Robert Steinberg - Author Profile

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Steinberg, Robert (b. 1922 d. 2014)

Author ID:	steinberg.robert
Published as:	Steinberg, Robert; Steinberg, R.
External Links:	MGP · Wikidata · Math-Net.Ru · GND · IdRef

Documents Indexed:	57 Publications since 1951, including 9 Books
Biographic References:	2 Publications
Co-Authors:	9 Co-Authors with 8 Joint Publications
	250 Co-Co-Authors

all top 5

Co-Authors

46	single-authored
3	Redheffer, Raymond M.
3	Springer, Tonny Albert
2	Borel, Armand
2	Carter, Roger William
2	Curtis, Charles W.
2	Iwahori, Nagayoshi
1	Boudy, Jérôme
1	Horn, Alfred
1	Huet, Denise
1	Richardson, Roger Wolcott
1	Röhrle, Gerhard

all top 5

Serials

7	Canadian Journal of Mathematics
7	Pacific Journal of Mathematics
4	Journal of Algebra
4	Transactions of the American Mathematical Society
2	Inventiones Mathematicae
2	Lecture Notes in Mathematics
1	American Mathematical Monthly
1	Uspekhi Matematicheskikh Nauk [N. S.]
1	Advances in Mathematics
1	Illinois Journal of Mathematics
1	Publications Mathématiques
1	Journal of the Faculty of Science. Section I A
1	Memoirs of the American Mathematical Society
1	Nagoya Mathematical Journal
1	Proceedings of the American Mathematical Society
1	Quarterly of Applied Mathematics
1	Topology
1	Mathematical Research Letters
1	Bulletin of the American Mathematical Society
1	Journal of Mathematics and Physics
1	University Lecture Series

all top 5

Fields

27	Group theory and generalizations (20-XX)
12	Algebraic geometry (14-XX)
9	Topological groups, Lie groups (22-XX)
2	Functions of a complex variable (30-XX)
1	General and overarching topics; collections (00-XX)
1	History and biography (01-XX)
1	Combinatorics (05-XX)
1	Commutative algebra (13-XX)
1	Linear and multilinear algebra; matrix theory (15-XX)
1	\(K\)-theory (19-XX)
1	Several complex variables and analytic spaces (32-XX)
1	Manifolds and cell complexes (57-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

