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Borel, Armand

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Author ID: borel.armand Recent zbMATH articles by "Borel, Armand"
Published as: Borel, A.; Borel, Armand
External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor
Member of Collective: Bourbaki, Nicolas
Documents Indexed: 196 Publications since 1948, including 33 Books
Biographic References: 26 Publications
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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 History of Mathematics (Providence)
1 Mathematical Surveys and Monographs
1 Progress in Mathematics
1 University Lecture Series
1 Anais da Academia Brasileira de Ciências
1 Modern Birkhäuser Classics

Publications by Year

Citations contained in zbMATH

152 Publications have been cited 7,813 times in 5,770 Documents Cited by Year
Linear algebraic groups. 2nd enlarged ed. Zbl 0726.20030
Borel, Armand
768
1991
Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts. Zbl 0052.40001
Borel, Armand
353
1953
Groupes reductifs. Zbl 0145.17402
Borel, Armand; Tits, Jacques
330
1965
Continuous cohomology, discrete subgroups, and representations of reductive groups. Zbl 0443.22010
Borel, Armand; Wallach, N.
313
1980
Characteristic classes and homogeneous spaces. I-III. Zbl 0097.36401
Borel, Armand; Hirzebruch, Friedrich
282
1960
Arithmetic subgroups of algebraic groups. Zbl 0107.14804
Borel, Armand; Harish-Chandra
270
1962
Linear algebraic groups. Zbl 0186.33201
Borel, Armand
252
1969
Compactification of arithmetic quotients of bounded symmetric domains. Zbl 0154.08602
Baily, W. L. jun.; Borel, Armand
238
1966
Seminar on transformation groups. With contributions by G. Bredon, E. E. Floyd, D. Montgomery and R. Palais. Zbl 0091.37202
Borel, Armand
230
1960
Théoremes de finitude en cohomologie galoisienne. Zbl 0143.05901
Borel, Armand; Serre, Jean-Pierre
220
1964
Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault). Zbl 0274.22011
Borel, Armand; Serre, Jean-Pierre
205
1973
Introduction aux groupes arithmétiques. Zbl 0186.33202
Borel, Armand
182
1969
Stable real cohomology of arithmetic groups. Zbl 0316.57026
Borel, Armand
163
1974
Homomorphismes ”abstraits” de groupes algébriques simples. Zbl 0272.14013
Borel, Armand; Tits, Jacques
160
1973
Continuous cohomology, discrete subgroups, and representations of reductive groups. 2nd ed. Zbl 0980.22015
Borel, A.; Wallach, N.
152
2000
Les sous-groupes fermes de rang maximum des groupes de Lie clos. Zbl 0034.30701
Borel, Armand; de Siebenthal, J.
148
1949
Compact Clifford-Klein forms of symmetric spaces. Zbl 0116.38603
Borel, Armand
146
1963
Linear algebraic groups. Zbl 0206.49801
Borel, Armand
137
1969
Éléments unipotents et sous-groupes paraboliques de groupes réductifs. I. Zbl 0238.20055
Borel, Armand; Tits, Jacques
129
1971
Kählerian coset spaces of semisimple Lie groups. Zbl 0058.16002
Borel, Armand
105
1954
Le théorème de Riemann-Roch. Zbl 0091.33004
Borel, Armand; Serre, Jean-Pierre
103
1958
Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup. Zbl 0334.22012
Borel, Armand
102
1976
Algebraic \(\mathcal D\)-modules. Zbl 0642.32001
Borel, A. (ed.)
101
1987
La classe d’homologie fondamentale d’un espace analytique. Zbl 0102.38502
Borel, Armand; Haefliger, Andre
99
1961
Density properties for certain subgroups of semi-simple groups without compact components. Zbl 0094.24901
Borel, Armand
87
1960
Commensurability classes and volumes of hyperbolic 3-manifolds. Zbl 0473.57003
Borel, Armand
81
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.
