Charles W. Curtis | Academic Influence

Charles W. Curtis's AcademicInfluence.com Rankings

Charles W. Curtis

Mathematics

#3779

World Rank

#5502

Historical Rank

#1366

USA Rank

Measure Theory

#1193

World Rank

#1519

Historical Rank

#432

USA Rank

mathematics Degrees

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Mathematics

Charles W. Curtis's Degrees

PhD Mathematics University of Chicago

Why Is Charles W. Curtis Influential?

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According to Wikipedia, Charles Whittlesey Curtis is a mathematician and historian of mathematics, known for his work in finite group theory and representation theory. He is a retired professor of mathematics at the University of Oregon.

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Charles W. Curtis'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

Representation theory of finite groups and associated algebras (1962) (3126)
Methods of Representation Theory (1981) (1613)
Methods of representation theory--with applications to finite groups and orders (1981) (716)
Seminar on Algebraic Groups and Related Finite Groups (1970) (691)
Representations of finite groups of Lie type (1979) (471)
Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs (1971) (168)
The 2-transitive permutation representa-tions of the finite Chevalley groups (1976) (149)
The steinberg character of a finite group with a (B, N)-pair (1966) (122)
On the degrees and rationality of certain characters of finite Chevalley groups (1972) (113)
Representations of Lie Algebras of Classical Type with Applications to Linear Groups (1960) (96)
Linear Algebra: An Introductory Approach (1984) (94)
Truncation and duality in the character ring of a finite group of Lie type (1980) (88)
Pioneers of Representation Theory: Frobenius, Burnside, Schur, and Brauer (1999) (73)
On centralizer rings and characters of representations of finite groups (1968) (57)
On Lusztig's isomorphism theorem for Hecke algebras (1985) (52)
Pioneers of representation theory (1962) (50)
Central extensions of groups of Lie type. (1965) (41)
Spherical buildings and the character of the Steinberg representation (1980) (37)
Corrections and additions to: “On the degrees and rationality of certain characters of finite Chevalley groups” (Trans. Amer. Math. Soc. 165 (1972), 251–273) by C. T. Benson and Curtis (1975) (25)
Noncommutative extensions of Hilbert rings (1953) (25)
Reduction theorems for characters of finite groups of Lie type (1975) (23)
A further refinement of the Bruhat decomposition (1988) (22)
The structure of non-semisimple algebras (1954) (19)
On Additive Ideal Theory in General Rings (1952) (19)
On algebras with a finite number of indecomposable modules (1965) (17)
The Mathematical writings of Évariste Galois (2012) (16)
Irreducible representations of finite groups of Lie type. (1965) (16)
Representation theory of finite groups: From frobenius to brauer (1992) (15)
On projective representations of certain finite groups (1960) (14)
Unitary Kloosterman Sums and the Gelfand–Graev Representation of GL2☆☆☆ (1999) (13)
A note on noncommutative polynomials (1952) (11)
A new proof of a theorem of Solomon-Tits (1982) (10)
Polynomial representations of _{}(ℂ) (1999) (10)
Review: Jacques Tits, Buildings of spherical type and finite $BN$-pairs (1975) (10)
Homology representations of finite groups (1980) (8)
On Commuting Rings Of Endomorphisms (1956) (8)
A note on the representations of nilpotent Lie algebras (1954) (7)
On the dimensions of the irreducible modules of Lie algebras of classical type (1960) (7)
Notes on the structure constants of Hecke algebras of induced representations of finite Chevalley groups (2015) (7)
On problems concerning the Bruhat decomposition and structure constants of Hecke algebras of finite Chevalley groups (2009) (6)
The Classical Groups as a Source of Algebraic Problems (1967) (6)
On the Endomorphism Algebras of Gelfand-Graev Representations (1994) (5)
