coxeter groups
san francisco state university
universidad de los andes
federico ardila
2008
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Here are some useful online resources:
Bill Casselman's notes.
Robert Howlett's notes.
The main textbooks I will use are:
A. Bjorner and F. Brenti. Combinatorics of Coxeter groups.
J. Humphreys. Reflection groups and Coxeter groups
R. Kane. Reflection groups and invariant theory.
Listed below are other books that may be useful. Please feel free to contact me about bibliography on more specific topics.
M. Aguiar and S. Mahajan. Coxeter Groups and Hopf Algebras (Fields Institute Monographs)
N. Bourbaki. Elements of Mathematics. Lie Groups and Lie Algebras: Chapters 4-6.
M. Davis. The geometry and topology of Coxeter groups.
M. Geck and G. Prefiffer. Characters of Finite Coxeter Groups and Iwahori-Hecke Algebras.
(London Mathematical Society Monographs New Series)
L. Grove and C. Benson. Finite Reflection Groups (Graduate Texts in Mathematics)
B. Hall. Lie Groups, Lie Algebras, and Representations.
J. Humphreys. Introduction to Lie Algebras and Representation Theory.