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup. Zbl 0334.22012
Borel, Armand
105
1976
La classe d’homologie fondamentale d’un espace analytique. Zbl 0102.38502
Borel, Armand; Haefliger, Andre
101
1961
Algebraic \(\mathcal D\)-modules. Zbl 0642.32001
96
1987
Density properties for certain subgroups of semi-simple groups without compact components. Zbl 0094.24901
Borel, Armand
91
1960
Commensurability classes and volumes of hyperbolic 3-manifolds. Zbl 0473.57003
Borel, Armand
85
1981
Complements à l’article: ”Groupes reductifs”. Zbl 0254.14018
Borel, Armand; Tits, Jacques
79
1972
Some finiteness properties of adele groups over number fields. Zbl 0135.08902
Borel, Armand
78
1963
Automorphic forms and automorphic representations. Zbl 0414.22020
Borel, Armand; Jacquet, H.
74
1979
Automorphic L-functions. Zbl 0412.10017
Borel, Armand
72
1979
Homology theory for locally compact spaces. Zbl 0116.40301
Borel, Armand; Moore, J. C.
67
1960
Über kompakte homogene Kählersche Mannigfaltigkeiten. Zbl 0111.18001
Borel, Armand; Remmert, Reinhold
66
1962
Groupes linéaires algébriques. Zbl 0070.26104
Borel, Armand
65
1956
Some remarks about Lie groups transitive on spheres and tori. Zbl 0034.01603
Borel, Armand
64
1949
Some metric properties of arithmetic quotients o f symmetric spaces and an extension theorem. Zbl 0249.32018
Borel, Armand
63
1972
Groupes de Lie et puissances réduites de Steenrood. Zbl 0050.39603
Borel, Armand; Serre, Jean-Pierre
63
1953
Compactifications of symmetric and locally symmetric spaces. Zbl 1100.22001
Borel, Armand; Ji, Lizhen
61
2006
Rationality properties of linear algebraic groups. II. Zbl 0211.53302
Borel, Armand; Springer, T. A.
60
1968
Sous-groupes commutatifs et torsion des groupes de Lie compacts connexes. Zbl 0109.26101
Borel, Armand
60
1961
Cohomologie d’immeubles et de groupes S-arithmétiques. Zbl 0338.20055
Borel, Armand; Serre, Jean-Pierre
59
1976
Sur l’homologie et la cohomologie des groupes de Lie compacts connexes. Zbl 0056.16401
Borel, Armand
59
1954
Le plan projectif des octaves et les sphères comme espaces homogenes. Zbl 0041.52203
Borel, Armand
57
1950
La cohomologie \(\mod 2\) de certains espaces homogènes. Zbl 0052.40301
Borel, Armand
57
1953
Density and maximality of arithmetic subgroups. Zbl 0158.03105
Borel, Armand
55
1966
Seminar on algebraic groups and related finite groups. Held at the Institute for Advanced Study, Princeton/N.J., 1968/69. Zbl 0192.36201
Borel, Armand; Carter, R.; Curtis, C. W.; Iwahori, N.; Springer, T. A.; Steinberg, R.
49
1970
On semi-simple automorphisms of Lie algebras. Zbl 0066.02401
Borel, Armand; Mostow, G. D.
49
1955
Topics in the homology theory of fibre bundles. Lectures given at the University of Chicago, 1954. Notes by E. Halpern. Zbl 0158.20503
Borel, Armand
47
1967
Topology of Lie groups and characteristic classes. Zbl 0066.02002
Borel, Armand
46
1955
On free subgroups of semi-simple groups. Zbl 0533.22009
Borel, Armand
45
1983
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 0376.14001
Hirzebruch, Friedrich
44
1978
Finiteness theorems for discrete subgroups of bounded covolume in semi- simple groups. Zbl 0707.11032
Borel, Armand; Prasad, Gopal
44
1989
Cohomologie de \(SL_n\) et valeurs de fonctions zeta aux points entiers. Zbl 0382.57027
Borel, Armand
43
1977
Existence of discrete cocompact subgroups of reductive groups over local fields. Zbl 0385.14014
Borel, Armand; Harder, G.
