Charles W. Curtis

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All published works

Action	Title	Year	Authors
+	On the irreducible components of a Gelfand–Graev representation of a finite Chevalley group	2020	Charles W. Curtis
+	Zeta Functions and Functional Equations Associated with the Components of the Gelfand-Graev Representations of a Finite Reductive Group	2019	Charles W. Curtis Ken-ichi Shinoda
+	Sketches from His Life and Work	2016	Charles W. Curtis
+ PDF Chat	Notes on the structure constants of Hecke algebras of induced representations of finite Chevalley groups	2015	Charles W. Curtis
+	The Mathematical Writings of Évariste Galois–A Book Review	2012	Charles W. Curtis
+	New Directions in Representation Theory	2012	Charles W. Curtis
+ PDF Chat	On problems concerning the Bruhat decomposition and structure constants of Hecke algebras of finite Chevalley groups	2009	Charles W. Curtis
+ PDF Chat	Semi-simple rings and group algebras	2006	Charles W. Curtis Irving Reiner
+	Splitting fields and separable algebras	2006	Charles W. Curtis Irving Reiner
+	Non-semi-simple rings	2006	Charles W. Curtis Irving Reiner
+ PDF Chat	Algebraic number theory	2006	Charles W. Curtis Irving Reiner
+	Frobenius algebras	2006	Charles W. Curtis Irving Reiner
+	Representation Theory of Finite Groups and Associative Algebras	2006	Charles W. Curtis Irving Reiner
+	Richard Brauer: Sketches from His Life and Work	2003	Charles W. Curtis
+	Representation Theory of Finite Groups: from Frobenius to Brauer	2001	Charles W. Curtis
+	Polynomial representations of 𝐺𝐿_{𝑛}(ℂ)	1999	Charles W. Curtis
+ PDF Chat	Some 19th-century algebra and number theory	1999	Charles W. Curtis
+	Frobenius and the invention of character theory	1999	Charles W. Curtis
+	Pioneers of Representation Theory: Frobenius, Burnside, Schur, and Brauer	1999	Charles W. Curtis
+	Unitary Kloosterman Sums and the Gelfand–Graev Representation of GL2	1999	Charles W. Curtis Ken-ichi Shinoda
+	A Norm Map for Endomorphism Algebras of Gelfand-Graev Representations	1997	Charles W. Curtis Toshiaki Shoji
+	On the Endomorphism Algebras of Gelfand-Graev Representations	1994	Charles W. Curtis
+	Representation theory of finite groups: From frobenius to brauer	1992	Charles W. Curtis
+	A century of representation theory of finite groups	1990	Charles W. Curtis
+ PDF Chat	A further refinement of the Bruhat decomposition	1988	Charles W. Curtis
+	A Further Refinement of the Bruhat Decomposition	1988	Charles W. Curtis
+	The Hecke algebra of a finite Coxeter group	1987	Charles W. Curtis
+	Topics in the theory of representations of finite groups	1986	Charles W. Curtis
+	On Lusztig's isomorphism theorem for Hecke algebras	1985	Charles W. Curtis
+	Vector Spaces with an Inner Product	1984	Charles W. Curtis
+	Dual Vector Spaces and Multilinear Algebra	1984	Charles W. Curtis
+	Vector Spaces and Systems of Linear Equations	1984	Charles W. Curtis
+	Linear Transformations and Matrices	1984	Charles W. Curtis
+	Polynomials and Complex Numbers	1984	Charles W. Curtis
+	Truncation and duality in the character ring of a finite group of Lie type	1980	Charles W. Curtis
+	Homology representations of finite groups	1980	Charles W. Curtis
+ PDF Chat	Representations of finite groups of Lie type	1979	Charles W. Curtis
+	A Note on the Connections between the Generalized Characters of Deligne and Lusztig and the Cuspidal Characters of Reductive Groups over Finite Fields	1976	Charles W. Curtis
+	The 2-Transitive Permutation Representations of the Finite Chevalley Groups	1976	Charles W. Curtis William M. Kantor Gary M. Seitz
+ PDF Chat	The 2-transitive permutation representations of the finite Chevalley groups	1976	Charles W. Curtis William M. Kantor Gary M. Seitz
+ PDF Chat	Reduction theorems for characters of finite groups of Lie type*	1975	Charles W. Curtis
+ PDF Chat	Book Review: Buildings of spherical type and finite $BN$-pairs	1975	Charles W. Curtis
