Iwahori-Hecke Algebras
arXiv:math/0309168
Abstract
This article gives a fairly self-contained treatment of the basic facts about the Iwahori-Hecke algebra of a split p-adic group, including Bernstein's presentation, Macdonald's formula, the Casselman-Shalika formula, and the Lusztig-Kato formula.
25 pp. A fairly self-contained exposition of basic facts about Iwahori-Hecke algebras. Please send comments and corrections to kottwitz@math.uchicago.edu; reference added; slightly expanded introduction and other minor changes; submitted version