48 Publications have been cited 3,264 times in 2,665 Documents	Cited by ▼	Year ▼
Endomorphisms of linear algebraic groups. Zbl 0164.02902 Steinberg, R.	405	1968
Lectures on Chevalley groups. Notes prepared by John Faulkner and Robert Wilson. Zbl 1196.22001 Steinberg, Robert	396	1968
Conjugacy classes. Zbl 0249.20024 Springer, T. A.; Steinberg, R.	290	1970
Lectures on Chevalley groups. Zbl 1361.20003 Steinberg, Robert	216	2016
Representations of algebraic groups. Zbl 0271.20019 Steinberg, Robert	175	1963
Regular elements of semisimple algebraic groups. Zbl 0136.30002 Steinberg, Robert	143	1965
Conjugacy classes in algebraic groups. Notes by Vinay V. Deodhar. Zbl 0281.20037 Steinberg, Robert	134	1974
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.	118	1970
Differential equations invariant under finite reflection groups. Zbl 0196.39202 Steinberg, R.	114	1964
Automorphisms of finite linear groups. Zbl 0097.01703 Steinberg, Robert	100	1960
On the desingularization of the unipotent variety. Zbl 0352.20035 Steinberg, Robert	90	1976
Torsion in reductive groups. Zbl 0312.20026 Steinberg, Robert	70	1975
Generators for simple groups. Zbl 0103.26204 Steinberg, Robert	69	1962
On a theorem of Pittie. Zbl 0318.22010 Steinberg, Robert	66	1975
Générateurs, rélations et revetements de groupes algébriques. Zbl 0272.20036 Steinberg, Robert	66	1962
On the Galois cohomology of linear algebraic groups. Zbl 0164.34302 Steinberg, R.	65	1967
The representations of \(GL(3,q)\), \(GL(4,q)\), \(PGL(3,q)\), and \(PGL(4,q)\). Zbl 0042.25602 Steinberg, Robert	60	1951
A geometric approach to the representations of the full linear group over a Galois field. Zbl 0045.30201 Steinberg, R.	60	1951
Variations on a theme of Chevalley. Zbl 0092.02505 Steinberg, Robert	58	1959
Lectures on Chevalley groups. Translated from the English by I. N. Bernshteĭn und N. N. Yakovlev. Edited by A. A. Kirillov. (Лекции о группах Шевалле.) Zbl 0307.22001 Steinberg, Robert	54	1975
Finite reflection groups. Zbl 0092.13904 Steinberg, Robert	51	1959
Parabolic subgroups with Abelian unipotent radical. Zbl 0786.20029 Richardson, Roger; Röhrle, Gerhard; Steinberg, Robert	50	1992
Invariants of finite reflection groups. Zbl 0099.36802 Steinberg, Robert	48	1960
Prime power representations of finite linear groups. II. Zbl 0079.25601 Steinberg, Robert	44	1957
Automorphisms of classical Lie algebras. Zbl 0104.02905 Steinberg, Robert	43	1961
An occurrence of the Robinson-Schensted correspondence. Zbl 0653.20039 Steinberg, Robert	32	1988
Finite subgroups of \(SU_ 2\), Dynkin diagrams and affine Coxeter elements. Zbl 0567.20026 Steinberg, Robert	29	1985
Generators, relations and coverings of algebraic groups. II. Zbl 0468.20038 Steinberg, Robert	26	1981
Prime power representations of finite linear groups. Zbl 0073.01502 Steinberg, Robert	25	1956
Classes of elements of semisimple algebraic groups. Zbl 0192.36202 Steinberg, R.	21	1968
Some consequences of the elementary relations in \(SL_ n\). Zbl 0579.20038 Steinberg, Robert	20	1985
A general Clebsch-Gordan theorem. Zbl 0115.25605 Steinberg, R.	18	1961
Eigenvalues of the unitary part of a matrix. Zbl 0087.01703 Horn, Alfred; Steinberg, Robert	14	1959
Complete sets of representations of algebras. Zbl 0114.25604 Steinberg, R.	14	1962
On Dickson’s theorem on invariants. Zbl 0656.20052 Steinberg, Robert	12	1987
Nagata’s example. Zbl 0944.13003 Steinberg, Robert	11	1997
On power maps in algebraic groups. Zbl 1045.20044 Steinberg, Robert	10	2003
The isomorphism and isogeny theorems for reductive algebraic groups. Zbl 0940.20050 Steinberg, Robert	10	1999
Abstract homomorphisms of simple algebraic groups (after A. Borel and J. Tits). Zbl 0294.20040 Steinberg, Robert	8	1974
Robert Steinberg, collected papers. With foreword by J.-P. Serre. Zbl 0878.20002 Steinberg, Robert	8	1997
On theorems of Lie-Kolchin, Borel, and Lang. Zbl 0372.20032 Steinberg, Robert	7	1977
The simplicity of certain groups. Zbl 0093.03503 Steinberg, Robert	3	1960
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 in semisimple algebraic groups. Zbl 0401.20036 Steinberg, Robert	3	1978
