A geometric construction of the Iwahori–Hecke algebra for unramified groups

Neil Chriss

Vol. 179 (1997), No. 1, 11–57

DOI: 10.2140/pjm.1997.179.11

Abstract

This paper concerns constructing the Iwahori-Hecke algebra for certain p-adic groups. It can be regarded as a natural extension of the ideas laid down in [KL2]; the objective (and conclusion) of that paper was the proof of Deligne-Langlands conjecture for Hecke algebras arising from split p-adic groups (with connected centers). The key observation of that paper was the geometric construction of the Iwahori-Hecke algebra for a split p-adic group.

Milestones

Received: 30 September 1994

Published: 1 May 1997