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Steinberg, Robert

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Author ID: steinberg.robert Recent zbMATH articles by "Steinberg, Robert"
Published as: Steinberg; Steinberg, R.; Steinberg, Robert
External Links: MGP · Math-Net.Ru · Wikidata · GND
Documents Indexed: 57 Publications since 1951, including 9 Books
Biographic References: 2 Publications

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 2,774 times in 2,201 Documents Cited by Year
Lectures on Chevalley groups. Notes prepared by John Faulkner and Robert Wilson. Zbl 1196.22001
Steinberg, Robert
338
1968
Endomorphisms of linear algebraic groups. Zbl 0164.02902
Steinberg, R.
315
1968
Conjugacy classes. Zbl 0249.20024
Springer, T. A.; Steinberg, R.
261
1970
On the Galois cohomology of linear algebraic groups. Zbl 0164.34302
Steinberg, R.
189
1967
Representations of algebraic groups. Zbl 0271.20019
Steinberg, Robert
155
1963
Lectures on Chevalley groups. Zbl 1361.20003
Steinberg, Robert
135
2016
Conjugacy classes in algebraic groups. Notes by Vinay V. Deodhar. Zbl 0281.20037
Steinberg, Robert
133
1974
Regular elements of semisimple algebraic groups. Zbl 0136.30002
Steinberg, R.
116
1965
Differential equations invariant under finite reflection groups. Zbl 0196.39202
Steinberg, R.
97
1964
Automorphisms of finite linear groups. Zbl 0097.01703
Steinberg, Robert
93
1960
On the desingularization of the unipotent variety. Zbl 0352.20035
Steinberg, Robert
83
1976
Generators for simple groups. Zbl 0103.26204
Steinberg, Robert
60
1962
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
Variations on a theme of Chevalley. Zbl 0092.02505
Steinberg, Robert
53
1959
Torsion in reductive groups. Zbl 0312.20026
Steinberg, Robert
52
1975
A geometric approach to the representations of the full linear group over a Galois field. Zbl 0045.30201
Steinberg, R.
51
1951
The representations of \(GL(3,q)\), \(GL(4,q)\), \(PGL(3,q)\), and \(PGL(4,q)\). Zbl 0042.25602
Steinberg, Robert
51
1951
On a theorem of Pittie. Zbl 0318.22010
Steinberg, Robert
50
1975
Lectures on Chevalley groups. Translated from the English by I. N. Bernshteĭn und N. N. Yakovlev. Edited by A. A. Kirillov. Zbl 0307.22001
Steinberg, Robert
45
1975
Générateurs, rélations et revetements de groupes algébriques. Zbl 0272.20036
Steinberg, Robert
45
1962
Parabolic subgroups with Abelian unipotent radical. Zbl 0786.20029
Richardson, Roger; Röhrle, Gerhard; Steinberg, Robert
43
1992
Automorphisms of classical Lie algebras. Zbl 0104.02905
Steinberg, Robert
40
1961
Invariants of finite reflection groups. Zbl 0099.36802
Steinberg, Robert
39
1960
Prime power representations of finite linear groups. II. Zbl 0079.25601
Steinberg, Robert
37
1957
Finite reflection groups. Zbl 0092.13904
Steinberg, Robert
35
1959
Generators, relations and coverings of algebraic groups. II. Zbl 0468.20038
Steinberg, Robert
24
1981
Classes of elements of semisimple algebraic groups. Zbl 0192.36202
Steinberg, R.
21
1968
An occurrence of the Robinson-Schensted correspondence. Zbl 0653.20039
Steinberg, Robert
20
1988
Finite subgroups of \(SU_ 2\), Dynkin diagrams and affine Coxeter elements. Zbl 0567.20026
Steinberg, Robert
19
1985
Prime power representations of finite linear groups. Zbl 0073.01502
Steinberg, Robert
18
1956
A general Clebsch-Gordan theorem. Zbl 0115.25605
Steinberg, R.
16
1961
Complete sets of representations of algebras. Zbl 0114.25604
Steinberg, R.