Kleinian singularities and unipotent elements. Zbl 0463.14010 Steinberg, Robert	2	1980
On the number of sides of a Petrie polygon. Zbl 0098.12701 Steinberg, Robert	1	1958
The isomorphism and isogeny theorems for reductive algebraic groups. Zbl 0920.20040 Steinberg, Robert	1	1998
Tensor product theorems. Zbl 0657.20038 Steinberg, Robert	1	1987
Lectures on Chevalley groups. Zbl 1361.20003 Steinberg, Robert	216	2016
On power maps in algebraic groups. Zbl 1045.20044 Steinberg, Robert	10	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	11	1997
Robert Steinberg, collected papers. With foreword by J.-P. Serre. Zbl 0878.20002 Steinberg, Robert	8	1997
Parabolic subgroups with Abelian unipotent radical. Zbl 0786.20029 Richardson, Roger; Röhrle, Gerhard; Steinberg, Robert	50	1992
An occurrence of the Robinson-Schensted correspondence. Zbl 0653.20039 Steinberg, Robert	32	1988
On Dickson’s theorem on invariants. Zbl 0656.20052 Steinberg, Robert	12	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	29	1985
Some consequences of the elementary relations in \(SL_ n\). Zbl 0579.20038 Steinberg, Robert	20	1985
Generators, relations and coverings of algebraic groups. II. Zbl 0468.20038 Steinberg, Robert	26	1981
Kleinian singularities and unipotent elements. Zbl 0463.14010 Steinberg, Robert	2	1980
Conjugacy in semisimple algebraic groups. Zbl 0401.20036 Steinberg, Robert	3	1978
On theorems of Lie-Kolchin, Borel, and Lang. Zbl 0372.20032 Steinberg, Robert	7	1977
On the desingularization of the unipotent variety. Zbl 0352.20035 Steinberg, Robert	90	1976
Torsion in reductive groups. Zbl 0312.20026 Steinberg, Robert	70	1975
On a theorem of Pittie. Zbl 0318.22010 Steinberg, Robert	66	1975
Lectures on Chevalley groups. Translated from the English by I. N. Bernshteĭn und N. N. Yakovlev. Edited by A. A. Kirillov. (Лекции о группах Шевалле.) Zbl 0307.22001 Steinberg, Robert	54	1975
Conjugacy classes in algebraic groups. Notes by Vinay V. Deodhar. Zbl 0281.20037 Steinberg, Robert	134	1974
Abstract homomorphisms of simple algebraic groups (after A. Borel and J. Tits). Zbl 0294.20040 Steinberg, Robert	8	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.	290	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.	118	1970
Endomorphisms of linear algebraic groups. Zbl 0164.02902 Steinberg, R.	405	1968
Lectures on Chevalley groups. Notes prepared by John Faulkner and Robert Wilson. Zbl 1196.22001 Steinberg, Robert	396	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.	65	1967
Regular elements of semisimple algebraic groups. Zbl 0136.30002 Steinberg, Robert	143	1965
Differential equations invariant under finite reflection groups. Zbl 0196.39202 Steinberg, R.	114	1964
Representations of algebraic groups. Zbl 0271.20019 Steinberg, Robert	175	1963
Generators for simple groups. Zbl 0103.26204 Steinberg, Robert	69	1962
Générateurs, rélations et revetements de groupes algébriques. Zbl 0272.20036 Steinberg, Robert	66	1962
Complete sets of representations of algebras. Zbl 0114.25604 Steinberg, R.	14	1962
Automorphisms of classical Lie algebras. Zbl 0104.02905 Steinberg, Robert	43	1961
A general Clebsch-Gordan theorem. Zbl 0115.25605 Steinberg, R.	18	1961
Automorphisms of finite linear groups. Zbl 0097.01703 Steinberg, Robert	100	1960
Invariants of finite reflection groups. Zbl 0099.36802 Steinberg, Robert	48	1960
The simplicity of certain groups. Zbl 0093.03503 Steinberg, Robert	3	1960
Variations on a theme of Chevalley. Zbl 0092.02505 Steinberg, Robert	58	1959
Finite reflection groups. Zbl 0092.13904 Steinberg, Robert	51	1959
Eigenvalues of the unitary part of a matrix. Zbl 0087.01703 Horn, Alfred; Steinberg, Robert	14	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	44	1957
Prime power representations of finite linear groups. Zbl 0073.01502 Steinberg, Robert	25	1956
The representations of \(GL(3,q)\), \(GL(4,q)\), \(PGL(3,q)\), and \(PGL(4,q)\). Zbl 0042.25602 Steinberg, Robert	60	1951
A geometric approach to the representations of the full linear group over a Galois field. Zbl 0045.30201 Steinberg, R.	60	1951