40
1978
Théoremes de structure et de conjugaison pour les groupes algébriques linéaires. Zbl 0395.20024
Borel, Armand; Tits, Jacques
38
1978
Almost commuting elements in compact Lie groups. Zbl 0993.22002
Borel, Armand; Friedman, Robert; Morgan, John W.
38
2002
The work of Chevalley in Lie groups and algebraic groups. Zbl 0793.01013
Borel, Armand
34
1991
\(L^ 2\)-cohomology of locally symmetric manifolds of finite volume. Zbl 0528.22012
Borel, Armand; Casselman, William
33
1983
Stable real cohomology of arithmetic groups. II. Zbl 0483.57026
Borel, Armand
32
1981
Properties and linear representations of Chevalley groups. Zbl 0197.30501
Borel, Armand
32
1970
Sur certaines sous-groupes des groupes de Lie compacts. Zbl 0051.01902
Borel, Armand; Serre, Jean-Pierre
30
1953
Intersection cohomology. (Notes of a Seminar on Intersection Homology at the University of Bern, Switzerland, Spring 1983). Zbl 0553.14002
27
1984
Laplacian and the discrete spectrum of an arithmetic group. Zbl 0572.22007
Borel, Armand; Garland, H.
26
1983
Regularization theorems in Lie algebra cohomology. Applications. Zbl 0528.22010
Borel, Armand
24
1983
Linear algebraic groups. Zbl 0205.50503
Borel, Armand
22
1966
Représentations de groupes localement compacts. Zbl 0242.22007
Borel, Armand
22
1972
Seminar on complex multiplication. Seminar held at the Institute for Advanced Study, Princeton, N.J., 1957–58. Zbl 0147.03902
Borel, Armand; Chowla, Sarvadaman; Herz, C. S.; Iwasawa, K.; Serre, Jean-Pierre
22
1966
Rationality properties of linear algebraic groups. Zbl 0199.06804
Borel, Armand; Springer, T. A.
21
1966
Les bouts des espaces homogènes de groupes de Lie. Zbl 0053.13002
Borel, Armand
21
1953
Uniqueness conditions for certain holomorphic mappings. Zbl 0145.31802
Borel, Armand; Narasimhan, R.
20
1967
Stable and \(L^ 2-\)cohomology of arithmetic groups. Zbl 0472.22002
Borel, Armand
18
1980
Introduction to automorphic forms. Zbl 0191.09601
Borel, Armand
18
1966
On the curvature tensor of the hermitian symmetric manifolds. Zbl 0100.36101
Borel, Armand
18
1960
Values of isotropic quadratic forms at \(S\)-integral points. Zbl 0777.11008
Borel, Armand; Prasad, Gopal
17
1992
Semisimple groups and Riemannian symmetric spaces. Zbl 0954.53002
Borel, Armand
17
1998
Groupes d’holonomie des variétés riemanniennes. Zbl 0046.39801
Borel, Armand; Lichnerowicz, André
17
1952
The \(L^ 2\)-cohomology of negatively curved Riemannian symmetric spaces. Zbl 0586.57022
Borel, Armand
15
1985
Reduction theory for arithmetic groups. Zbl 0213.47201
Borel, Armand
15
1966
On the cuspidal cohomology of \(S\)-arithmetic subgroups of reductive groups over number fields. Zbl 0853.11044
Borel, A.; Labesse, J.-P.; Schwermer, J.
