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Carter, Roger William

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Author ID: carter.roger-william Recent zbMATH articles by "Carter, Roger William"
Published as: Carter, R.; Carter, R. W.; Carter, Roger; Carter, Roger W.; Carter, Roger William
External Links: MGP · Wikidata · GND
Documents Indexed: 57 Publications since 1959, including 13 Books

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 2,821 times in 2,359 Documents Cited by Year
Finite groups of Lie type. Conjugacy classes and complex characters. Zbl 0567.20023
Carter, Roger W.
708
1985
Simple groups of Lie type. Zbl 0248.20015
Carter, Roger W.
670
1972
Conjugacy classes in the Weyl group. Zbl 0254.17005
Carter, R. W.
200
1972
Simple groups of Lie type. Reprint of the 1972 orig. Zbl 0723.20006
Carter, Roger W.
142
1989
On the modular representations of the general linear and symmetric groups. Zbl 0298.20009
Carter, Roger W.; Lusztig, George
107
1974
The J-normalizers of a finite soluble group. Zbl 0167.29201
Carter, Roger; Hawkes, T.
97
1967
The Sylow 2-subgroups of the finite classical groups. Zbl 0123.02901
Carter, Roger; Fong, Paul
85
1964
Lie algebras of finite and affine type. Zbl 1110.17001
Carter, Roger
67
2005
Extreme classes of finite soluble groups. Zbl 0177.03902
Carter, Roger; Fischer, B.; Hawkes, T.
60
1968
Classes of unipotent elements in simple algebraic groups. II. Zbl 0364.22007
Bala, P.; Carter, R. W.
58
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
Classes of unipotent elements in simple algebraic groups. I. Zbl 0364.22006
Bala, P.; Carter, R. W.
52
1976
Simple groups and simple Lie algebras. Zbl 0232.20017
Carter, R. W.
51
1965
Nilpotent self-normalizing subgroups of soluble groups. Zbl 0168.27301
Carter, R. W.
50
1961
Complex representation theory of finite groups of Lie type. Zbl 0458.20005
Carter, R. W.
45
1980
Centralizers of semisimple elements in the finite classical groups. Zbl 0455.20035
Carter, R. W.
42
1981
Representation theory of the 0-Hecke algebra. Zbl 0624.20007
Carter, R. W.
36
1986
Lectures on Lie groups and Lie algebras. Zbl 0832.22001
Carter, Roger; Segal, Graeme; Macdonald, Ian
30
1995
On homomorphisms between Weyl modules and Specht modules. Zbl 0429.20014
Carter, R. W.; Payne, M. T. J.
29
1980
Centralizers of semisimple elements in finite groups of Lie type. Zbl 0408.20031
Carter, R. W.
27
1978
Modular representations of finite groups of Lie type. Zbl 0338.20013
Carter, R. W.; Lusztig, G.
25
1976
Nilpotent self-normalizing subgroups and system normalizers. Zbl 0106.24602
Carter, R. W.
22
1962
On a class of finite soluble groups. Zbl 0168.27205
Carter, R. W.
20
1959
Automorphisms of affine Kac-Moody groups and related Chevalley groups over rings. Zbl 0783.22007
Carter, R. W.; Chen, Yu
19
1993
Conjugacy classes in the Weyl group. Zbl 0269.20038
Carter, R.
18
1970
The relation between irreducible characters and conjugacy classes in finite groups of Lie type. Zbl 0900.20021
Carter, R. W.
16
1988
Splitting properties of soluble groups. Zbl 0104.24903
Carter, R. W.
15
1961
The submodule structure of Weyl modules for groups of type Asub(1). Zbl 0356.20048
Carter, R.; Cline, E.
14
1976
A note on the parametrization of conjugacy classes. Zbl 0239.20053
Carter, R. W.; Elkington, G. B.