all cited Publications top 5 cited Publications

all top 5

Cited by 2,120 Authors

38	Guralnick, Robert Michael
34	Zalesski, Alexandre Efimovich
33	Vavilov, Nikolaĭ Aleksandrovich
27	Liebeck, Martin Walter
27	Röhrle, Gerhard
25	Lusztig, George
23	Gordeev, Nikolai L.
22	Suprunenko, Irina Dmitrievna
21	Testerman, Donna Marie
21	Tiep Pham Huu
17	Nuzhin, Yakov Nifant’evich
17	Parshall, Brian J.
17	Seitz, Gary M.
16	Bunina, Elena Igor’evna
16	Burness, Timothy C.
16	Garibaldi, Skip
16	Plotkin, Eugene
16	Springer, Tonny Albert
15	Malle, Gunter
14	Osinovskaya, Anna A.
14	Shalev, Aner
13	Kantor, William M.
13	Morita, Jun
13	Panyushev, Dmitri Ivanovich
12	Geck, Meinolf
12	Premet, Alexander A.
11	Lehrer, Gustav Isaac
11	Navarro Ortega, Gabriel
11	Pianzola, Arturo
10	Borovik, Alexandre V.
10	Ellers, Erich Werner
10	Griess, Robert L. jun.
10	Humphreys, James E.
10	Kunyavskiĭ, Boris Èmmanuilovich
10	McNinch, George J.
10	Melnikov, Anna
10	Saxl, Jan
10	Scott, Leonard L.
9	Benkart, Georgia McClure
9	Curtis, Charles W.
9	Fleischmann, Peter
9	Fresse, Lucas
9	Friedlander, Eric Mark
9	Fulman, Jason E.
9	Goodwin, Simon M.
9	Gross, Benedict Hyman
9	Helminck, Aloysius G.
9	Hiss, Gerhard
9	Kazhdan, David
9	Kondrat’ev, Anatoliĭ Semenovich
9	Larsen, Michael Jeffrey
9	Steinberg, Robert
9	Stroth, Gernot
8	Biswas, Indranil
8	Lubotzky, Alexander
8	Michel, Jean
8	Nguyễn Quôc Thăng
8	Qiu, Li
8	Reeder, Mark
8	Reiner, Victor
8	Renner, Lex E.
8	Richardson, Roger Wolcott
8	Taylor, Jay
7	Chernousov, Vladimir I.
7	Cline, Edward T.
7	Donkin, Stephen
7	He, Xuhua
7	Hesselink, Wim H.
7	Jantzen, Jens Carsten
7	Liechti, Livio
7	Marion, Claude
7	Pevzner, Igor’ M.
7	Rapinchuk, Andrei S.
7	Shepler, Anne V.
7	Shoji, Toshiaki
7	Singh, Anupam
7	Thomas, Adam R.
7	Veldkamp, Ferdinand Douwe
6	Aizenbud, Avraham
6	Azad, Hassan
6	Bhunia, Sushil
6	Borho, Walter
6	Borovoi, Mikhail V.
6	Brundan, Jonathan
6	Chen, Yu
6	Digne, François
6	Dyer, Matthew J.
6	Fioresi, Rita
6	Flicker, Yuval Z.
6	Grechkoseeva, Mariya Aleksandrovna
6	Hai, Nguyen Dang Ho
6	Harper, Scott
6	Hoge, Torsten
6	Joseph, Anthony
6	Kawanaka, Noriaki
6	Kleshchev, Alexander S.
6	Lakshmibai, Venkatramani
6	Levy, Paul D.
6	Martin, Benjamin M. S.
6	Nakano, Daniel K.
...and 2,020 more Authors

