James E. Humphreys
#17,494
Most Influential Person Now
American mathematician
James E. Humphreys's AcademicInfluence.com Rankings
James E. Humphreysmathematics Degrees
Mathematics
#817
World Rank
#1463
Historical Rank
#356
USA Rank
Measure Theory
#551
World Rank
#770
Historical Rank
#229
USA Rank
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Mathematics
James E. Humphreys's Degrees
- PhD Mathematics University of California, Berkeley
Why Is James E. Humphreys Influential?
(Suggest an Edit or Addition)According to Wikipedia, James Edward Humphreys was an American mathematician who worked in algebraic groups, Lie groups, and Lie algebras and applications of these mathematical structures. He is known as the author of several mathematical texts, such as Introduction to Lie Algebras and Representation Theory and Reflection Groups and Coxeter Groups.
James E. Humphreys's Published Works
Published Works
- Introduction to Lie Algebras and Representation Theory (1973) (5021)
- Reflection groups and coxeter groups (1990) (1879)
- Linear Algebraic Groups (1975) (1171)
- Representations of Semisimple Lie Algebras in the BGG Category O (2008) (579)
- Conjugacy classes in semisimple algebraic groups (1995) (385)
- Modular Representations of Finite Groups of Lie Type (2006) (188)
- Modular representations of classical Lie algebras and semisimple groups (1971) (110)
- Ordinary and modular representations of Chevalley groups (1976) (99)
- Defect groups for finite groups of Lie type (1971) (59)
- Algebraic groups and modular lie algebras (1967) (51)
- The Steinberg representation (1987) (46)
- MODULAR REPRESENTATIONS OF SIMPLE LIE ALGEBRAS (1998) (39)
- On the Automorphisms of Infinite Chevalley Groups (1969) (36)
- Projective modules for SL(2, q) (1973) (33)
- Symmetry for finite dimensional Hopf algebras (1978) (31)
- Representations of Sl (2,p) (1975) (28)
- Blocks and indecomposable modules for semisimple algebraic groups (1978) (23)
- Reflection groups and Coxeter groups: Coxeter groups (1990) (22)
- On the hyperalgebra of a semisimple algebraic group (1977) (21)
- Hilbert's Fourteenth Problem (1978) (18)
- Cohomology of line bundles on G/B for the exceptional group G2 (1987) (16)
- Projective modules for finite Chevalley groups (1973) (13)
- Non‐Zero Ext1 for Chevalley Groups (via Algebraic Groups) (1985) (12)
- Existence of Levi factors in certain algebraic groups (1967) (12)
- Ordinary and modular characters of SU(3, p) (1990) (11)
- Some computations of cartan invariants for finite groups of lie type (1973) (11)
- On the structure of Weyl modules (1984) (10)
- Cohomology of GB in characteristic p (1986) (9)
- Deligne-Lusztig characters and principal indecomposable modules (1980) (9)
- Highest weight modules for semisimple Lie algebras (1980) (9)
- Generic Cartan invariants for Frobenius kernels and Chevalley groups (1989) (7)
- Reflection groups and Coxeter groups: Hecke algebras and Kazhdan–Lusztig polynomials (1990) (6)
- A construction of projective modules in the category O of Bernstein-Gel'fand-Gel'fand (1977) (6)
- Deligne–Lusztig Characters (2005) (5)
- Projective modules for Sp(4, p) in characteristic p (1986) (5)
- Variations on Milnor's computation of K2Z (1973) (5)
- Modular representations of classical Lie algebras (1970) (4)
- Analogues of Weyl's Formula for Reduced Enveloping Algebras (2002) (4)
- Remarks on “a theorem on special linear groups” (1972) (4)
- Algebraic lie algebras over fields of prime characteristic (1967) (3)
- Affine algebraic groups (2018) (2)
- Semisimple Lie Algebras (1972) (2)
- Another look at Dickson's invariants for finite linear groups (1994) (2)
- Representations of reduced enveloping algebras and cells in the affine Weyl group (2005) (2)
- Structure of Reductive Groups (1975) (1)
- Review: George B. Seligman, Rational methods in Lie algebras (1977) (1)
- Reflection groups and Coxeter groups: References (1990) (1)
- Cartan Invariants (2006) (1)
- Weyl Groups, Deformations of Linkage Classes, and Character Degrees For Chevalley Groups (1974) (1)
- Modular Representations of Finite Groups of Lie Type: Finite Groups of Lie Type (2005) (1)
- Parabolic subgroups and unipotent classes (2011) (0)
- Solutions to some exercises in the book “ (0)
- Modular Representations of Finite Groups of Lie Type: Weyl Modules and Lusztig's Conjecture (2005) (0)
- Reflection groups and Coxeter groups: Complements (1990) (0)
- Reflection groups and Coxeter groups: Finite reflection groups (1990) (0)
- History at stake (2008) (0)
- Chevalley Algebras and Groups (1972) (0)
- Parabolic versions of category (2008) (0)
- Characters of finite dimensional modules (2008) (0)
- Survey of Rationality Properties (1975) (0)
- GLn and SLn (over ℝ) (1980) (0)
- Computation of Weight Multiplicities (2005) (0)
- The additive group (1980) (0)
- Characteristic 0 Theory (1975) (0)
- The Unipotent variety and the flag variety (2011) (0)
- A NOTE ON A THEOREM ON LATTICES IN LIE GROUPS (2009) (0)
- Modular Representations of Finite Groups of Lie Type: Ordinary and Modular Representations (2005) (0)
- Reflection groups and Coxeter groups: Classification of finite reflection groups (1990) (0)
- GLn and SLn (p-adic and adelic groups) (1980) (0)
- Reflection groups and Coxeter groups: Preface (1990) (0)
- Irreducible modular representations (1976) (0)
- Comparison with Frobenius Kernels (2005) (0)
- Projective functors and principal series (2008) (0)
- Review: Morikuni Goto and Frank D. Grosshans, Semisimple Lie algebras (1979) (0)
- Semisimple and Unipotent Elements (1975) (0)
- Book Review: Group theory and physics (1995) (0)
- The congruence subgroup problem (1980) (0)
- Review: Ralph K. Amayo and Ian Stewart, Infinite-dimensional Lie algebras (1976) (0)
- Extensions and resolutions (2008) (0)
- Reflection groups and Coxeter groups: Polynomial invariants of finite reflection groups (1990) (0)
- Springer’s Weyl group representations (2011) (0)
- Locally compact groups and fields (1980) (0)
- Isomorphism and Conjugacy Theorems (1972) (0)
- Review of semisimple Lie algebras (2008) (0)
- BULLETIN ( New Series ) of the American Mathematical Society (2007) (0)
- Review of semisimple groups (2011) (0)
- Basic facts about classes and centralizers (2011) (0)
- Erratum to “Modular representations of simple Lie algebras” (1998) (0)
- Twisting and completion functors (2008) (0)
- Nilpotent orbits and unipotent classes (2011) (0)
- The multiplicative group (1980) (0)
- Highest weight modules II (2008) (0)
- Centralizers of semisimple elements (2011) (0)
- Book Review: Pioneers of representation theory (2000) (0)
- Representations and Classification of Semisimple Groups (1975) (0)
- Affine reflection groups (1990) (0)
- Analogues of Weyl's Formula for Reduced (2008) (0)
- Book Review: Buildings@@@Book Review: Lectures on buildings (1989) (0)
- Centralizers of Tori (1975) (0)
- Book Review: Representations and cohomology\/}, II: {\it Cohomology of groups and modules (1993) (0)
- The Adjoint quotient (2011) (0)
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