Humphreys, James E. Reflection groups and Coxeter groups. (English) Zbl 0768.20016 Cambridge Studies in Advanced Mathematics. 29. Cambridge: Cambridge University Press. xii, 204 p. (1992). This is the paperback edition (with corrections) of the 1990 original. See Zbl 0725.20028 for a review. Cited in 2 ReviewsCited in 158 Documents MathOverflow Questions: How do I stop worrying about root systems and decomposition theorems (for reductive groups)? MSC: 20F55 Reflection and Coxeter groups (group-theoretic aspects) 20G05 Representation theory for linear algebraic groups 20-02 Research exposition (monographs, survey articles) pertaining to group theory 51F15 Reflection groups, reflection geometries 20H15 Other geometric groups, including crystallographic groups Keywords:textbook; Coxeter groups; finite reflection groups; polynomial invariants; affine reflection groups; representations; Hecke algebras; Bruhat ordering; Kazhdan-Lusztig polynomials; bibliography Citations:Zbl 0186.33001; Zbl 0499.20035; Zbl 0725.20028 × Cite Format Result Cite Review PDF