11
1972
Normal complements of nilpotent self-normalizing subgroups. Zbl 0100.02704
Carter, Roger W.
9
1962
Regions of linearity, Lusztig cones, and canonical basis elements for the quantized enveloping algebra of type \(A_4\). Zbl 0999.17024
Carter, Roger; Marsh, Robert
7
2000
Cuspidal matrix representations for \(\text{GL}_ 2(q)\) and \(\text{GL}_ 3(q)\). Zbl 0813.20045
Carter, R. W.
7
1992
Kac-Moody groups and their automorphisms. Zbl 0822.22012
Carter, R. W.
4
1992
The classification of unipotent and nilpotent elements. Zbl 0292.20046
Bala, P.; Carter, R. W.
3
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
Weyl groups and finite Chevalley groups. Zbl 0198.04501
Carter, R. W.
3
1970
Semisimple conjugacy classes and classes in the Weyl group. Zbl 1080.20047
Carter, Roger
2
2003
Canonical bases, reduced words, and Lusztig’s piecewise-linear function. Zbl 1013.17010
Carter, R. W.
2
1997
On the modular representations of the general linear and symmetric groups. Zbl 0301.20005
Carter, R. W.; Lusztig, G.
2
1974
A survey of the work of George Lusztig (with a list of his publications). Zbl 1139.01010
Carter, R. W.
1
2006
Introduction to algebraic groups and Lie algebras. Zbl 0918.20038
Carter, Roger W.
1
1998
On the representation theory of the finite groups of Lie type over an algebraically closed field of characteristic \(0\). Zbl 0832.20020
Carter, R. W.
1
1991
Irreducible characters of finite groups of Lie type. Zbl 0657.20034
Carter, R. W.
1
1987
Raising and lowering operators for \({\mathfrak s}\ell_ n\), with applications to orthogonal bases of \({\mathfrak sl}_ n\)- modules. Zbl 0656.20042
Carter, R. W.
1
1987
On the structure and complex representation theory of finite groups of Lie type. Zbl 0632.20025
Carter, Roger W.
1
1987
Some aspects of the representation theory of finite groups of Lie type. Zbl 0505.20027
Carter, Roger William
1
1979
A survey of the work of George Lusztig (with a list of his publications). Zbl 1139.01010
Carter, R. W.
1
2006
Lie algebras of finite and affine type. Zbl 1110.17001
Carter, Roger
67
2005
Semisimple conjugacy classes and classes in the Weyl group. Zbl 1080.20047
Carter, Roger
2
2003
Regions of linearity, Lusztig cones, and canonical basis elements for the quantized enveloping algebra of type \(A_4\). Zbl 0999.17024
Carter, Roger; Marsh, Robert
7
2000
Introduction to algebraic groups and Lie algebras. Zbl 0918.20038
Carter, Roger W.
1
1998
Canonical bases, reduced words, and Lusztig’s piecewise-linear function. Zbl 1013.17010
Carter, R. W.
2
1997
Lectures on Lie groups and Lie algebras. Zbl 0832.22001
Carter, Roger; Segal, Graeme; Macdonald, Ian
30
1995
Automorphisms of affine Kac-Moody groups and related Chevalley groups over rings. Zbl 0783.22007
Carter, R. W.; Chen, Yu
19
1993
Cuspidal matrix representations for \(\text{GL}_ 2(q)\) and \(\text{GL}_ 3(q)\). Zbl 0813.20045
Carter, R. W.
7
1992
Kac-Moody groups and their automorphisms. Zbl 0822.22012
Carter, R. W.
4
1992
On the representation theory of the finite groups of Lie type over an algebraically closed field of characteristic \(0\). Zbl 0832.20020
Carter, R. W.
1
1991
Simple groups of Lie type. Reprint of the 1972 orig. Zbl 0723.20006
Carter, Roger W.
142
1989
The relation between irreducible characters and conjugacy classes in finite groups of Lie type. Zbl 0900.20021