12
1962
On Dickson’s theorem on invariants. Zbl 0656.20052
Steinberg, Robert
11
1987
The isomorphism and isogeny theorems for reductive algebraic groups. Zbl 0940.20050
Steinberg, Robert
10
1999
Nagata’s example. Zbl 0944.13003
Steinberg, Robert
10
1997
On power maps in algebraic groups. Zbl 1045.20044
Steinberg, Robert
8
2003
Some consequences of the elementary relations in \(SL_ n\). Zbl 0579.20038
Steinberg, Robert
7
1985
Eigenvalues of the unitary part of a matrix. Zbl 0087.01703
Horn, Alfred; Steinberg, Robert
6
1959
Abstract homomorphisms of simple algebraic groups (after A. Borel and J. Tits). Zbl 0294.20040
Steinberg, Robert
5
1974
On theorems of Lie-Kolchin, Borel, and Lang. Zbl 0372.20032
Steinberg, Robert
3
1977
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
The simplicity of certain groups. Zbl 0093.03503
Steinberg, Robert
3
1960
Conjugacy in semisimple algebraic groups. Zbl 0401.20036
Steinberg, Robert
2
1978
The isomorphism and isogeny theorems for reductive algebraic groups. Zbl 0920.20040
Steinberg, Robert
1
1998
Robert Steinberg, collected papers. With foreword by J.-P. Serre. Zbl 0878.20002
Steinberg, Robert
1
1997
Tensor product theorems. Zbl 0657.20038
Steinberg, Robert
1
1987
On the number of sides of a Petrie polygon. Zbl 0098.12701
Steinberg, Robert
1
1958
Lectures on Chevalley groups. Zbl 1361.20003
Steinberg, Robert
135
2016
On power maps in algebraic groups. Zbl 1045.20044
Steinberg, Robert
8
2003
The isomorphism and isogeny theorems for reductive algebraic groups. Zbl 0940.20050
Steinberg, Robert
10
1999
The isomorphism and isogeny theorems for reductive algebraic groups. Zbl 0920.20040
Steinberg, Robert
1
1998
Nagata’s example. Zbl 0944.13003
Steinberg, Robert
10
1997
Robert Steinberg, collected papers. With foreword by J.-P. Serre. Zbl 0878.20002
Steinberg, Robert
1
1997
Parabolic subgroups with Abelian unipotent radical. Zbl 0786.20029
Richardson, Roger; Röhrle, Gerhard; Steinberg, Robert
43
1992
An occurrence of the Robinson-Schensted correspondence. Zbl 0653.20039
Steinberg, Robert
20
1988
On Dickson’s theorem on invariants. Zbl 0656.20052
Steinberg, Robert
11
1987
Tensor product theorems. Zbl 0657.20038
Steinberg, Robert
1
1987
Finite subgroups of \(SU_ 2\), Dynkin diagrams and affine Coxeter elements. Zbl 0567.20026
Steinberg, Robert
19
1985
Some consequences of the elementary relations in \(SL_ n\). Zbl 0579.20038
Steinberg, Robert
7
1985
Generators, relations and coverings of algebraic groups. II. Zbl 0468.20038
Steinberg, Robert
24
1981
Conjugacy in semisimple algebraic groups. Zbl 0401.20036
Steinberg, Robert
2
1978
On theorems of Lie-Kolchin, Borel, and Lang. Zbl 0372.20032
Steinberg, Robert
3
1977
On the desingularization of the unipotent variety. Zbl 0352.20035
Steinberg, Robert
83
1976
Torsion in reductive groups. Zbl 0312.20026
Steinberg, Robert
52
1975
On a theorem of Pittie. Zbl 0318.22010
Steinberg, Robert
50
1975
Lectures on Chevalley groups. Translated from the English by I. N. Bernshteĭn und N. N. Yakovlev. Edited by A. A. Kirillov. Zbl 0307.22001
Steinberg, Robert
45
1975
Conjugacy classes in algebraic groups. Notes by Vinay V. Deodhar. Zbl 0281.20037
Steinberg, Robert
133
1974
Abstract homomorphisms of simple algebraic groups (after A. Borel and J. Tits). Zbl 0294.20040
Steinberg, Robert
5
1974
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
Conjugacy classes. Zbl 0249.20024
Springer, T. A.; Steinberg, R.
