A tale of two Hecke algebras

Abstract

We use Bernstein's presentation of the Iwahori-Matsumoto Hecke algebra to obtain a simple proof of the Satake isomorphism and, in the same stroke, compute the center of the Iwahori-Matsumoto Hecke algebra.

References in corpus (1)

• Iwahori-Hecke Algebras

Cited by in corpus (2)

• Bernstein-Zelevinsky derivatives, branching rules and Hecke algebras
• The twisted Satake isomorphism and Casselman-Shalika formula