72
1979
Automorphic L-functions. Zbl 0412.10017
Borel, Armand
72
1979
Groupes linéaires algébriques. Zbl 0070.26104
Borel, Armand
65
1956
Homology theory for locally compact spaces. Zbl 0116.40301
Borel, Armand; Moore, J. C.
64
1960
Über kompakte homogene Kählersche Mannigfaltigkeiten. Zbl 0111.18001
Borel, Armand; Remmert, Reinhold
61
1962
Groupes de Lie et puissances réduites de Steenrood. Zbl 0050.39603
Borel, Armand; Serre, Jean-Pierre
60
1953
Some metric properties of arithmetic quotients o f symmetric spaces and an extension theorem. Zbl 0249.32018
Borel, Armand
59
1972
Rationality properties of linear algebraic groups. II. Zbl 0211.53302
Borel, Armand; Springer, T. A.
59
1968
Sous-groupes commutatifs et torsion des groupes de Lie compacts connexes. Zbl 0109.26101
Borel, Armand
59
1961
La cohomologie \(\mod 2\) de certains espaces homogènes. Zbl 0052.40301
Borel, Armand
57
1953
Some remarks about Lie groups transitive on spheres and tori. Zbl 0034.01603
Borel, Armand
57
1949
Cohomologie d’immeubles et de groupes S-arithmétiques. Zbl 0338.20055
Borel, Armand; Serre, Jean-Pierre
56
1976
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.
56
1970
Sur l’homologie et la cohomologie des groupes de Lie compacts connexes. Zbl 0056.16401
Borel, Armand
56
1954
Le plan projectif des octaves et les sphères comme espaces homogenes. Zbl 0041.52203
Borel, Armand
55
1950
Compactifications of symmetric and locally symmetric spaces. Zbl 1100.22001
Borel, Armand; Ji, Lizhen
52
2006
Density and maximality of arithmetic subgroups. Zbl 0158.03105
Borel, Armand
51
1966
On semi-simple automorphisms of Lie algebras. Zbl 0066.02401
Borel, Armand; Mostow, G. D.
47
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
46
1967
Finiteness theorems for discrete subgroups of bounded covolume in semi- simple groups. Zbl 0707.11032
Borel, Armand; Prasad, Gopal
43
1989
Théoremes de structure et de conjugaison pour les groupes algébriques linéaires. Zbl 0395.20024
Borel, Armand; Tits, Jacques
43
1978
Topology of Lie groups and characteristic classes. Zbl 0066.02002
Borel, Armand
43
1955
On free subgroups of semi-simple groups. Zbl 0533.22009
Borel, Armand
40
1983
Existence of discrete cocompact subgroups of reductive groups over local fields. Zbl 0385.14014
Borel, Armand; Harder, G.
39
1978
Cohomologie de \(SL_n\) et valeurs de fonctions zeta aux points entiers. Zbl 0382.57027
Borel, Armand
39
1977
Properties and linear representations of Chevalley groups. Zbl 0197.30501
Borel, Armand
38
1970
The work of Chevalley in Lie groups and algebraic groups. Zbl 0793.01013
Borel, Armand
35
1991
Intersection cohomology. (Notes of a Seminar on Intersection Homology at the University of Bern, Switzerland, Spring 1983). Zbl 0553.14002
Borel, Armand (ed.)
35
1984
Almost commuting elements in compact Lie groups. Zbl 0993.22002
Borel, Armand; Friedman, Robert; Morgan, John W.
34
2002
Stable real cohomology of arithmetic groups. II. Zbl 0483.57026
Borel, Armand
33
1981
\(L^ 2\)-cohomology of locally symmetric manifolds of finite volume. Zbl 0528.22012
Borel, Armand; Casselman, William
32
1983
Sur certaines sous-groupes des groupes de Lie compacts. Zbl 0051.01902
Borel, Armand; Serre, Jean-Pierre
29
1953
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
28
1966
Laplacian and the discrete spectrum of an arithmetic group. Zbl 0572.22007
Borel, Armand; Garland, H.