261
1970
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
Lectures on Chevalley groups. Notes prepared by John Faulkner and Robert Wilson. Zbl 1196.22001
Steinberg, Robert
338
1968
Endomorphisms of linear algebraic groups. Zbl 0164.02902
Steinberg, R.
315
1968
Classes of elements of semisimple algebraic groups. Zbl 0192.36202
Steinberg, R.
21
1968
On the Galois cohomology of linear algebraic groups. Zbl 0164.34302
Steinberg, R.
189
1967
Regular elements of semisimple algebraic groups. Zbl 0136.30002
Steinberg, R.
116
1965
Differential equations invariant under finite reflection groups. Zbl 0196.39202
Steinberg, R.
97
1964
Representations of algebraic groups. Zbl 0271.20019
Steinberg, Robert
155
1963
Generators for simple groups. Zbl 0103.26204
Steinberg, Robert
60
1962
Générateurs, rélations et revetements de groupes algébriques. Zbl 0272.20036
Steinberg, Robert
45
1962
Complete sets of representations of algebras. Zbl 0114.25604
Steinberg, R.
12
1962
Automorphisms of classical Lie algebras. Zbl 0104.02905
Steinberg, Robert
40
1961
A general Clebsch-Gordan theorem. Zbl 0115.25605
Steinberg, R.
16
1961
Automorphisms of finite linear groups. Zbl 0097.01703
Steinberg, Robert
93
1960
Invariants of finite reflection groups. Zbl 0099.36802
Steinberg, Robert
39
1960
The simplicity of certain groups. Zbl 0093.03503
Steinberg, Robert
3
1960
Variations on a theme of Chevalley. Zbl 0092.02505
Steinberg, Robert
53
1959
Finite reflection groups. Zbl 0092.13904
Steinberg, Robert
35
1959
Eigenvalues of the unitary part of a matrix. Zbl 0087.01703
Horn, Alfred; Steinberg, Robert
6
1959
On the number of sides of a Petrie polygon. Zbl 0098.12701
Steinberg, Robert
1
1958
Prime power representations of finite linear groups. II. Zbl 0079.25601
Steinberg, Robert
37
1957
Prime power representations of finite linear groups. Zbl 0073.01502
Steinberg, Robert
18
1956
A geometric approach to the representations of the full linear group over a Galois field. Zbl 0045.30201
Steinberg, R.
51
1951
The representations of \(GL(3,q)\), \(GL(4,q)\), \(PGL(3,q)\), and \(PGL(4,q)\). Zbl 0042.25602
Steinberg, Robert
51
1951
all top 5

Cited by 1,744 Authors