14
1996
The Poincaré duality in generalized manifolds. Zbl 0142.40402
Borel, Armand
14
1958
Cohomologie de sous-groupes discrets et représentations de groupes semi- simples. Zbl 0333.57023
Borel, Armand
13
1976
Automorphic forms on \(\text{SL}_2(\mathbb R)\). Zbl 0912.11023
Borel, Armand
13
1997
\(L^ 2\)-cohomology and intersection cohomology of certain arithmetic varieties. Zbl 0541.14015
Borel, Armand
12
1983
Injective endomorphisms of algebraic varieties. Zbl 0189.21402
Borel, Armand
12
1969
Essays in the history of Lie groups and algebraic groups. Zbl 1087.01011
Borel, Armand
11
2001
Symmetric compact complex spaces. Zbl 0423.32015
Borel, Armand
11
1979
Epimorphic subgroups of linear algebraic groups. I. (Sous-groupes épimorphiques de groupes linéaires algébriques. I.) Zbl 0767.20017
Bien, Frédéric; Borel, Armand
10
1992
Class functions, conjugacy classes and commutators in semisimple Lie groups. Zbl 0872.22011
Borel, Armand
10
1997
The rank conjecture for number fields. Zbl 0841.19002
Borel, Armand; Yang, Jun
10
1994
Cohomologie réelle stable de groupes S-arithmétiques classiques. (Real stable cohomology of S-arithmetic classical groups.). Zbl 0235.57015
Borel, Armand
10
1972
Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014
Atiyah, 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 0048.06401
Borel, Armand
9
1952
The Betti numbers of the exceptional groups. Zbl 0064.25902
Borel, Armand; Chevalley, Claude
9
1955
Cohomologie des espaces localement compacts d’apres J. Leray. Zbl 0126.38803
Borel, Armand
9
1964
Lie groups and linear algebraic groups. I: Complex and real groups. Zbl 1133.20001
Borel, Armand
8
2006
Impossibilite de fibrer une sphère par un produit de sphères. Zbl 0039.19201
Borel, Armand
8
1950
Détermination des \(p\)-puissances réduites de Steenrod dans la cohomologie des groupes classiques. Applications. Zbl 0045.44302
Borel, Armand; Serre, Jean-Pierre
8
1951
Sur la torsion des groupes de Lie. Zbl 0075.24105
Borel, Armand
8
1956
Some properties of adele groups attached to algebraic groups. Zbl 0119.37002
Borel, Armand
8
1961
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 0612.14018
Borel, Armand; Casselman, William
7
1985
On affine algebraic homogeneous spaces. Zbl 0554.14016
Borel, Armand
7
1985
Introduction to arithmetic groups. Translated from the French by Lam Laurent Pham. Translation edited and with a preface by Dave Witte Morris. Zbl 1432.22016
Borel, Armand
3
2019
Compactifications of symmetric spaces. Zbl 1110.53036
Borel, Armand; Ji, Lizhen
2
2007
Automorphic forms on reductive groups. Zbl 1137.11032
Borel, Armand
2
2007
Compactifications of symmetric and locally symmetric spaces. Zbl 1100.22001
Borel, Armand; Ji, Lizhen
61
2006
Lie groups and linear algebraic groups. I: Complex and real groups. Zbl 1133.20001
Borel, Armand
8
2006
Compactifications of locally symmetric spaces. Zbl 1122.22005
Borel, Armand; Ji, Lizhen
5
2006
Compactifications of symmetric and locally symmetric spaces. Zbl 1088.53034
Borel, Armand; Ji, Lizhen
2
2005
Almost commuting elements in compact Lie groups. Zbl 0993.22002
Borel, Armand; Friedman, Robert; Morgan, John W.
38
2002
Essays in the history of Lie groups and algebraic groups. Zbl 1087.01011
Borel, Armand
11
2001
Continuous cohomology, discrete subgroups, and representations of reductive groups. 2nd ed. Zbl 0980.22015
Borel, A.; Wallach, N.
169
2000
Some recollections of Harish-Chandra. Zbl 0959.01004
Borel, Armand
1
2000
Jean Leray (1906–1998). Zbl 0977.01032
Borel, Armand; Henkin, Gennadi M.; Lax, Peter D.