26
1983
Linear algebraic groups. Zbl 0205.50503
Borel, Armand
25
1966
Regularization theorems in Lie algebra cohomology. Applications. Zbl 0528.22010
Borel, Armand
24
1983
Représentations de groupes localement compacts. Zbl 0242.22007
Borel, Armand
22
1972
Introduction to automorphic forms. Zbl 0191.09601
Borel, Armand
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
20
1953
Uniqueness conditions for certain holomorphic mappings. Zbl 0145.31802
Borel, Armand; Narasimhan, R.
19
1967
Stable and \(L^ 2-\)cohomology of arithmetic groups. Zbl 0472.22002
Borel, Armand
18
1980
On the curvature tensor of the hermitian symmetric manifolds. Zbl 0100.36101
Borel, Armand
18
1960
Semisimple groups and Riemannian symmetric spaces. Zbl 0954.53002
Borel, Armand
16
1998
Automorphic forms on \(\text{SL}_2(\mathbb R)\). Zbl 0912.11023
Borel, Armand
16
1997
The \(L^ 2\)-cohomology of negatively curved Riemannian symmetric spaces. Zbl 0586.57022
Borel, Armand
16
1985
Reduction theory for arithmetic groups. Zbl 0213.47201
Borel, Armand
16
1966
Groupes d’holonomie des variétés riemanniennes. Zbl 0046.39801
Borel, Armand; Lichnerowicz, André
16
1952
Values of isotropic quadratic forms at \(S\)-integral points. Zbl 0777.11008
Borel, Armand; Prasad, Gopal
14
1992
The Poincaré duality in generalized manifolds. Zbl 0142.40402
Borel, Armand
14
1958
On the cuspidal cohomology of \(S\)-arithmetic subgroups of reductive groups over number fields. Zbl 0853.11044
Borel, A.; Labesse, J.-P.; Schwermer, J.
13
1996
Cohomologie de sous-groupes discrets et représentations de groupes semi- simples. Zbl 0333.57023
Borel, Armand
13
1976
Injective endomorphisms of algebraic varieties. Zbl 0189.21402
Borel, Armand
13
1969
Class functions, conjugacy classes and commutators in semisimple Lie groups. Zbl 0872.22011
Borel, Armand
12
1997
\(L^ 2\)-cohomology and intersection cohomology of certain arithmetic varieties. Zbl 0541.14015
Borel, Armand
11
1983
Symmetric compact complex spaces. Zbl 0423.32015
Borel, Armand
11
1979
Cohomologie réelle stable de groupes S-arithmétiques classiques. (Real stable cohomology of S-arithmetic classical groups.). Zbl 0235.57015
Borel, Armand
11
1972
Essays in the history of Lie groups and algebraic groups. Zbl 1087.01011
Borel, Armand
10
2001
Epimorphic subgroups of linear algebraic groups. I. Zbl 0767.20017
Bien, Frédéric; Borel, Armand
10
1992
Some properties of adele groups attached to algebraic groups. Zbl 0119.37002
Borel, Armand
10
1961
The rank conjecture for number fields. Zbl 0841.19002
Borel, Armand; Yang, Jun
9
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
Cohomologie des espaces localement compacts d’apres J. Leray. Zbl 0126.38803
Borel, Armand
9
1964
The Betti numbers of the exceptional groups. Zbl 0064.25902
Borel, Armand; Chevalley, Claude
9
1955
Les fonction automorphes de plusieurs variables complexes. Zbl 0048.06401
Borel, Armand
9
1952
Epimorphic subgroups of linear algebraic groups. II. Zbl 0780.20028
Bien, Frédéric; Borel, Armand
8
1992
Sur la torsion des groupes de Lie. Zbl 0075.24105
Borel, Armand
8
1956
Détermination des \(p\)-puissances réduites de Steenrod dans la cohomologie des groupes classiques. Applications. Zbl 0045.44302
Borel, Armand; Serre, Jean-Pierre
8
1951
Impossibilite de fibrer une sphère par un produit de sphères. Zbl 0039.19201
Borel, Armand
8
1950
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
Borel, Armand (ed.); Casselman, William (ed.)
