arXiv:math/0504417 Abstract

arXiv:math/0504417 [math.RT]Abstract References Reviews Resources

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

Published 2005-04-20Version 1

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.

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

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

Categories: math.RT

Subjects: 22E50

Keywords: non-archimedean local field, split reductive groups, iwahori-hecke algebra, bernsteins presentation, representations

Tags: conference paper, journal article

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