TITLE: Bernstein's presentation for the Hecke algebra
QUESTION [6 upvotes]: Any one know of any good references for reading about Bernstein's presentation of the Iwahori Hecke algebra? I need some notes which has an example or two. It would really help.

REPLY [3 votes]: In book form, the equivalence of the Coxeter and Bernstein presentations of the affine Hecke algebra appears in the first 4 chapters of Macdonald's book "Affine Hecke algebras and orthogonal polynomials".  It is very carefully written, but the notation can get a bit heavy.  When first reading it, I suggest you always assume that you are in case (1.4.1) in Macdonald's notation.
Chapter 6 does rank one examples.