7
1979
Linear representations of semi-simple algebraic groups. Zbl 0311.20022
Borel, Armand
7
1975
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
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
1
2019
Automorphic forms on reductive groups. Zbl 1137.11032
Borel, Armand
2
2007
Compactifications of symmetric spaces. Zbl 1110.53036
Borel, Armand; Ji, Lizhen
2
2007
Compactifications of symmetric and locally symmetric spaces. Zbl 1100.22001
Borel, Armand; Ji, Lizhen
52
2006
Lie groups and linear algebraic groups. I: Complex and real groups. Zbl 1133.20001
Borel, Armand
6
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.
34
2002
Essays in the history of Lie groups and algebraic groups. Zbl 1087.01011
Borel, Armand
10
2001
Continuous cohomology, discrete subgroups, and representations of reductive groups. 2nd ed. Zbl 0980.22015
Borel, A.; Wallach, N.
152
2000
Jean Leray (1906–1998). Zbl 0977.01032
Borel, Armand; Henkin, Gennadi M.; Lax, Peter D.
1
2000
Some recollections of Harish-Chandra. Zbl 0959.01004
Borel, Armand
1
2000
Semisimple groups and Riemannian symmetric spaces. Zbl 0954.53002
Borel, Armand
16
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
16
1997
Class functions, conjugacy classes and commutators in semisimple Lie groups. Zbl 0872.22011
Borel, Armand
12
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.
13
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
5
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
9
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
14
1992
Epimorphic subgroups of linear algebraic groups. I. Zbl 0767.20017
Bien, Frédéric; Borel, Armand
10
1992
Epimorphic subgroups of linear algebraic groups. II. Zbl 0780.20028
Bien, Frédéric; Borel, Armand
8
1992
Deane Montgomery (1909–1992). Zbl 1194.01066
Borel, Armand
1
1992
Linear algebraic groups. 2nd enlarged ed. Zbl 0726.20030
Borel, Armand
768
1991
The work of Chevalley in Lie groups and algebraic groups. Zbl 0793.01013
Borel, Armand
35
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
43
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
Borel, A. (ed.)
101
1987
On the set of discrete subgroups of bounded covolume in a semisimple group. Zbl 0658.22004
Borel, A.
6
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
A vanishing theorem in relative Lie algebra cohomology. Zbl 0631.17006
Borel, Armand
1
1987
The \(L^ 2\)-cohomology of negatively curved Riemannian symmetric spaces. Zbl 0586.57022
Borel, Armand
16
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
6
1985
On affine algebraic homogeneous spaces. Zbl 0554.14016
Borel, Armand
5
1985
Intersection cohomology. (Notes of a Seminar on Intersection Homology at the University of Bern, Switzerland, Spring 1983). Zbl 0553.14002
Borel, Armand (ed.)
35
1984
On free subgroups of semi-simple groups. Zbl 0533.22009
Borel, Armand
40
1983
\(L^ 2\)-cohomology of locally symmetric manifolds of finite volume. Zbl 0528.22012
Borel, Armand; Casselman, William
32
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
11
1983
Œuvres. Collected papers. Vol. I: 1948-1958. Vol. II: 1959-1968. Vol. III: 1969-1982. Zbl 0537.22001
Borel, Armand
2
1983
Commensurability classes and volumes of hyperbolic 3-manifolds. Zbl 0473.57003
Borel, Armand
81
1981
Stable real cohomology of arithmetic groups. II. Zbl 0483.57026
Borel, Armand
33
1981
Continuous cohomology, discrete subgroups, and representations of reductive groups. Zbl 0443.22010
Borel, Armand; Wallach, N.
313
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.
72
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
Borel, Armand (ed.); Casselman, William (ed.)