1
2000
Semisimple groups and Riemannian symmetric spaces. Zbl 0954.53002
Borel, Armand
17
1998
Twenty-five years with Nicolas Bourbaki, 1949-1973. Zbl 0908.01009
Borel, Armand
2
1998
Automorphic forms on \(\text{SL}_2(\mathbb R)\). Zbl 0912.11023
Borel, Armand
13
1997
Class functions, conjugacy classes and commutators in semisimple Lie groups. Zbl 0872.22011
Borel, Armand
10
1997
On the cuspidal cohomology of \(S\)-arithmetic subgroups of reductive groups over number fields. Zbl 0853.11044
Borel, A.; Labesse, J.-P.; Schwermer, J.
14
1996
Rationally connected homogeneous spaces. Zbl 0891.14017
Bien, Frédéric; Borel, Armand; Kollár, János
3
1996
Values of indefinite quadratic forms at integral points and flows on spaces of lattices. Zbl 0852.22008
Borel, Armand
6
1995
Values of zeta-functions at integers, cohomology and polylogarithms. Zbl 0897.11035
Borel, Armand
1
1995
The rank conjecture for number fields. Zbl 0841.19002
Borel, 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 0803.01014
Atiyah, 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 0832.55005
Borel, Armand
2
1994
Values of isotropic quadratic forms at \(S\)-integral points. Zbl 0777.11008
Borel, Armand; Prasad, Gopal
17
1992
Epimorphic subgroups of linear algebraic groups. I. (Sous-groupes épimorphiques de groupes linéaires algébriques. I.) Zbl 0767.20017
Bien, Frédéric; Borel, Armand
10
1992
Epimorphic subgroups of linear algebraic groups. II. (Sous-groupes épimorphiques de groupes linéaires algébriques. II.) Zbl 0780.20028
Bien, Frédéric; Borel, Armand
6
1992
Deane Montgomery (1909–1992). Zbl 1194.01066
Borel, Armand
1
1992
Linear algebraic groups. 2nd enlarged ed. Zbl 0726.20030
Borel, Armand
796
1991
The work of Chevalley in Lie groups and algebraic groups. Zbl 0793.01013
Borel, Armand
34
1991
Addendum to: Finiteness theorems for discrete subgroups of bounded covolume in semi-simple groups. Zbl 0712.11026
Borel, Armand; Prasad, Gopal
6
1990
Generalized modular symbols. Zbl 0719.11033
Ash, Avner; Borel, Armand
2
1990
Finiteness theorems for discrete subgroups of bounded covolume in semi- simple groups. Zbl 0707.11032
Borel, Armand; Prasad, Gopal
44
1989
Valeurs de formes quadratiques aux points entiers. (Values of quadratic forms at integral points). Zbl 0654.10022
Borel, Armand; Prasad, Gopal
4
1988
Algebraic \(\mathcal D\)-modules. Zbl 0642.32001
96
1987
On the set of discrete subgroups of bounded covolume in a semisimple group. Zbl 0658.22004
Borel, A.
6
1987
A vanishing theorem in relative Lie algebra cohomology. Zbl 0631.17006
Borel, Armand
1
1987
Sous-groupes discrets de groupes p-adiques à covolume borné. (Discrete subgroups of p-adic groups with bounded covolume). Zbl 0646.22006
Borel, Armand; Prasad, Gopal
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 0586.57022
Borel, Armand
15
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 0612.14018
Borel, Armand; Casselman, William
7
1985
On affine algebraic homogeneous spaces. Zbl 0554.14016
Borel, Armand
7
1985
Intersection cohomology. (Notes of a Seminar on Intersection Homology at the University of Bern, Switzerland, Spring 1983). Zbl 0553.14002
27
1984
Linear algebraic groups. Zbl 0575.20037
Borel, Armand
1
1984
On free subgroups of semi-simple groups. Zbl 0533.22009
Borel, Armand
45
1983
\(L^ 2\)-cohomology of locally symmetric manifolds of finite volume. Zbl 0528.22012
Borel, Armand; Casselman, William
33
1983
Laplacian and the discrete spectrum of an arithmetic group. Zbl 0572.22007
Borel, Armand; Garland, H.
