Roger Carter
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British mathematician
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Roger Carter mathematics Degrees
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Measure Theory
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Mathematics
Roger Carter 's Degrees
- Masters Mathematics University of Oxford
- Bachelors Mathematics University of Oxford
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Why Is Roger Carter Influential?
(Suggest an Edit or Addition)According to Wikipedia, Roger William Carter was a British mathematician who was emeritus professor at the University of Warwick. He defined Carter subgroups and wrote the standard reference Simple Groups of Lie Type. He obtained his PhD at the University of Cambridge in 1960 and his dissertation was entitled Some Contributions to the Theory of Finite Soluble Groups, with Derek Taunt as thesis advisor. Carter died in Wirral on 21 February 2022, at the age of 87.
Roger Carter 's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Lie Groups (1970) (2502)
- Finite groups of Lie type: Conjugacy classes and complex characters (1985) (1531)
- REFLECTION GROUPS AND COXETER GROUPS (Cambridge Studies in Advanced Mathematics 29) (1991) (1246)
- Seminar on Algebraic Groups and Related Finite Groups (1970) (691)
- Conjugacy classes in the Weyl group (1970) (602)
- Lie Algebras of Finite and Affine Type (2005) (296)
- On the modular representations of the general linear and symmetric groups (1974) (213)
- INTRODUCTION TO QUANTUM GROUPS (Progress in Mathematics 110) (1995) (197)
- Lectures on Lie groups and Lie algebras (1995) (178)
- The sylow 2-subgroups of the finite classical groups (1964) (175)
- Classes of unipotent elements in simple algebraic groups. II (1976) (162)
- THE SUBGROUP STRUCTURE OF THE FINITE CLASSICAL GROUPS (London Mathematical Society Lecture Note Series 129) (1991) (154)
- The ϵJ-normalizers of a finite soluble group (1967) (137)
- LECTURES ON QUANTUM GROUPS (Graduate Studies in Mathematics 6) By Jens Carsten Jantzen: 266 pp., US$44.00, ISBN 0 8218 0478 2 (American Mathematical Society, 1996). (1997) (117)
- Centralizers of Semisimple Elements in the Finite Classical Groups (1981) (111)
- Nilpotent self-normalizing subgroups of soluble groups (1961) (107)
- Simple Groups and Simple Lie Algebras (1965) (98)
- CONJUGACY CLASSES IN SEMISIMPLE ALGEBRAIC GROUPS (Mathematical Surveys and Monographs 43) (1996) (91)
- Representation theory of the 0-Hecke algebra (1986) (87)
- LINEAR ALGEBRAIC GROUPS: (Progress in Mathematics, 9) (1982) (81)
- Lie Algebras of Finite and Affine Type: Contents (2005) (75)
- Extreme classes of finite soluble groups (1968) (72)
- THE KAZHDAN‐LUSZTIG CELLS IN CERTAIN AFFINE WEYL GROUPS (Lecture Notes in Mathematics 1179) (1987) (71)
- Centralizers of Semisimple Elements in Finite Groups of Lie Type (1978) (67)
- On homomorphisms between Weyl modules and Specht modules (1980) (62)
- Modular representations of finite groups of Lie type (1976) (53)
- THE SUBMODULE STRUCTURE OF WEYL MODULES FOR GROUPS OF TYPE A1 (1976) (39)
- BASIC THEORY OF ALGEBRAIC GROUPS AND LIE ALGEBRAS (Graduate Texts in Mathematics, 75) (1982) (39)
- CHARACTERS OF REDUCTIVE GROUPS OVER A FINITE FIELD (Annals of Mathematics Studies, 107) (1985) (37)
- Automorphisms of Affine Kac-Moody Groups and Related Chevalley Groups over Rings (1993) (33)
- Nilpotent Self‐Normalizing Subgroups and System Normalizers (1962) (33)
- ALGEBRAIC GEOMETRY IV (Encyclopaedia of Mathematical Sciences 55) (1996) (27)
- INFINITE DIMENSIONAL LIE ALGEBRAS (Progress in Mathematics, 44) (1985) (25)
