James Thomas Humphrey

Reflection Groups and Coxeter Groups (Cambridge Studies in Advanced Mathematics)

In this graduate textbook Professor Humphreys presents a concrete and up-to-date introduction to the theory of Coxeter groups. He assumes that the reader has a good knowledge of algebra, but otherwise the book is self contained. The first part is devoted to establishing concrete examples; the author...

Introduction to Lie Algebras and Representation Theory (Graduate Texts in Mathematics) (v. 9)

This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector ...

Shorter Intermediate Mechanics

The Dunning School: Historians, Race, and the Meaning of Reconstruction

From the late nineteenth century until World War I, a group of Columbia University students gathered under the mentorship of the renowned historian William Archibald Dunning (1857–1922). Known as the Dunning School, these students wrote the first generation of state studies on the Reconstruction―vol...

Stress in College Athletics

Stress in College Athletics: Causes, Consequences, Coping addresses the causes and consequences of stress in college sports and offers effective coping mechanisms that will help individuals understand and control stressors and emotions in their environment. Athletic administrators, coaches, student ...

Graphic Latin Grammar (Latin Edition)

An invaluable quick reference -- no need for busy students to keep flipping to the back of the book to look up forms, or search chapters for a review of syntax. These reference cards contain paradigms of regular, irregular, and deponent verbs, nouns, adjectives, pronouns, and numerals; plus charts o...

Linear Algebraic Groups (Graduate Texts in Mathematics)

James E. Humphreys is a distinguished Professor of Mathematics at the University of Massachusetts at Amherst. He has previously held posts at the University of Oregon and New York University. His main research interests include group theory and Lie algebras, and this graduate level text is an except...

Representations of Semisimple Lie Algebras in the BGG Category $\mathscr {O}$ (Graduate Studies in Mathematics)

This is the first textbook treatment of work leading to the landmark 1979 Kazhdan-Lusztig Conjecture on characters of simple highest weight modules for a semisimple Lie algebra $\mathfrak{g}$ over $\mathbb {C}$. The setting is the module category $\mathscr {O}$ introduced by Bernstein-Gelfand-Gelfan...