J
James E. Humphreys
Researcher at University of Massachusetts Amherst
Publications - 35
Citations - 11392
James E. Humphreys is an academic researcher from University of Massachusetts Amherst. The author has contributed to research in topics: Representation theory & Reductive group. The author has an hindex of 18, co-authored 35 publications receiving 10876 citations. Previous affiliations of James E. Humphreys include Courant Institute of Mathematical Sciences.
Papers
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Book
Introduction to Lie Algebras and Representation Theory
TL;DR: In this paper, Semisimple Lie Algebras and root systems are used for representation theory, isomorphism and conjugacy theorem, and existence theorem for representation.
Book
Reflection groups and coxeter groups
TL;DR: In this article, a classification of finite and affine reflection groups is presented, including Coxeter groups, Hecke algebras and Kazhdan-Lusztig polynomials.
Book
Linear Algebraic Groups
TL;DR: A survey of rationality properties of semisimple groups can be found in this paper, where a survey of rational properties of algebraic groups is also presented, as well as a classification of reductive groups representations.
Book
Representations of Semisimple Lie Algebras in the BGG Category O
TL;DR: A review of semisimple Lie algebras with highest weight modules can be found in this paper, along with a survey of the most commonly used symbols in the literature.
Book
Conjugacy classes in semisimple algebraic groups
TL;DR: A review of semisimple groups can be found in this article, where the adjoint quotient regular elements Parabolic subgroups and unipotent classes are classified into two classes: the uninototent variety and the flag variety.