On parabolic induction on inner forms of the general linear group over a non-archimedean local field

Erez Lapid; Alberto Minguez

doi:https://doi.org/10.1007/s00029-016-0281-7

On parabolic induction on inner forms of the general linear group over a non-archimedean local field

Erez Lapid, Alberto Minguez

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

We give new criteria for the irreducibility of parabolic induction on the general linear group and its inner forms over a local non-archimedean field. In particular, we give a necessary and sufficient condition when the inducing data is of the form where is a ladder representation and is an arbitrary irreducible representation. As an application we simplify the proof of the classification of the unitary dual.

Original language	English
Pages (from-to)	2347-2400
Number of pages	54
Journal	Selecta Mathematica, New Series
Volume	22
Issue number	4
DOIs	https://doi.org/10.1007/s00029-016-0281-7
State	Published - Oct 2016

All Science Journal Classification (ASJC) codes

General Physics and Astronomy
General Mathematics

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Cite this

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abstract = "We give new criteria for the irreducibility of parabolic induction on the general linear group and its inner forms over a local non-archimedean field. In particular, we give a necessary and sufficient condition when the inducing data is of the form where is a ladder representation and is an arbitrary irreducible representation. As an application we simplify the proof of the classification of the unitary dual.",

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AB - We give new criteria for the irreducibility of parabolic induction on the general linear group and its inner forms over a local non-archimedean field. In particular, we give a necessary and sufficient condition when the inducing data is of the form where is a ladder representation and is an arbitrary irreducible representation. As an application we simplify the proof of the classification of the unitary dual.

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JO - Selecta Mathematica, New Series

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On parabolic induction on inner forms of the general linear group over a non-archimedean local field

Abstract

All Science Journal Classification (ASJC) codes

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