Thomas J. Haines, Robert E. Kottwitz, Amritanshu Prasad
Published 2003-09-09, updated 2009-04-16Version 3
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.
Comments: 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
Journal: Journal of the Ramanujan Mathematical Society, 25:113-145, 2010
The centers of Iwahori-Hecke algebras are filtered
Base Change for the Iwahori-Hecke Algebra of GL_2
Combinatorics of the Casselman-Shalika formula in type A
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