A norm map for endomorphism algebras of Gelfand-Graev representations (1997) (5)
Zeta Functions and Functional Equations Associated with the Components of the Gelfand-Graev Representations of a Finite Reductive Group (2004) (5)
Groups with a Bruhat decomposition (1964) (5)
Quasi-Frobenius rings and Galois theory (1959) (4)
Generic chain complexes and finite Coxeter groups. (1985) (4)
Modules whose annihilators are direct summands. (1958) (3)
MAA Studies in Mathematics, Volume 2, Studies in Modern Algebra. (1964) (3)
Representation theory of Hecke algebras (1987) (3)
Linear Transformations and Matrices (1984) (2)
Euclidean geometry based on ruler and protractor axioms (1961) (2)
Topics in the theory of representations of finite groups (1986) (2)
A Note on the Connections between the Generalized Characters of Deligne and Lusztig and the Cuspidal Characters of Reductive Groups over Finite Fields (1976) (2)
On Lie algebras of algebraic linear transformations (1956) (2)
Symmetry: An Introduction to Group Theory and Its Applications. R. McWeeny. Pergamon, London; Macmillan, New York, 1963. xiv + 248 pp. Illus. $7.50 (1964) (2)
An isomorphism theorem for certain finite groups (1963) (1)
Mathematics: Symmetry: An Introduction to Group Theory and Its Applications . R. McWeeny. Pergamon, London; Macmillan, New York, 1963. xiv + 248 pp. Illus. $7.50. (1964) (0)
American Mathematical Society Edited by with the Cooperation of Index to Volume 15 [december Cohomology of Groups in Arbitrary Categories (0)
Vector Spaces with an Inner Product (1984) (0)
Some Applications of Linear Algebra (1984) (0)
Polynomials and Complex Numbers (1984) (0)
Flash Photographs of Bullet Penetration in British Plastic Armor (1942) (0)
Representations of Hecke algebras (2019) (0)
Modular representation theory (1999) (0)
Representations of Hecke algebras (2019) (0)
New Directions in Representation Theory (2012) (0)
Richard Brauer and Emmy Noether: 1926-1933 (1999) (0)
Background from group theory (2006) (0)
A century of representation theory of finite groups (1990) (0)
A Note on Induced Modules (1961) (0)
Representations and modules (2006) (0)
Algebraic number theory (2006) (0)
PROJECTIVE REPRESENTATIONS AND INDUCED (2010) (0)
A character-theoretic criterion for a coset geometry to be a generalized polygon (1967) (0)
Non-semi-simple rings (2006) (0)
Errata: A Note on the Representations of Nilpotent Lie Algebras (1954) (0)
Errata: A Note on Noncommutative Polynomials (1953) (0)
ON PROJECTIVE REPRESENTATIONS OF CERTAIN FINITE GROUPS 1 (2010) (0)
The Mathematical Writings of Évariste Galois–A Book Review (2012) (0)
Semi-simple rings and group algebras (2006) (0)
Linear Algebra.@@@Linear Algebra: An Introductory Approach.@@@Linear Algebra with Applications.@@@Applications of Linear Algebra. (1986) (0)
Splitting fields and separable algebras (2006) (0)
A Duality Operation in the Character Ring of a Finite Group of Lie Type (1982) (0)
STRUCTURE OF CERTAIN INDUCED REPRESENTATIONS OF COMPLEX SEMISIMPLE LIE ALGEBRAS (2007) (0)
Some 19th-century algebra and number theory (1999) (0)
Review: I. Martin Isaacs, Character theory of finite groups (1977) (0)
Representations of Groups (Hermann Boerner) (1964) (0)
Introduction to Linear Algebra (1984) (0)
Burnside: Representations and structure of finite groups (1999) (0)
On the irreducible components of a Gelfand–Graev representation of a finite Chevalley group (2020) (0)
The Theory of a Single Linear Transformation (1984) (0)
Frobenius and the invention of character theory (1999) (0)
New Directions in Representation Theory (2012) (0)
Vector Spaces and Systems of Linear Equations (1984) (0)
Sketches from His Life and Work (2016) (0)
Dual Vector Spaces and Multilinear Algebra (1984) (0)
Studies in Mathematics, Volume II. Euclidean Geometry Based on Ruler and Protractor Axioms. Second Revised Edition. (1961) (0)
Orthogonal and Unitary Transformations (1984) (0)
Richard Brauer: Sketches from His Life and Work (2003) (0)

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