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, especially Introduction to Lie Algebras and Representation Theory.

- Introduction to Lie Algebras and Representation Theory
- Reflection groups and coxeter groups
- Linear Algebraic Groups
- Representations of semisimple Lie algebras in the BGG category O
- Conjugacy classes in semisimple algebraic groups
- Modular Representations of Finite Groups of Lie Type
- Ordinary and modular representations of Chevalley groups
- Modular representations of classical Lie algebras and semisimple groups
- Reflection groups and Coxeter groups: Coxeter groups
- Defect groups for finite groups of Lie type
- Algebraic groups and modular lie algebras
- The Steinberg representation
- MODULAR REPRESENTATIONS OF SIMPLE LIE ALGEBRAS
- Projective modules for SL(2, q)
- On the automorphisms of infinite Chevalley groups
- Symmetry for finite dimensional Hopf algebras
- Representations of Sl (2,p)
- Blocks and indecomposable modules for semisimple algebraic groups
- On the hyperalgebra of a semisimple algebraic group
- Hilbert's Fourteenth Problem
- Projective modules for finite Chevalley groups
- Cohomology of line bundles on G/B for the exceptional group G2
- Reflection groups and Coxeter groups: Hecke algebras and Kazhdan–Lusztig polynomials
- Non‐Zero Ext1 for Chevalley Groups (via Algebraic Groups)
- Ordinary and modular characters of SU(3, p)
- Some computations of cartan invariants for finite groups of lie type
- Existence of Levi factors in certain algebraic groups
- On the structure of Weyl modules
- Deligne-Lusztig characters and principal indecomposable modules
- Cohomology of GB in characteristic p
- Generic Cartan invariants for Frobenius kernels and Chevalley groups
- Affine Algebraic Groups
- Highest weight modules for semisimple Lie algebras
- Remarks on “a theorem on special linear groups”
- Modular representations of classical Lie algebras
- Projective modules for Sp(4, p) in characteristic p
- Variations on Milnor's computation of K2Z
- Deligne–Lusztig Characters
- A construction of projective modules in the category O of Bernstein-Gel'fand-Gel'fand
- Analogues of Weyl's Formula for Reduced Enveloping Algebras
- Semisimple Lie Algebras
- Another look at Dickson's invariants for finite linear groups
- Weyl Groups, Deformations of Linkage Classes, and Character Degrees For Chevalley Groups
- Representations of reduced enveloping algebras and cells in the affine Weyl group
- Modular Representations of Finite Groups of Lie Type: Weyl Modules and Lusztig's Conjecture
- Structure of Reductive Groups
- Algebraic lie algebras over fields of prime characteristic
- Reflection groups and Coxeter groups: References
- Cartan Invariants
- Review: George B. Seligman, Rational methods in Lie algebras
- Modular Representations of Finite Groups of Lie Type: Simple Modules
- Review: Morikuni Goto and Frank D. Grosshans, Semisimple Lie algebras
- Centralizers of Tori
- Solutions to some exercises in the book “
- GLn and SLn (p-adic and adelic groups)
- Modular Representations of Finite Groups of Lie Type: Other Aspects of Simple Modules
- Book Review: Group theory and physics
- Modular Representations of Finite Groups of Lie Type: General and Special Linear Groups
- Review: Ralph K. Amayo and Ian Stewart, Infinite-dimensional Lie algebras
- History at stake
- The multiplicative group
- BOTANY IN JAMAJCA.
- Irreducible modular representations
- Projective functors and principal series
- Centralizers of semisimple elements
- Nilpotent orbits and unipotent classes
- Analogues of Weyl's Formula for Reduced
- Parabolic subgroups and unipotent classes
- Modular Representations of Finite Groups of Lie Type: Suzuki and Ree Groups
- The Adjoint quotient
- Review of semisimple groups
- Modular Representations of Finite Groups of Lie Type: Complexity and Support Varieties
- The additive group
- Semisimple and Unipotent Elements
- Reflection groups and Coxeter groups: Polynomial invariants of finite reflection groups
- Comparison with Frobenius Kernels
- Book Review: Pioneers of representation theory
- GLn and SLn (over ℝ)
- Reflection groups and Coxeter groups: Preface
- Highest weight modules II
- Basic facts about classes and centralizers
- Modular Representations of Finite Groups of Lie Type: The Groups G2( q )
- Modular Representations of Finite Groups of Lie Type: Finite Groups of Lie Type
- Isomorphism and Conjugacy Theorems
- Twisting and completion functors
- BULLETIN ( New Series ) of the American Mathematical Society
- Reflection groups and Coxeter groups: Complements
- Chevalley Algebras and Groups
- Locally compact groups and fields
- The Unipotent variety and the flag variety
- Review of semisimple Lie algebras
- Parabolic versions of category
- Modular Representations of Finite Groups of Lie Type: Ordinary and Modular Representations
- Characters of finite dimensional modules
- Springer’s Weyl group representations
- Book Review: Representations and cohomology\/}, II: {\it Cohomology of groups and modules
- Extensions and resolutions
- Representations and Classification of Semisimple Groups
- Reflection groups and Coxeter groups: Finite reflection groups
- Book Review: Buildings@@@Book Review: Lectures on buildings
- Erratum to “Modular representations of simple Lie algebras”
- The congruence subgroup problem
- Reflection groups and Coxeter groups: Classification of finite reflection groups
- Modular Representations of Finite Groups of Lie Type: Extensions of Simple Modules
- Modular Representations of Finite Groups of Lie Type: BN -Pairs and Induced Modules
- Computation of Weight Multiplicities
- Affine reflection groups
- Characteristic 0 Theory
- Survey of Rationality Properties

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