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

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

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Representation Theory, 22E50

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http://salesiana.dossiersoluciones.com/handle/123456789/97317

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504417
 http://arxiv.org/abs/math/0504417
 Bulletin of Kerala Mathematics Association (special issue on harmonic analysis and quantum groups), December 2005

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arXiv