7
1979
On the development of Lie group theory. Zbl 0407.22009
Borel, Armand
2
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
Borel, Armand (ed.); Casselman, William (ed.)
2
1979
Théoremes de structure et de conjugaison pour les groupes algébriques linéaires. Zbl 0395.20024
Borel, Armand; Tits, Jacques
43
1978
Existence of discrete cocompact subgroups of reductive groups over local fields. Zbl 0385.14014
Borel, Armand; Harder, G.
39
1978
Cohomologie de \(SL_n\) et valeurs de fonctions zeta aux points entiers. Zbl 0382.57027
Borel, Armand
39
1977
Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup. Zbl 0334.22012
Borel, Armand
102
1976
Cohomologie d’immeubles et de groupes S-arithmétiques. Zbl 0338.20055
Borel, Armand; Serre, Jean-Pierre
56
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
Linear representations of semi-simple algebraic groups. Zbl 0311.20022
Borel, Armand
7
1975
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
Stable real cohomology of arithmetic groups. Zbl 0316.57026
Borel, Armand
163
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
205
1973
Homomorphismes ”abstraits” de groupes algébriques simples. Zbl 0272.14013
Borel, Armand; Tits, Jacques
160
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.
3
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
59
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
11
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
129
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
6
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
1
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.
56
1970
Properties and linear representations of Chevalley groups. Zbl 0197.30501
Borel, Armand
38
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
2
1970
Linear algebraic groups. Zbl 0186.33201
Borel, Armand
252
1969
Introduction aux groupes arithmétiques. Zbl 0186.33202
Borel, Armand
182
1969
Linear algebraic groups. Zbl 0206.49801
Borel, Armand
137
1969
Injective endomorphisms of algebraic varieties. Zbl 0189.21402
Borel, Armand
13
1969
On the automorphisms of certain subgroups of semi-simple Lie groups. Zbl 0202.03201
Borel, Armand
2
1969
Rationality properties of linear algebraic groups. II. Zbl 0211.53302
Borel, Armand; Springer, T. A.
59
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
46
1967
Uniqueness conditions for certain holomorphic mappings. Zbl 0145.31802
Borel, Armand; Narasimhan, R.
19
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
238
1966
Density and maximality of arithmetic subgroups. Zbl 0158.03105
Borel, Armand
51
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
28
1966
Linear algebraic groups. Zbl 0205.50503
Borel, Armand
25
1966
Introduction to automorphic forms. Zbl 0191.09601
Borel, Armand
22
1966
Rationality properties of linear algebraic groups. Zbl 0199.06804
Borel, Armand; Springer, T. A.
21
1966
Reduction theory for arithmetic groups. Zbl 0213.47201
Borel, Armand
16
1966
...and 52 more Documents
all top 5

Cited by 4,491 Authors