- On a Class of Finite Soluble Groups (1959) (23)
- Algebraic Groups and Their Representations (1998) (23)
- Splitting Properties of Soluble Groups (1961) (23)
- A note on the parametrization of conjugacy classes (1972) (21)
- Representations of reductive groups (1998) (16)
- Regions of Linearity, Lusztig Cones, and Canonical Basis Elements for the Quantized Enveloping Algebra of Type A4☆ (2000) (14)
- The classification of unipotent and nilpotent elements (1974) (11)
- Normal complements of nilpotent self-normalizing subgroups (1962) (10)
- Weyl ǵroups and finite Chevalley ǵroups (1970) (8)
- Cuspidal Matrix Representations for GL2(q) and GL3(q) (1992) (8)
- ARITHMETIC GROUPS (Lecture Notes in Mathematics, 789) (1982) (7)
- Groups, Combinatorics & Geometry: Kac-Moody groups and, their automorphisms (1992) (7)
- On the Representation Theory of the Finite Groups of Lie Type over an Algebraically Closed Field of Characteristic 0 (1996) (6)
- A Survey of the Work of George Lusztig (2006) (6)
- Lectures on Lie Groups and Lie Algebras: Index (1995) (6)
- Semisimple conjugacy classes and classes in the Weyl group (2003) (4)
- INFINITE DIMENSIONAL LIE SUPERALGEBRAS (1994) (4)
- Representations of Simple Lie Algebras: Modern Variations on a Classical Theme (1998) (3)
- On the structure and complex representation theory of finite groups of Lie type (1987) (3)
- We cannot get there from here. (2000) (2)
- Representations of Reductive Groups: Introduction to algebraic groups and Lie algebras (1998) (2)
- Some aspects of the representation theory of finite groups of Lie type (1977) (2)
- O'Reilly, Alfonso Bernard (1903–1975) (1988) (1)
- Book Review: Characters of finite Coxeter groups and Iwahori-Hecke algebras (2001) (1)
- Lie Algebras of Finite and Affine Type: Representations of affine Kac–Moody algebras (2005) (0)
- Lectures on Lie Groups and Lie Algebras: Homogeneous spaces and quotients (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Representation theory (1995) (0)
- Q A ] 8 A ug 2 00 0 Canonical Bases and Piecewise-linear Combinatorics (2000) (0)
- Lectures on Lie Groups and Lie Algebras: Homogeneous spaces (1995) (0)
- Lie Algebras of Finite and Affine Type: Further properties of the universal enveloping algebra (2005) (0)
- EINHÜLLENDE ALGEBREN HALBEINFACHER LIE‐ALGEBREN (A series of Modern Surveys in Mathematics, 3) (1985) (0)
- Specht Modules for Weyl Groups (1993) (0)
- Lie Algebras of Finite and Affine Type: Some universal constructions (2005) (0)
- THE HISTORY OF MACRAMÉ (1996) (0)
- Affine algebraic varieties (1995) (0)
- Lectures on Lie Groups and Lie Algebras: The Borel-Weil theorem (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Lie theory (1995) (0)
- Lie Algebras of Finite and Affine Type: Bibliography of books on Lie algebras (2005) (0)
- Tangent spaces. Separability (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Simple Lie algebras over ℂ (1995) (0)
- We cannot get there from here. (2001) (0)
- Lectures on Lie Groups and Lie Algebras: Some theorems about matrices (1995) (0)
- Lectures on Lie Groups and Lie Algebras: The Heisenberg group (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Bibliography (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Representations of simple Lie algebras (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Preface (1995) (0)
- Compact groups and integration (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Borel subgroups and maximal tori (1995) (0)
- Lie Algebras of Finite and Affine Type: The invariant form, Weyl group and root system (2005) (0)
- Lectures on Lie Groups and Lie Algebras: Functions on ℝ n and S n -1 (1995) (0)