32 Guralnick, Robert Michael
32 Vavilov, Nikolaĭ Aleksandrovich
27 Zalesski, Alexandre Efimovich
24 Lusztig, George
23 Gordeev, Nikolai L.
23 Röhrle, Gerhard E.
21 Liebeck, Martin Walter
18 Suprunenko, Irina D.
18 Tiep Pham Huu
17 Parshall, Brian J.
16 Burness, Timothy C.
16 Seitz, Gary M.
16 Testerman, Donna M.
15 Springer, Tonny Albert
14 Garibaldi, Skip
14 Shalev, Aner
13 Kantor, William M.
13 Osinovskaya, Anna A.
13 Plotkin, Eugene
12 Bunina, E. I.
12 Morita, Jun
11 Lehrer, Gustav Isaac
11 Panyushev, Dmitri Ivanovich
10 Borovik, Alexandre Vasilievich
10 Ellers, Erich W.
10 Geck, Meinolf
10 Griess, Robert L. jun.
10 Humphreys, James E.
10 Kunyavskiĭ, Boris Èmmanuilovich
10 Malle, Gunter
10 Navarro, Gabriel
10 Premet, Alexander A.
10 Scott, Leonard L.
9 Curtis, Charles W.
9 Fleischmann, Peter
9 Friedlander, Eric Mark
9 Hiss, Gerhard
9 Kleshchev, Alexander S.
9 McNinch, George J.
9 Melnikov, Anna
9 Nuzhin, Yakov Nifant’evich
9 Pianzola, Arturo
9 Steinberg, Robert
8 Fulman, Jason E.
8 Goodwin, Simon M.
8 Gross, Benedict Hyman
8 Helminck, Aloysius G.
8 Kazhdan, David A.
8 Kondrat’ev, Anatoliĭ Semenovich
8 Larsen, Michael Jeffrey
8 Ram, Arun
8 Reeder, Mark
8 Renner, Lex E.
8 Richardson, Roger Wolcott
8 Solomon, Ronald Mark
8 Stroth, Gernot
7 Azad, Hassan
7 Benkart, Georgia M.
7 Cline, Edward T.
7 He, Xuhua
7 Hesselink, Wim H.
7 Jantzen, Jens Carsten
7 Joseph, Anthony
7 Lubotzky, Alexander
7 Marion, Claude
7 Nguyễn Quôc Thăng
7 Saxl, Jan
7 Taylor, Jay
7 Timmesfeld, Franz Georg
6 Aschbacher, Michael George
6 Biswas, Indranil
6 Borho, Walter
6 Brundan, Jonathan
6 Chernousov, Vladimir I.
6 Donkin, Stephen
6 Fresse, Lucas
6 Kawanaka, Noriaki
6 Levy, Paul D.
6 Michel, Jean
6 Moody, Robert Vaughan
6 Pevzner, Igor’ M.
6 Rehmann, Ulf
6 Reichstein, Zinovy B.
6 Sah, Chih-Han
6 Savin, Gordan
6 Shoji, Toshiaki
6 Sin, Peter K. W.
5 Abe, Eiichi
5 Cabanes, Marc
5 Carter, Roger William
5 Cohen, Arjeh Marcel
5 Douglass, J. Matthew
5 Dyer, Matthew J.
5 Gordon, S. Robert
5 Green, James Alexander
5 Gyoja, Akihiko
5 Hoge, Torsten
5 Howlett, Robert B.
5 Hurley, James F.
5 Lakshmibai, Venkatramani
...and 1,644 more Authors
all top 5

Cited in 207 Serials

536 Journal of Algebra
90 Advances in Mathematics
88 Communications in Algebra
88 Transactions of the American Mathematical Society
80 Inventiones Mathematicae
57 Journal of Pure and Applied Algebra
50 Mathematische Zeitschrift
49 Representation Theory
47 Proceedings of the American Mathematical Society
46 Journal of Mathematical Sciences (New York)
40 Transformation Groups
36 Duke Mathematical Journal
36 Mathematische Annalen
28 Compositio Mathematica
27 Israel Journal of Mathematics
24 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
23 St. Petersburg Mathematical Journal
22 Archiv der Mathematik
20 Journal of Soviet Mathematics
20 Journal of Algebraic Combinatorics
19 Linear Algebra and its Applications
18 Algebra and Logic
18 Tohoku Mathematical Journal. Second Series
18 Indagationes Mathematicae. New Series
17 Publications Mathématiques
17 Journal of Number Theory
16 Memoirs of the American Mathematical Society
16 Bulletin of the American Mathematical Society. New Series
15 Manuscripta Mathematica
15 Proceedings of the Japan Academy. Series A
15 Journal of Group Theory
15 Journal of Algebra and its Applications
14 Communications in Mathematical Physics
14 Annales de l’Institut Fourier
14 Journal of Combinatorial Theory. Series A
14 Journal of the American Mathematical Society
14 Algebras and Representation Theory
14 Bulletin of the American Mathematical Society
13 Mathematical Notes
13 Annals of Mathematics. Second Series
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Nagoya Mathematical Journal
11 Functional Analysis and its Applications
11 Siberian Mathematical Journal
10 European Journal of Combinatorics
10 International Journal of Algebra and Computation
10 Selecta Mathematica. New Series
