James E. Humphreys was born in Erie, Pennsylvania, and received his A.B. from Oberlin College, 1961, and his Ph.D. from Yale University, 1966. He has taught at the University of Oregon, Courant Institute (NYU), and the University of Massachusetts at Amherst (now retired). He visits IAS Princeton, Rutgers. He is the author of several graduate texts and monographs.
Part I. Finite and Affine Reflection Groups: 1. Finite reflection groups
2. Classification of finite reflection groups
3. Polynomial invariants of finite reflection groups
4. Affine reflection groups
Part II. General Theory of Coxeter Groups: 5. Coxeter groups
6. Special case
7. Hecke algebras and Kazhdan-Lusztig polynomials
8. Complements
Bibliography.