+	Théorie de hodge, II . C[]-algebras of operators on a half-space, I . C[]-algebras of operators on a half-space II, index theory . Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs . Three dimensional pictures for thom's parabolic umbilic . An extension of Whitney's spectral theorem	1972	Pierre Deligne L. A. Coburn Ronald G. Douglas Charles W. Curtis N. Iwahori Robert W. Kilmoyer A. N. Godwin Jean-Claude Tougeron
+	On centralizer rings and characters of representations of finite groups	1968	Charles W. Curtis Timothy Fossum
+	A character-theoretic criterion for a coset geometry to be a generalized polygon	1967	Charles W. Curtis
+	The steinberg character of a finite group with a (B, N)-pair	1966	Charles W. Curtis
+	Central extensions of groups of Lie type.	1965	Charles W. Curtis
+	Representation Theory of Finite Groups and Associative Algebras.	1965	F. E. J. Linton Charles W. Curtis Irving Reiner
+	Irreducible representations of finite groups of Lie type.	1965	Charles W. Curtis
+	Irreducible representations of finite groups of Lie type.	1965	Charles W. Curtis
+ PDF Chat	Groups with a Bruhat decomposition	1964	Charles W. Curtis
+ PDF Chat	An isomorphism theorem for certain finite groups	1963	Charles W. Curtis
+ PDF Chat	A Note on Induced Modules	1961	Charles W. Curtis
+	Studies in Mathematics, Volume II. Euclidean Geometry Based on Ruler and Protractor Axioms. Second Revised Edition.	1961	Charles W. Curtis
+	Euclidean geometry based on ruler and protractor axioms	1961	Charles W. Curtis P. H. Daus Robert J. Walker
+ PDF Chat	On projective representations of certain finite groups	1960	Charles W. Curtis
+ PDF Chat	On Projective Representations of Certain Finite Groups	1960	Charles W. Curtis
+ PDF Chat	On the Dimensions of the Irreducible Modules of Lie Algebras of Classical Type	1960	Charles W. Curtis
+ PDF Chat	On the dimensions of the irreducible modules of Lie algebras of classical type	1960	Charles W. Curtis
+ PDF Chat	Representations of Lie Algebras of Classical Type with Applications to Linear Groups	1960	Charles W. Curtis
+ PDF Chat	Quasi-Frobenius rings and Galois theory	1959	Charles W. Curtis
+ PDF Chat	Modules whose annihilators are direct summands	1958	Charles W. Curtis
+	Modular Lie Algebras II	1957	Charles W. Curtis
+ PDF Chat	Modular Lie algebras. II	1957	Charles W. Curtis
+ PDF Chat	On Lie algebras of algebraic linear transformations	1956	Charles W. Curtis
+ PDF Chat	Modular Lie Algebras. I	1956	Charles W. Curtis
+ PDF Chat	Modular Lie algebras. I	1956	Charles W. Curtis
+ PDF Chat	A Note on the Representations of Nilpotent Lie Algebras	1954	Charles W. Curtis
+	The structure of non-semisimple algebras	1954	Charles W. Curtis
+ PDF Chat	A note on the representations of nilpotent Lie algebras	1954	Charles W. Curtis
+ PDF Chat	Noncommutative Extensions of Hilbert Rings	1953	Charles W. Curtis
+ PDF Chat	Noncommutative extensions of Hilbert rings	1953	Charles W. Curtis
+ PDF Chat	A Note on Noncommutative Polynomials	1952	Charles W. Curtis
+	On Additive Ideal Theory in General Rings	1952	Charles W. Curtis
+ PDF Chat	A note on noncommutative polynomials	1952	Charles W. Curtis

Common Coauthors

Coauthor	Papers Together
Irving Reiner	7
Ken-ichi Shinoda	2
William M. Kantor	2
Gary M. Seitz	2
Robert J. Walker	1
A. N. Godwin	1
N. Iwahori	1
Pierre Deligne	1
F. E. J. Linton	1
Robert W. Kilmoyer	1
Toshiaki Shoji	1
Timothy Fossum	1
Ronald G. Douglas	1
P. H. Daus	1
L. A. Coburn	1
Jean-Claude Tougeron	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Sur certains groupes simples	1955	Catherine Chevalley	14
+	Representations of Reductive Groups Over Finite Fields	1976	Pierre Deligne G. Lusztig	7
+	Decomposition of gelfand-graev characters of gl<sub>3</sub>(q)	1976	Bomshik Chang	7
+	On the Gelfand-Graev Representations of a Reductive Group over a Finite Field	1993	C. W. Curtis	7
+	Representability of Lie Algebras and Lie Groups by Matrices	1937	Garrett Birkhoff	7
+ PDF Chat	On the degrees and rationality of certain characters of finite Chevalley groups	1972	Clark T. Benson C. W. Curtis	6
+	On Representations of Lie Algebras	1949	Harish-chandra Harish-Chandra	6