9 Mathematical Proceedings of the Cambridge Philosophical Society
8 Bulletin of the Australian Mathematical Society
8 Geometriae Dedicata
8 Journal für die Reine und Angewandte Mathematik
8 Documenta Mathematica
8 Journal of the European Mathematical Society (JEMS)
8 Proceedings of the Steklov Institute of Mathematics
7 Discrete Mathematics
7 Michigan Mathematical Journal
7 Rendiconti del Seminario Matematico della Università di Padova
7 Algebraic & Geometric Topology
7 Journal of the Institute of Mathematics of Jussieu
7 Forum of Mathematics, Sigma
6 Linear and Multilinear Algebra
6 Algebra & Number Theory
5 Journal of Mathematical Physics
5 Journal of Geometry and Physics
5 Acta Applicandae Mathematicae
5 Journal of Symbolic Computation
4 Ukrainian Mathematical Journal
4 Bulletin de la Société Mathématique de France
4 Journal of Functional Analysis
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Advances in Applied Mathematics
4 \(K\)-Theory
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Mémoires de la Société Mathématique de France. Nouvelle Série
4 Finite Fields and their Applications
4 Journal of Lie Theory
4 Bulletin des Sciences Mathématiques
4 Annals of Combinatorics
4 Journal of High Energy Physics
4 Science China. Mathematics
3 Beiträge zur Algebra und Geometrie
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Glasgow Mathematical Journal
3 Journal of Geometry
3 Monatshefte für Mathematik
3 Osaka Journal of Mathematics
3 Pacific Journal of Mathematics
3 Semigroup Forum
3 Forum Mathematicum
3 International Journal of Mathematics
3 Designs, Codes and Cryptography
3 Expositiones Mathematicae
3 Acta Mathematica Sinica. New Series
3 Acta Mathematica Sinica. English Series
3 Trudy Instituta Matematiki
3 Journal of the Australian Mathematical Society
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Proceedings of the Japan Academy
3 Japanese Journal of Mathematics. 3rd Series
...and 107 more Serials
all top 5

Cited in 47 Fields

1,505 Group theory and generalizations (20-XX)
427 Algebraic geometry (14-XX)
407 Nonassociative rings and algebras (17-XX)
306 Topological groups, Lie groups (22-XX)
203 Number theory (11-XX)
148 Combinatorics (05-XX)
94 Associative rings and algebras (16-XX)
83 Commutative algebra (13-XX)
67 Geometry (51-XX)
58 Linear and multilinear algebra; matrix theory (15-XX)
52 Algebraic topology (55-XX)
46 \(K\)-theory (19-XX)
45 Manifolds and cell complexes (57-XX)
41 Several complex variables and analytic spaces (32-XX)
35 Differential geometry (53-XX)
34 Quantum theory (81-XX)
30 Category theory; homological algebra (18-XX)
30 Convex and discrete geometry (52-XX)
26 Field theory and polynomials (12-XX)
22 Dynamical systems and ergodic theory (37-XX)
19 Mathematical logic and foundations (03-XX)
16 Order, lattices, ordered algebraic structures (06-XX)
16 Computer science (68-XX)
15 Global analysis, analysis on manifolds (58-XX)
13 Special functions (33-XX)
13 Abstract harmonic analysis (43-XX)
12 Functional analysis (46-XX)
9 Information and communication theory, circuits (94-XX)
6 Partial differential equations (35-XX)
5 Numerical analysis (65-XX)
4 Ordinary differential equations (34-XX)
4 Probability theory and stochastic processes (60-XX)
3 General and overarching topics; collections (00-XX)
3 Functions of a complex variable (30-XX)
3 Potential theory (31-XX)
3 Difference and functional equations (39-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Relativity and gravitational theory (83-XX)
2 History and biography (01-XX)
2 Real functions (26-XX)
2 Operator theory (47-XX)
2 Mechanics of particles and systems (70-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Systems theory; control (93-XX)
1 Measure and integration (28-XX)
1 Approximations and expansions (41-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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