26
1983
Regularization theorems in Lie algebra cohomology. Applications. Zbl 0528.22010
Borel, Armand
24
1983
\(L^ 2\)-cohomology and intersection cohomology of certain arithmetic varieties. Zbl 0541.14015
Borel, Armand
12
1983
Œuvres. Collected papers. Vol. I: 1948-1958. Vol. II: 1959-1968. Vol. III: 1969-1982. Zbl 0537.22001
Borel, Armand
1
1983
Commensurability classes and volumes of hyperbolic 3-manifolds. Zbl 0473.57003
Borel, Armand
85
1981
Stable real cohomology of arithmetic groups. II. Zbl 0483.57026
Borel, Armand
32
1981
Continuous cohomology, discrete subgroups, and representations of reductive groups. Zbl 0443.22010
Borel, Armand; Wallach, N.
301
1980
Stable and \(L^ 2-\)cohomology of arithmetic groups. Zbl 0472.22002
Borel, Armand
18
1980
Automorphic forms and automorphic representations. Zbl 0414.22020
Borel, Armand; Jacquet, H.
74
1979
Automorphic L-functions. Zbl 0412.10017
Borel, Armand
72
1979
Symmetric compact complex spaces. Zbl 0423.32015
Borel, 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
5
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 0407.22009
Borel, 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 0376.14001
Hirzebruch, Friedrich
44
1978
Existence of discrete cocompact subgroups of reductive groups over local fields. Zbl 0385.14014
Borel, Armand; Harder, G.
40
1978
Théoremes de structure et de conjugaison pour les groupes algébriques linéaires. Zbl 0395.20024
Borel, Armand; Tits, Jacques
38
1978
Cohomologie de \(SL_n\) et valeurs de fonctions zeta aux points entiers. Zbl 0382.57027
Borel, Armand
43
1977
Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup. Zbl 0334.22012
Borel, Armand
105
1976
Cohomologie d’immeubles et de groupes S-arithmétiques. Zbl 0338.20055
Borel, Armand; Serre, Jean-Pierre
59
1976
Cohomologie de sous-groupes discrets et représentations de groupes semi- simples. Zbl 0333.57023
Borel, Armand
13
1976
Formes automorphes et séries de Dirichlet (d’apres R. P. Langlands). Zbl 0329.10019
Borel, Armand
1
1976
Cohomology of arithmetic groups. Zbl 0338.20051
Borel, Armand
5
1975
Cohomologie de certains groupes discrets et laplacien p-adique (d’apres H. Garland). Zbl 0376.22009
Borel, Armand
4
1975
Linear representations of semi-simple algebraic groups. Zbl 0311.20022
Borel, Armand
4
1975
Stable real cohomology of arithmetic groups. Zbl 0316.57026
Borel, Armand
172
1974
Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault). Zbl 0274.22011
Borel, Armand; Serre, Jean-Pierre
214
1973
Homomorphismes ”abstraits” de groupes algébriques simples. Zbl 0272.14013
Borel, Armand; Tits, Jacques
163
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 0272.00007
Borel, Armand; Carter, R.; Curtis, C. W.; Iwahori, N.; Springer, T. A.; Steinberg, R.