all top 5

Cited in 255 Serials

546	Journal of Algebra
108	Communications in Algebra
102	Advances in Mathematics
99	Transactions of the American Mathematical Society
83	Inventiones Mathematicae
62	Mathematische Zeitschrift
59	Journal of Pure and Applied Algebra
57	Representation Theory
55	Transformation Groups
52	Journal of Mathematical Sciences (New York)
51	Proceedings of the American Mathematical Society
41	Mathematische Annalen
40	Duke Mathematical Journal
36	Israel Journal of Mathematics
32	Compositio Mathematica
29	Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
28	Linear Algebra and its Applications
27	St. Petersburg Mathematical Journal
26	Archiv der Mathematik
24	Journal of Algebraic Combinatorics
24	Journal of Group Theory
23	Algebras and Representation Theory
22	Memoirs of the American Mathematical Society
22	Indagationes Mathematicae. New Series
21	Algebra and Logic
20	Journal of Soviet Mathematics
20	Manuscripta Mathematica
20	Journal of Algebra and its Applications
18	Publications Mathématiques
18	Tôhoku Mathematical Journal. Second Series
17	Bulletin of the American Mathematical Society. New Series
16	Journal of Number Theory
16	Comptes Rendus. Mathématique. Académie des Sciences, Paris
15	Communications in Mathematical Physics
15	Journal of Combinatorial Theory. Series A
15	Proceedings of the Japan Academy. Series A
15	Journal of the American Mathematical Society
14	Mathematical Notes
14	Annales de l’Institut Fourier
14	Annals of Mathematics. Second Series
14	Bulletin of the American Mathematical Society
13	Journal of the London Mathematical Society. Second Series
13	Nagoya Mathematical Journal
13	Pacific Journal of Mathematics
13	Proceedings of the London Mathematical Society. Third Series
13	Selecta Mathematica. New Series
13	Journal of the European Mathematical Society (JEMS)
13	Algebra & Number Theory
13	Forum of Mathematics, Sigma
12	Siberian Mathematical Journal
11	Functional Analysis and its Applications
11	Michigan Mathematical Journal
11	International Journal of Algebra and Computation
11	Documenta Mathematica
11	Journal of the Institute of Mathematics of Jussieu
10	Geometriae Dedicata
10	European Journal of Combinatorics
9	Mathematical Proceedings of the Cambridge Philosophical Society
9	Journal für die Reine und Angewandte Mathematik
9	Journal of Lie Theory
9	Algebraic & Geometric Topology
9	Proceedings of the Steklov Institute of Mathematics
8	Bulletin of the Australian Mathematical Society
8	Bulletin of the London Mathematical Society
8	Bulletin de la Société Mathématique de France
8	Bulletin des Sciences Mathématiques
8	European Journal of Mathematics
8	Algebraic Combinatorics
7	Discrete Mathematics
7	Linear and Multilinear Algebra
7	Rendiconti del Seminario Matematico della Università di Padova
7	Journal of Symbolic Computation
7	Proceedings of the Indian Academy of Sciences. Mathematical Sciences
7	Journal of High Energy Physics
7	Journal of Topology
6	Journal of Mathematical Physics
6	Trudy Instituta Matematiki
6	Transactions of the American Mathematical Society. Series B
5	Journal of Geometry and Physics
5	Proceedings of the Edinburgh Mathematical Society. Series II
5	Publications of the Research Institute for Mathematical Sciences, Kyoto University
5	Advances in Applied Mathematics
5	Acta Applicandae Mathematicae
5	Forum Mathematicum
5	International Journal of Mathematics
5	Expositiones Mathematicae
5	The Electronic Journal of Combinatorics
5	Journal of the Australian Mathematical Society
5	SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5	Groups, Geometry, and Dynamics
4	Ukrainian Mathematical Journal
4	Canadian Journal of Mathematics
4	Glasgow Mathematical Journal
4	Journal of Functional Analysis
4	Mathematische Nachrichten
4	Osaka Journal of Mathematics
4	\(K\)-Theory
4	Designs, Codes and Cryptography
4	Mémoires de la Société Mathématique de France. Nouvelle Série
4	Annals of Combinatorics
...and 155 more Serials

all top 5

Cited in 48 Fields

1,804	Group theory and generalizations (20-XX)
554	Algebraic geometry (14-XX)
484	Nonassociative rings and algebras (17-XX)
367	Topological groups, Lie groups (22-XX)
276	Number theory (11-XX)
210	Combinatorics (05-XX)
114	Associative rings and algebras (16-XX)
92	Commutative algebra (13-XX)
88	Geometry (51-XX)
69	Linear and multilinear algebra; matrix theory (15-XX)
69	Algebraic topology (55-XX)
66	\(K\)-theory (19-XX)
62	Manifolds and cell complexes (57-XX)
53	Several complex variables and analytic spaces (32-XX)
51	Differential geometry (53-XX)
50	Quantum theory (81-XX)
38	Convex and discrete geometry (52-XX)
35	Category theory; homological algebra (18-XX)
29	Field theory and polynomials (12-XX)
29	Dynamical systems and ergodic theory (37-XX)
25	Mathematical logic and foundations (03-XX)
20	Computer science (68-XX)
19	Global analysis, analysis on manifolds (58-XX)
18	Order, lattices, ordered algebraic structures (06-XX)
17	Special functions (33-XX)
17	Abstract harmonic analysis (43-XX)
14	Functional analysis (46-XX)
11	Information and communication theory, circuits (94-XX)
9	Functions of a complex variable (30-XX)
9	Operator theory (47-XX)
9	Probability theory and stochastic processes (60-XX)
8	Partial differential equations (35-XX)
7	Numerical analysis (65-XX)
6	General and overarching topics; collections (00-XX)
5	Relativity and gravitational theory (83-XX)
5	Systems theory; control (93-XX)
4	History and biography (01-XX)
4	Ordinary differential equations (34-XX)
4	Harmonic analysis on Euclidean spaces (42-XX)
3	Real functions (26-XX)
3	Potential theory (31-XX)
3	Difference and functional equations (39-XX)
3	Statistical mechanics, structure of matter (82-XX)
2	Mechanics of particles and systems (70-XX)
2	Operations research, mathematical programming (90-XX)
1	Measure and integration (28-XX)
1	Approximations and expansions (41-XX)
1	General topology (54-XX)

Citations by Year

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