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

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

2005-04-20

arxiv.org/abs/math/0504417v1

Bulletin of Kerala Mathematics Association (special issue on harmonic analysis and quantum groups), December 2005

Mathematics

Representation Theory

Presented at the International Conference on Harmonic Analysis and Quantum Groups in Kochi, Jan 3-8, 2005

Scientific paper

This 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.

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