2
1973
Complements à l’article: ”Groupes reductifs”. Zbl 0254.14018
Borel, Armand; Tits, Jacques
79
1972
Some metric properties of arithmetic quotients o f symmetric spaces and an extension theorem. Zbl 0249.32018
Borel, Armand
63
1972
Représentations de groupes localement compacts. Zbl 0242.22007
Borel, Armand
22
1972
Cohomologie réelle stable de groupes S-arithmétiques classiques. (Real stable cohomology of S-arithmetic classical groups.). Zbl 0235.57015
Borel, Armand
10
1972
Linear algebraic groups. (Linejnye algebraicheskie gruppy.) Übersetzung aus dem Englischen von A. E. Zalesskii. Herausgegeben von V. P. Platonov. Zbl 0235.22017
Borel, Armand
7
1972
Éléments unipotents et sous-groupes paraboliques de groupes réductifs. I. Zbl 0257.20032
Borel, Armand; Tits, Jacques
1
1972
Éléments unipotents et sous-groupes paraboliques de groupes réductifs. I. Zbl 0238.20055
Borel, Armand; Tits, Jacques
135
1971
Cohomologie à supports compacts des immeubles de Bruhat-Tits; application à la cohomologie des groupes S-arithmétiques. Zbl 0263.14017
Borel, Armand; Serre, Jean-Pierre
5
1971
Cohomologie a supports compacts des immeubles de Bruhat-Tits; applications a la cohomologie des groupes S-arithmetiques. Zbl 0263.14018
Borel, 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 0225.22017
Borel, Armand
1
1971
Seminar on algebraic groups and related finite groups. Held at the Institute for Advanced Study, Princeton/N.J., 1968/69. Zbl 0192.36201
Borel, Armand; Carter, R.; Curtis, C. W.; Iwahori, N.; Springer, T. A.; Steinberg, R.
49
1970
Properties and linear representations of Chevalley groups. Zbl 0197.30501
Borel, Armand
32
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 0221.14027
Borel, Armand; Serre, Jean-Pierre
3
1970
Linear algebraic groups. Notes taken by Hyman Bass. Zbl 0186.33201
Borel, Armand
248
1969
Introduction aux groupes arithmétiques. Zbl 0186.33202
Borel, Armand
189
1969
Linear algebraic groups. Zbl 0206.49801
Borel, Armand
132
1969
Injective endomorphisms of algebraic varieties. Zbl 0189.21402
Borel, Armand
12
1969
Rationality properties of linear algebraic groups. II. Zbl 0211.53302
Borel, Armand; Springer, T. A.
60
1968
Topics in the homology theory of fibre bundles. Lectures given at the University of Chicago, 1954. Notes by E. Halpern. Zbl 0158.20503
Borel, Armand
47
1967
Uniqueness conditions for certain holomorphic mappings. Zbl 0145.31802
Borel, Armand; Narasimhan, R.
20
1967
Sur une généralisation de la formule de Gauß-Bonnet. Zbl 0162.25405
Borel, Armand
3
1967
Compactification of arithmetic quotients of bounded symmetric domains. Zbl 0154.08602
Baily, W. L. jun.; Borel, Armand
250
1966
Density and maximality of arithmetic subgroups. Zbl 0158.03105
Borel, Armand
55
1966
Linear algebraic groups. Zbl 0205.50503
Borel, Armand
22
1966
Seminar on complex multiplication. Seminar held at the Institute for Advanced Study, Princeton, N.J., 1957–58. Zbl 0147.03902
Borel, Armand; Chowla, Sarvadaman; Herz, C. S.; Iwasawa, K.; Serre, Jean-Pierre
22
1966
Rationality properties of linear algebraic groups. Zbl 0199.06804
Borel, Armand; Springer, T. A.
21
1966
...and 54 more Documents
all top 5

Cited by 4,509 Authors