+ PDF Chat	Prime Power Representations of Finite Linear Groups II	1957	Robert Steinberg	5
+ PDF Chat	On Some Applications of the Universal Enveloping Algebra of a Semisimple Lie Algebra	1951	Harish-chandra Harish-Chandra	4
+	Restricted Lie Algebras of Characteristic p	1941	Nathan Jacobson	4
+	Some irreducible complex representations of a finite group with BN pair	1969	Robert W. Kilmoyer	4
+ PDF Chat	Unipotent elements and characters of finite chevalley groups	1975	Noriaki Kawanaka	4
+	On some geometric aspects of Bruhat orderings. I. A finer decomposition of Bruhat cells	1985	Vinay V. Deodhar	4
+	Théorème de Bruhat et sous-groupes paraboliques	1962	Jacques Tits	4
+	The steinberg character of a finite group with a (B, N)-pair	1966	Charles W. Curtis	4
+ PDF Chat	Modular theory of group characters	1907	L. E. Dickson	4
+ PDF Chat	Representations of Lie Algebras of Classical Type with Applications to Linear Groups	1960	Charles W. Curtis	4
+ PDF Chat	Prime Power Representations Of Finite Linear Groups	1956	Robert Steinberg	4
+	Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs	1971	C. W. Curtis N. Iwahori Robert W. Kilmoyer	4
+	The nonexistence of certain generalized polygons	1964	Walter Feit Graham Higman	3
+ PDF Chat	A Classical Introduction to Modern Number Theory	1990	Kenneth Ireland Michael Rosen	3
+ PDF Chat	Reduction theorems for characters of finite groups of Lie type*	1975	Charles W. Curtis	3
+ PDF Chat	Modular representations of split 𝐵𝑁 pairs	1969	Forrest A. Richen	3
+ PDF Chat	Numbers of solutions of equations in finite fields	1949	André Weil	3
+	Groups with a (B, N)-pair of rank 2. I	1973	Paul Fong Gary M. Seitz	3
+	Lectures on Chevalley Groups	2016	Robert Steinberg	3
+	A Further Refinement of the Bruhat Decomposition	1988	Charles W. Curtis	3
+ PDF Chat	On the Dimensions of the Irreducible Modules of Lie Algebras of Classical Type	1960	Charles W. Curtis	3
+	Representations of Coxeter groups and Hecke algebras	1979	David Kazhdan G. Lusztig	3
+	On the structure of a Hecke ring of a Chevalley group over a finite field	1964	Nagayoshi Iwahori	3
+ PDF Chat	On the Degrees and Rationality of Certain Characters of Finite Chevalley Groups	1972	C. T. Benson C. W. Curtis	3
+	Principal series representations of finite Chevalley groups	1978	Robert W. Kilmoyer	3
+	On the Steinberg characters of finite Chevalley groups	1970	James Green	3
+	Groupes et algèbres de Lie	1971	Nicolás Bourbaki	3
+ PDF Chat	Lie Algebras of Classical Type	1957	William Hobson Mills George B. Seligman	3
+ PDF Chat	A geometric approach to the representations of the full linear group over a Galois field	1951	Richard H. Steinberg	3
+	On the structure of (M 0)-and (M u)-modules	1953	Hirosi Nagao Tadasi Nakayama	3
+	Some Ring Theorems With Applications to Modular Representations	1946	Cecil J. Nesbitt Robert Thrall	3
+ PDF Chat	On some applications of the universal enveloping algebra of a semisimple Lie algebra	1951	Harish-chandra Harish-Chandra	3
+	Representations of Finite Chevalley Groups	1978	G. Lusztig	2
+ PDF Chat	On Maximally Central Algebras	1951	Gorô Azumaya	2
+ PDF Chat	The classification of finite simple groups I. Simple groups and local analysis	1979	Daniel Gorenstein	2
+	Corrections and Additions to "On the Degrees and Rationality of Certain Characters of Finite Chevalley Groups"	1975	C. W. Curtis	2
+	New light on Frobenius' creation of the theory of group characters	1974	Thomas Hawkins	2
+	La Géométrie des Groupes Classiques	1963	Jean Dieudonné	2
+	Zur Darstellungstheorie der Gruppen endlicher Ordnung. II	1959	Richard Brauer	2
+ PDF Chat	Corrections and additions to: ‘‘On the degrees and rationality of certain characters of finite Chevalley groups” (Trans. Amer. Math. Soc. {\bf 165}\ (1972), 251–273) by C. T. Benson and Curtis	1975	C. W. Curtis	2
+ PDF Chat	On projective representations of certain finite groups	1960	Charles W. Curtis	2
+	On the degrees of Steinberg characters of Chevalley groups	1974	Robert B. Howlett	2
+	Über Lie’sche Ringe mit Primzahlcharakteristik	1939	Hans Zassenhaus	2