Carter, R. W.
16
1988
Irreducible characters of finite groups of Lie type. Zbl 0657.20034
Carter, R. W.
1
1987
Raising and lowering operators for \({\mathfrak s}\ell_ n\), with applications to orthogonal bases of \({\mathfrak sl}_ n\)- modules. Zbl 0656.20042
Carter, R. W.
1
1987
On the structure and complex representation theory of finite groups of Lie type. Zbl 0632.20025
Carter, Roger W.
1
1987
Representation theory of the 0-Hecke algebra. Zbl 0624.20007
Carter, R. W.
36
1986
Finite groups of Lie type. Conjugacy classes and complex characters. Zbl 0567.20023
Carter, Roger W.
708
1985
Centralizers of semisimple elements in the finite classical groups. Zbl 0455.20035
Carter, R. W.
42
1981
Complex representation theory of finite groups of Lie type. Zbl 0458.20005
Carter, R. W.
45
1980
On homomorphisms between Weyl modules and Specht modules. Zbl 0429.20014
Carter, R. W.; Payne, M. T. J.
29
1980
Some aspects of the representation theory of finite groups of Lie type. Zbl 0505.20027
Carter, Roger William
1
1979
Centralizers of semisimple elements in finite groups of Lie type. Zbl 0408.20031
Carter, R. W.
27
1978
Classes of unipotent elements in simple algebraic groups. II. Zbl 0364.22007
Bala, P.; Carter, R. W.
58
1976
Classes of unipotent elements in simple algebraic groups. I. Zbl 0364.22006
Bala, P.; Carter, R. W.
52
1976
Modular representations of finite groups of Lie type. Zbl 0338.20013
Carter, R. W.; Lusztig, G.
25
1976
The submodule structure of Weyl modules for groups of type Asub(1). Zbl 0356.20048
Carter, R.; Cline, E.
14
1976
On the modular representations of the general linear and symmetric groups. Zbl 0298.20009
Carter, Roger W.; Lusztig, George
107
1974
The classification of unipotent and nilpotent elements. Zbl 0292.20046
Bala, P.; Carter, R. W.
3
1974
On the modular representations of the general linear and symmetric groups. Zbl 0301.20005
Carter, R. W.; Lusztig, G.
2
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
Simple groups of Lie type. Zbl 0248.20015
Carter, Roger W.
670
1972
Conjugacy classes in the Weyl group. Zbl 0254.17005
Carter, R. W.
200
1972
A note on the parametrization of conjugacy classes. Zbl 0239.20053
Carter, R. W.; Elkington, G. B.
11
1972
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
Conjugacy classes in the Weyl group. Zbl 0269.20038
Carter, R.
18
1970
Weyl groups and finite Chevalley groups. Zbl 0198.04501
Carter, R. W.
3
1970
Extreme classes of finite soluble groups. Zbl 0177.03902
Carter, Roger; Fischer, B.; Hawkes, T.
60
1968
The J-normalizers of a finite soluble group. Zbl 0167.29201
Carter, Roger; Hawkes, T.
97
1967
Simple groups and simple Lie algebras. Zbl 0232.20017
Carter, R. W.
51
1965
The Sylow 2-subgroups of the finite classical groups. Zbl 0123.02901
Carter, Roger; Fong, Paul
85
1964
Nilpotent self-normalizing subgroups and system normalizers. Zbl 0106.24602
Carter, R. W.
22
1962
Normal complements of nilpotent self-normalizing subgroups. Zbl 0100.02704
Carter, Roger W.
9
1962
Nilpotent self-normalizing subgroups of soluble groups. Zbl 0168.27301
Carter, R. W.
50
1961
Splitting properties of soluble groups. Zbl 0104.24903
Carter, R. W.
15
1961
On a class of finite soluble groups. Zbl 0168.27205
Carter, R. W.
20
1959
all top 5