32 Borel, Armand
32 Kucharz, Wojciech
31 Biswas, Indranil
26 Ash, Avner
25 Röhrle, Gerhard E.
20 Grunewald, Fritz J.
20 Nguyễn Quôc Thăng
20 Schwermer, Joachim
20 Vavilov, Nikolaĭ Aleksandrovich
19 Dani, Shrikrishna Gopalrao
18 Margulis, Grigoriĭ Aleksandrovich
17 Guralnick, Robert Michael
17 Kono, Akira
16 Clozel, Laurent
16 Kazhdan, David A.
15 Gordeev, Nikolai L.
15 Gunnells, Paul E.
15 Kunyavskiĭ, Boris Èmmanuilovich
15 Lubotzky, Alexander
15 Muić, Goran
15 Prasad, Gopal
15 Tits, Jacques
14 Flicker, Yuval Z.
14 Ji, Lizhen
14 Larsen, Michael Jeffrey
14 Martin, Benjamin M. S.
14 Shalev, Aner
14 Wang, Shuping
13 Delorme, Patrick
13 Einsiedler, Manfred Leopold
13 Helminck, Aloysius G.
13 Korbaš, Július
13 Lusztig, George
13 Millson, John J.
12 Ciubotaru, Dan
12 Harris, Michael Howard
12 Popov, Vladimir Leonidovich
12 Reid, Alan W.
12 Rohlfs, Jürgen
12 Schneider, Peter
12 Springer, Tonny Albert
12 Yeung, Sai-Kee
11 Bate, Michael Edward
11 Bergeron, Nicolas
11 Deitmar, Anton
11 Duan, Haibao
11 Harder, Günter
11 Johnson, Francis E. A.
11 Kramer, Linus
11 Lehrer, Gustav Isaac
11 Linowitz, Benjamin
11 Oh, Hee
11 Parshall, Brian J.
11 Putcha, Mohan S.
11 Rapinchuk, Andrei S.
11 Sarnak, Peter Clive
11 Savin, Gordan
11 Schmid, Wilfried
11 Schultz, Reinhard E.
11 Solleveld, Maarten
11 Tiep Pham Huu
11 Venkatesh, Akshay
10 Barbasch, Dan M.
10 Brion, Michel
10 Bunina, E. I.
10 Caprace, Pierre-Emmanuel
10 Garibaldi, Skip
10 Gorodnik, Alexander
10 Li, Jian-Shu
10 Pianzola, Arturo
10 Premet, Alexander A.
10 Raghunathan, Madabusi Santanam
10 Testerman, Donna M.
10 Zimmer, Robert J.
9 Belolipetsky, Mikhail V.
9 Bochnak, Jacek
9 Borovik, Alexandre Vasilievich
9 Goodwin, Simon M.
9 Grobner, Harald
9 Hsiang, Wu-Yi
9 Jantzen, Chris
9 McConnell, Mark
9 McNinch, George J.
9 McReynolds, David Ben
9 Mohammadi, Amir
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
9 Zalesski, Alexandre Efimovich
8 Atiyah, Michael Francis
8 Baum, Paul Frank
8 Benoist, Yves
8 Burger, Marc
8 Chrysikos, Ioannis
8 Draisma, Jan
...and 4,391 more Authors
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Cited in 325 Serials

415 Journal of Algebra
320 Transactions of the American Mathematical Society
315 Inventiones Mathematicae
272 Mathematische Annalen
219 Duke Mathematical Journal
193 Advances in Mathematics
184 Mathematische Zeitschrift
158 Proceedings of the American Mathematical Society
145 Compositio Mathematica
118 Journal of Pure and Applied Algebra
102 Annales de l’Institut Fourier
94 Israel Journal of Mathematics
94 Bulletin of the American Mathematical Society
87 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
78 Journal of Number Theory
78 Topology and its Applications
78 Transformation Groups
75 Manuscripta Mathematica
68 Communications in Algebra
67 Bulletin of the American Mathematical Society. New Series
62 Geometriae Dedicata
61 Publications Mathématiques
56 Journal of the American Mathematical Society
54 Journal of Functional Analysis
52 Bulletin de la Société Mathématique de France
52 Tohoku Mathematical Journal. Second Series
46 Algebraic & Geometric Topology
45 Annals of Mathematics. Second Series
42 Archiv der Mathematik
40 Representation Theory
39 Journal of Geometry and Physics
38 Journal für die Reine und Angewandte Mathematik
37 Communications in Mathematical Physics
37 Nagoya Mathematical Journal
37 Annals of Global Analysis and Geometry
36 Acta Mathematica
34 Journal of Mathematical Sciences (New York)
34 Geometry & Topology
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 Selecta Mathematica. New Series
32 Comptes Rendus. Mathématique. Académie des Sciences, Paris
32 Journal of the Institute of Mathematics of Jussieu
30 Mathematical Proceedings of the Cambridge Philosophical Society
29 Proceedings of the Japan Academy. Series A
28 Geometric and Functional Analysis. GAFA
28 Linear Algebra and its Applications
28 Journal of the European Mathematical Society (JEMS)