34 Biswas, Indranil
32 Borel, Armand
32 Kucharz, Wojciech
26 Ash, Avner
25 Röhrle, Gerhard E.
22 Schwermer, Joachim
20 Nguyễn Quôc Thăng
19 Dani, Shrikrishna Gopalrao
19 Grunewald, Fritz J.
19 Margulis, Grigoriĭ Aleksandrovich
18 Vavilov, Nikolaĭ Aleksandrovich
17 Guralnick, Robert Michael
17 Kono, Akira
16 Clozel, Laurent
16 Gunnells, Paul E.
16 Kazhdan, David A.
15 Larsen, Michael Jeffrey
15 Martin, Benjamin M. S.
15 Muić, Goran
15 Prasad, Gopal
15 Tits, Jacques
14 Flicker, Yuval Z.
14 Gordeev, Nikolai L.
14 Ji, Lizhen
14 Kunyavskiĭ, Boris Èmmanuilovich
14 Shalev, Aner
14 Wang, Shuping
13 Einsiedler, Manfred Leopold
13 Helminck, Aloysius G.
13 Korbaš, Július
13 Lubotzky, Alexander
13 Lusztig, George
13 Millson, John J.
13 Popov, Vladimir Leonidovich
13 Rapinchuk, Andrei S.
12 Bate, Michael Edward
12 Ciubotaru, Dan
12 Delorme, Patrick
12 Harris, Michael Howard
12 Linowitz, Benjamin
12 Oh, Hee
12 Reid, Alan W.
12 Rohlfs, Jürgen
12 Springer, Tonny Albert
12 Venkatesh, Akshay
12 Yeung, Sai-Kee
11 Benoist, Yves
11 Bergeron, Nicolas
11 Brion, Michel
11 Deitmar, Anton
11 Duan, Haibao
11 Gorodnik, Alexander
11 Harder, Günter
11 Johnson, Francis E. A.
11 Kramer, Linus
11 Lehrer, Gustav Isaac
11 Parshall, Brian J.
11 Putcha, Mohan S.
11 Sarnak, Peter Clive
11 Savin, Gordan
11 Schmid, Wilfried
11 Schneider, Peter
11 Solleveld, Maarten
11 Testerman, Donna M.
11 Tiep Pham Huu
10 Barbasch, Dan M.
10 Belolipetsky, Mikhail V.
10 Bunina, Elena Igor’evna
10 Caprace, Pierre-Emmanuel
10 Garibaldi, Skip
10 Li, Jian-Shu
10 McConnell, Mark
10 McReynolds, David Ben
10 Mohammadi, Amir
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 Grobner, Harald
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
9 Snow, Dennis M.
9 Sun, Binyong
9 Tange, Rudolf
9 Weisfeiler, Boris
...and 4,409 more Authors
all top 5

Cited in 341 Serials

371 Journal of Algebra
325 Transactions of the American Mathematical Society
321 Inventiones Mathematicae
282 Mathematische Annalen
221 Duke Mathematical Journal
201 Mathematische Zeitschrift
175 Advances in Mathematics
163 Proceedings of the American Mathematical Society
151 Compositio Mathematica
104 Annales de l’Institut Fourier
97 Israel Journal of Mathematics
97 Journal of Pure and Applied Algebra
94 Bulletin of the American Mathematical Society
88 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
81 Transformation Groups
76 Manuscripta Mathematica
68 Communications in Algebra
68 Geometriae Dedicata
68 Journal of Number Theory
68 Bulletin of the American Mathematical Society. New Series
61 Publications Mathématiques
58 Topology and its Applications
58 Journal of the American Mathematical Society
53 Journal of Functional Analysis
52 Bulletin de la Société Mathématique de France
52 Tohoku Mathematical Journal. Second Series
47 Annals of Mathematics. Second Series
46 Algebraic & Geometric Topology
45 Representation Theory
44 Journal für die Reine und Angewandte Mathematik
43 Archiv der Mathematik
42 Communications in Mathematical Physics
38 Annals of Global Analysis and Geometry
37 Journal of Geometry and Physics
37 Nagoya Mathematical Journal
36 Acta Mathematica
36 Journal of the Institute of Mathematics of Jussieu
34 Journal of Mathematical Sciences (New York)
34 Selecta Mathematica. New Series
34 Geometry & Topology
34 Journal of the European Mathematical Society (JEMS)
33 Mathematical Proceedings of the Cambridge Philosophical Society
33 Journal of Algebraic Geometry
32 Annali di Matematica Pura ed Applicata. Serie Quarta
32 Journal of Soviet Mathematics
32 Publications of the Research Institute for Mathematical Sciences, Kyoto University
32 Differential Geometry and its Applications
32 Comptes Rendus. Mathématique. Académie des Sciences, Paris
31 Geometric and Functional Analysis. GAFA
29 Proceedings of the Japan Academy. Series A
28 International Journal of Mathematics
27 Indagationes Mathematicae. New Series