Cited by 1,809 Authors

44 Tiep Pham Huu
30 Vavilov, Nikolaĭ Aleksandrovich
28 Navarro, Gabriel
27 Malle, Gunter
24 Liebeck, Martin Walter
19 Guralnick, Robert Michael
18 Geck, Meinolf
18 Griess, Robert L. jun.
17 Putcha, Mohan S.
16 Gordeev, Nikolai L.
16 Zalesski, Alexandre Efimovich
15 Hiss, Gerhard
15 Tong-Viet, Hung P.
14 Kondrat’ev, Anatoliĭ Semenovich
14 Pérez-Ramos, María Dolores
14 Revin, Danila Olegovitch
14 Vdovin, Evgeniĭ Petrovich
13 Carter, Roger William
13 Dipper, Richard
13 Himstedt, Frank
13 Magaard, Kay
13 Röhrle, Gerhard E.
13 Seitz, Gary M.
13 Shalev, Aner
12 Kantor, William M.
12 Praeger, Cheryl Elisabeth
12 Vinroot, C. Ryan
12 White, Donald L.
11 An, Jianbei
11 Brunat, Olivier
11 Fulman, Jason E.
11 Hawkes, Trevor O.
11 Liu, Yanjun
11 Lusztig, George
11 Timmesfeld, Franz Georg
10 Bunina, E. I.
10 Burness, Timothy C.
10 Ciubotaru, Dan
10 Ellers, Erich W.
10 Hartley, Brian
10 Levchuk, Vladimir Mikhailovich
10 Lewis, Mark L.
10 Lucchini, Andrea
10 Nuzhin, Yakov Nifant’evich
10 Premet, Alexander A.
10 Suleĭmanova, Galina Safiullanovna
10 Zhang, Jiping
9 Arad, Zvi
9 Costantini, Mauro
9 Fayers, Matthew
9 Huang, Shih-Chang
9 Kazarin, Lev S.
9 Lyle, Sinéad
9 Rowley, Peter J.
9 Shi, Jianyi
9 Springer, Tonny Albert
8 Achar, Pramod N.
8 Bryce, Robert Aitken
8 Deriziotis, D. I.
8 Đoković, Dragomir Ž.
8 Doerk, Klaus
8 Donkin, Stephen
8 He, Xuhua
8 Howlett, Robert B.
8 Joseph, Anthony
8 Lehrer, Gustav Isaac
8 Lytkina, Dar’ya Viktorovna
8 Moretó, Alexander
8 Qian, Guohua
8 Reeder, Mark
8 Saxl, Jan
8 Schaeffer Fry, Amanda A.
8 Testerman, Donna M.
7 Ahanjideh, Neda
7 Babai, László
7 Borovik, Alexandre Vasilievich
7 Fleischmann, Peter
7 Kamornikov, Sergey Fedorovich
7 Kleidman, Peter B.
7 Korableva, Vera Vladimirovna
7 Kurdachenko, Leonid Andriĭovych
7 Larsen, Michael Jeffrey
7 Lübeck, Frank
7 Martínez-Pastor, Ana
7 Meierfrankenfeld, Ulrich
7 Pellegrini, Marco Antonio
7 Sommers, Eric N.
7 Vasil’ev, Andreĭ Viktorovich
7 Weigel, Thomas S.
7 Wilson, Robert Arnott
6 Baumeister, Barbara
6 Brandl, Rolf
6 Cabanes, Marc
6 Cao, You’an
6 Capdeboscq, Inna
6 Doty, Stephen R.
6 Goodwin, Simon M.
6 Grechkoseeva, Mariya Aleksandrovna
6 Hu, Jun
6 Levchuk, Vladimir M.
...and 1,709 more Authors
all top 5