26 Journal of Mathematical Physics
26 Functional Analysis and its Applications
25 Mathematical Notes
25 Indagationes Mathematicae. New Series
24 International Journal of Mathematics
20 Siberian Mathematical Journal
20 The Journal of Geometric Analysis
20 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
20 St. Petersburg Mathematical Journal
20 Journal of High Energy Physics
19 Memoirs of the American Mathematical Society
19 Monatshefte für Mathematik
19 Forum of Mathematics, Sigma
18 Osaka Journal of Mathematics
18 Forum Mathematicum
16 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
16 \(K\)-Theory
15 Journal d’Analyse Mathématique
15 Proceedings of the Edinburgh Mathematical Society. Series II
15 Expositiones Mathematicae
15 Journal de Théorie des Nombres de Bordeaux
15 Groups, Geometry, and Dynamics
14 Glasgow Mathematical Journal
14 Bulletin des Sciences Mathématiques
14 Documenta Mathematica
13 Bulletin of the Australian Mathematical Society
13 Nuclear Physics. B
13 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
13 Journal of Symbolic Computation
13 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
13 Algebras and Representation Theory
12 Acta Mathematica Sinica. English Series
12 Proceedings of the Steklov Institute of Mathematics
12 Journal of Topology
12 Journal of Topology and Analysis
11 Algebra and Logic
11 Mémoires de la Société Mathématique de France. Nouvelle Série
11 Journal of Algebraic Combinatorics
11 Central European Journal of Mathematics
10 Journal of the Mathematical Society of Japan
10 Michigan Mathematical Journal
10 Rendiconti del Seminario Matematico della Università di Padova
10 Acta Applicandae Mathematicae
9 Letters in Mathematical Physics
9 Linear and Multilinear Algebra
9 Mathematica Slovaca
9 Proceedings of the London Mathematical Society. Third Series
9 Ergodic Theory and Dynamical Systems
9 Experimental Mathematics
...and 225 more Serials
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Cited in 54 Fields

1,517 Algebraic geometry (14-XX)
1,495 Group theory and generalizations (20-XX)
1,288 Topological groups, Lie groups (22-XX)
1,171 Number theory (11-XX)
867 Manifolds and cell complexes (57-XX)
670 Differential geometry (53-XX)
555 Algebraic topology (55-XX)
484 Several complex variables and analytic spaces (32-XX)
468 Nonassociative rings and algebras (17-XX)
264 Global analysis, analysis on manifolds (58-XX)
201 Associative rings and algebras (16-XX)
177 \(K\)-theory (19-XX)
170 Dynamical systems and ergodic theory (37-XX)
138 Commutative algebra (13-XX)
138 Category theory; homological algebra (18-XX)
126 Quantum theory (81-XX)
119 Abstract harmonic analysis (43-XX)
104 Combinatorics (05-XX)
91 Field theory and polynomials (12-XX)
89 Geometry (51-XX)
75 Linear and multilinear algebra; matrix theory (15-XX)
66 Functional analysis (46-XX)
63 Functions of a complex variable (30-XX)
52 Mathematical logic and foundations (03-XX)
49 General topology (54-XX)
46 Partial differential equations (35-XX)
41 Measure and integration (28-XX)
40 Convex and discrete geometry (52-XX)
39 Ordinary differential equations (34-XX)
35 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)
23 Computer science (68-XX)
19 Order, lattices, ordered algebraic structures (06-XX)
19 Operator theory (47-XX)
14 General and overarching topics; collections (00-XX)
9 Mechanics of particles and systems (70-XX)
9 Statistical mechanics, structure of matter (82-XX)
9 Systems theory; control (93-XX)
9 Information and communication theory, circuits (94-XX)
8 Potential theory (31-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
7 Difference and functional equations (39-XX)
7 Numerical analysis (65-XX)
3 Integral transforms, operational calculus (44-XX)
3 Fluid mechanics (76-XX)
2 Statistics (62-XX)
2 Biology and other natural sciences (92-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)

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