On Bernstein's presentation of Iwahori-Hecke algebras and representations of split reductive groups over non-Archimedean local fields

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/97317This article gives conceptual statements and proofs relating parabolic induction and Jacquet functors on split reductive groups over a non-Archimedean local field to the associated Iwahori-Hecke algebra as tensoring from and restricting to parabolic subalgebras. The main tool is Bernstein's presentation of the Iwahori-Hecke algebra.Presented at the International Conference on Harmonic Analysis and Quantum Groups in Kochi, Jan 3-8, 2005Representation Theory22E50On Bernstein's presentation of Iwahori-Hecke algebras and representations of split reductive groups over non-Archimedean local fieldstext