Cited in 217 Serials

632 Journal of Algebra
155 Communications in Algebra
74 Advances in Mathematics
69 Mathematische Zeitschrift
69 Transactions of the American Mathematical Society
66 Archiv der Mathematik
66 Journal of Pure and Applied Algebra
44 Inventiones Mathematicae
44 Representation Theory
40 Israel Journal of Mathematics
36 Proceedings of the American Mathematical Society
36 Siberian Mathematical Journal
35 Journal of Group Theory
32 Journal of Mathematical Sciences (New York)
30 Algebra and Logic
30 Journal of Algebraic Combinatorics
27 Journal of Algebra and its Applications
26 Mathematische Annalen
24 Mathematical Proceedings of the Cambridge Philosophical Society
22 Mathematical Notes
22 Transformation Groups
21 Bulletin of the Australian Mathematical Society
21 Journal of Combinatorial Theory. Series A
19 Duke Mathematical Journal
19 Manuscripta Mathematica
17 Rendiconti del Seminario Matematico della Università di Padova
17 International Journal of Algebra and Computation
17 Linear Algebra and its Applications
16 St. Petersburg Mathematical Journal
16 Algebras and Representation Theory
16 Proceedings of the Steklov Institute of Mathematics
15 Compositio Mathematica
13 Communications in Mathematical Physics
13 Memoirs of the American Mathematical Society
13 Journal of High Energy Physics
12 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
12 Journal of Symbolic Computation
11 Geometriae Dedicata
11 Journal of Number Theory
11 Journal of Soviet Mathematics
11 Indagationes Mathematicae. New Series
11 Journal of the Australian Mathematical Society
10 Annales de l’Institut Fourier
10 Acta Applicandae Mathematicae
10 Journal of the American Mathematical Society
9 LMS Journal of Computation and Mathematics
9 Science China. Mathematics
9 Journal of Siberian Federal University. Mathematics & Physics
8 Discrete Mathematics
8 Journal of Mathematical Physics
8 Nagoya Mathematical Journal
8 European Journal of Combinatorics
8 Finite Fields and their Applications
8 Selecta Mathematica. New Series
8 Annals of Mathematics. Second Series
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Glasgow Mathematical Journal
7 Proceedings of the Edinburgh Mathematical Society. Series II
7 Bulletin of the American Mathematical Society. New Series
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Journal of Lie Theory
6 Forum of Mathematics, Sigma
5 Ukrainian Mathematical Journal
5 Publications Mathématiques
5 Journal of Functional Analysis
5 Journal für die Reine und Angewandte Mathematik
5 Monatshefte für Mathematik
5 Proceedings of the Japan Academy. Series A
5 Algebra Colloquium
5 Journal of the European Mathematical Society (JEMS)
5 Frontiers of Mathematics in China
5 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
4 Linear and Multilinear Algebra
4 Rocky Mountain Journal of Mathematics
4 Mathematics of Computation
4 Journal of Geometry and Physics
4 Proceedings of the London Mathematical Society. Third Series
4 Tohoku Mathematical Journal. Second Series
4 Revista Matemática Iberoamericana
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Experimental Mathematics
4 Journal de Théorie des Nombres de Bordeaux
4 Sbornik: Mathematics
4 Doklady Mathematics
3 International Journal of Modern Physics A
3 Physics Letters. B
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Applied Mathematics and Computation
3 Czechoslovak Mathematical Journal
3 Forum Mathematicum
3 International Journal of Mathematics
3 Geometric and Functional Analysis. GAFA
3 Mémoires de la Société Mathématique de France. Nouvelle Série
3 Journal of Algebraic Geometry
3 Séminaire Lotharingien de Combinatoire
3 Geometry & Topology
3 Communications in Contemporary Mathematics
3 Advances in Geometry
3 Sibirskie Èlektronnye Matematicheskie Izvestiya
3 Groups, Geometry, and Dynamics
...and 117 more Serials
all top 5

Cited in 46 Fields

1,836 Group theory and generalizations (20-XX)
359 Nonassociative rings and algebras (17-XX)
247 Combinatorics (05-XX)
202 Algebraic geometry (14-XX)
180 Topological groups, Lie groups (22-XX)
128 Number theory (11-XX)
111 Associative rings and algebras (16-XX)
55 Geometry (51-XX)
46 Quantum theory (81-XX)
39 Computer science (68-XX)
38 Linear and multilinear algebra; matrix theory (15-XX)
32 Order, lattices, ordered algebraic structures (06-XX)
27 Algebraic topology (55-XX)
24 Manifolds and cell complexes (57-XX)
23 Mathematical logic and foundations (03-XX)
20 Commutative algebra (13-XX)
18 Special functions (33-XX)
17 Field theory and polynomials (12-XX)
16 Convex and discrete geometry (52-XX)
15 Differential geometry (53-XX)
15 Information and communication theory, circuits (94-XX)
13 Dynamical systems and ergodic theory (37-XX)
12 Category theory; homological algebra (18-XX)
11 Abstract harmonic analysis (43-XX)
10 Several complex variables and analytic spaces (32-XX)
10 Probability theory and stochastic processes (60-XX)
9 \(K\)-theory (19-XX)
8 Relativity and gravitational theory (83-XX)
7 Global analysis, analysis on manifolds (58-XX)
6 Functional analysis (46-XX)
6 Operator theory (47-XX)
6 Numerical analysis (65-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 General and overarching topics; collections (00-XX)
4 Partial differential equations (35-XX)
2 Ordinary differential equations (34-XX)
2 Approximations and expansions (41-XX)
1 History and biography (01-XX)
1 General algebraic systems (08-XX)
1 Difference and functional equations (39-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

Citations by Year

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