- Lie Algebras of Finite and Affine Type: Kac–Moody algebras of affine type (2005) (0)
- Lectures on Lie Groups and Lie Algebras: The unitary and symmetric groups (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Linear algebraic groups: definition and elementary properties (1995) (0)
- The Peter-Weyl theorem (1995) (0)
- K. W. Gruenberg and J. E. Roseblade (editors) Collected works of Philip Hall (Clarendon Press, Oxford1988), xii + 776 pp., 0 19 853254 7, £55. (1990) (0)
- Lie Algebras of Finite and Affine Type: Bibliography of articles on Kac–Moody algebras (2005) (0)
- Lectures on Lie Groups and Lie Algebras: Representations of non-compact groups (1995) (0)
- Lie Algebras of Finite and Affine Type: The root system and the Weyl group (2005) (0)
- Lectures on Lie Groups and Lie Algebras: The root structure of a linear algebraic group (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Introduction to Lie algebras (1995) (0)
- Lectures on Lie Groups and Lie Algebras: The complexification of a compact group (1995) (0)
- Lie Algebras of Finite and Affine Type: The existence and uniqueness theorems (2005) (0)
- Lie Algebras of Finite and Affine Type: Appendix (2005) (0)
- Lie Algebras of Finite and Affine Type: The classification of generalised Cartan matrices (2005) (0)
- Lectures on Lie Groups and Lie Algebras: Representations of SL 2ℝ (1995) (0)
- Fundamental modules for simple Lie algebras (2005) (0)
- Canonical Bases and Piecewise-linear Combinatorics (2000) (0)
- SIMPLE GROUPS AND SIMPLE LIE (2006) (0)
- 7 – Graphics and multimedia (1991) (0)
- Lectures on Lie Groups and Lie Algebras: Notes and references (1995) (0)
- Lie Algebras of Finite and Affine Type: Representations of soluble and nilpotent Lie algebras (2005) (0)
- Lie Algebras of Finite and Affine Type: Generalised Cartan matrices and Kac–Moody algebras (2005) (0)
- Lectures on Lie Groups and Lie Algebras: Projective algebraic varieties (1995) (0)
- Lie Algebras of Finite and Affine Type: Notation (2005) (0)
- Lie Algebras of Finite and Affine Type: Realisations of affine Kac–Moody algebras (2005) (0)
- 4 – Languages and programs (1991) (0)
- Lie Algebras of Finite and Affine Type: Irreducible modules for semisimple Lie algebras (2005) (0)
- We cannot get there from here. (2000) (0)
- Algebra Ix: Finite Groups Of Lie Type Finite-Dimensional Division Algebras (2010) (0)
- Resource-Based Relative Value Scale. (1991) (0)
- Lie Algebras of Finite and Affine Type: Preface (2005) (0)
- Lectures on Lie Groups and Lie Algebras: Introduction (1995) (0)
- Lie Algebras of Finite and Affine Type: The Cartan matrix and the Dynkin diagram (2005) (0)
- Lie Algebras of Finite and Affine Type: The Cartan decomposition (2005) (0)
- Lectures on Lie Groups and Lie Algebras: Examples (1995) (0)
- 9 – Data processing (1991) (0)
- Lie Algebras of Finite and Affine Type: Character and dimension formulae (2005) (0)
- Lie Algebras of Finite and Affine Type: Some representations of symmetrisable Kac–Moody algebras (2005) (0)
- Lectures on Lie Groups and Lie Algebras: Maximal compact subgroups (1995) (0)
- The Business of Data Processing (1984) (0)
- Representations of the monster (2002) (0)
- SPECHT MODULES FOR FINITE REFLECTION GROUPS (2003) (0)
- Lectures on Lie Groups and Lie Algebras: SU 2, SO 3, and SL 2ℝ (1995) (0)
- Lie Algebras of Finite and Affine Type: Borcherds Lie algebras (2005) (0)
- Lectures on Lie Groups and Lie Algebras: Induced representations (1995) (0)
- Lie Algebras of Finite and Affine Type: The simple Lie algebras (2005) (0)
- Lectures on Lie Groups and Lie Algebras: The Lie algebra of a linear algebraic group (1995) (0)
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