26 Journal of Mathematical Physics
26 Functional Analysis and its Applications
25 Mathematical Notes
23 Memoirs of the American Mathematical Society
23 Forum Mathematicum
23 The Journal of Geometric Analysis
23 Linear Algebra and its Applications
23 Forum of Mathematics, Sigma
21 Siberian Mathematical Journal
21 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
20 St. Petersburg Mathematical Journal
19 Monatshefte für Mathematik
19 Journal of High Energy Physics
18 Osaka Journal of Mathematics
17 Journal de Théorie des Nombres de Bordeaux
17 Documenta Mathematica
16 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
16 \(K\)-Theory
16 Groups, Geometry, and Dynamics
15 Journal d’Analyse Mathématique
15 Glasgow Mathematical Journal
15 Proceedings of the Edinburgh Mathematical Society. Series II
15 Ergodic Theory and Dynamical Systems
15 Expositiones Mathematicae
15 Algebras and Representation Theory
14 Bulletin of the Australian Mathematical Society
14 Journal of Lie Theory
13 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
13 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
13 Journal of Topology and Analysis
12 Nuclear Physics. B
12 Journal of Symbolic Computation
12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
12 Journal of Algebraic Combinatorics
12 Bulletin des Sciences Mathématiques
12 Acta Mathematica Sinica. English Series
12 Proceedings of the Steklov Institute of Mathematics
12 Journal of Topology
11 Algebra and Logic
11 Journal of the Mathematical Society of Japan
11 Mémoires de la Société Mathématique de France. Nouvelle Série
11 Journal of Group Theory
10 Linear and Multilinear Algebra
10 Commentarii Mathematici Helvetici
10 Michigan Mathematical Journal
10 Rendiconti del Seminario Matematico della Università di Padova
10 Acta Applicandae Mathematicae
10 Experimental Mathematics
...and 241 more Serials
all top 5

Cited in 54 Fields

1,562 Algebraic geometry (14-XX)
1,515 Group theory and generalizations (20-XX)
1,349 Topological groups, Lie groups (22-XX)
1,222 Number theory (11-XX)
875 Manifolds and cell complexes (57-XX)
698 Differential geometry (53-XX)
549 Algebraic topology (55-XX)
505 Several complex variables and analytic spaces (32-XX)
470 Nonassociative rings and algebras (17-XX)
275 Global analysis, analysis on manifolds (58-XX)
196 Associative rings and algebras (16-XX)
189 Dynamical systems and ergodic theory (37-XX)
182 \(K\)-theory (19-XX)
134 Commutative algebra (13-XX)
134 Category theory; homological algebra (18-XX)
127 Quantum theory (81-XX)
116 Combinatorics (05-XX)
116 Abstract harmonic analysis (43-XX)
93 Geometry (51-XX)
90 Field theory and polynomials (12-XX)
78 Linear and multilinear algebra; matrix theory (15-XX)
68 Functional analysis (46-XX)
64 Functions of a complex variable (30-XX)
51 Mathematical logic and foundations (03-XX)
47 General topology (54-XX)
43 Partial differential equations (35-XX)
42 Measure and integration (28-XX)
42 Convex and discrete geometry (52-XX)
39 Ordinary differential equations (34-XX)
36 Probability theory and stochastic processes (60-XX)
29 History and biography (01-XX)
28 Relativity and gravitational theory (83-XX)
25 Special functions (33-XX)
22 Computer science (68-XX)
20 Order, lattices, ordered algebraic structures (06-XX)
20 Operator theory (47-XX)
16 General and overarching topics; collections (00-XX)
11 Statistical mechanics, structure of matter (82-XX)
9 Systems theory; control (93-XX)
8 Potential theory (31-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Mechanics of particles and systems (70-XX)
8 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)
4 Statistics (62-XX)
3 Integral transforms, operational calculus (44-XX)
3 Fluid mechanics (76-XX)
1 General algebraic systems (08-XX)
1 Mechanics of deformable solids (74-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-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.