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arXiv · 1411.6310

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

Erez Lapid·Alberto Mínguez
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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 $\pi\otimes\sigma$ where $\pi$ is a ladder representation and $\sigma$ is an arbitrary irreducible representation. As an application we simplify the proof of the classification of the unitary dual.

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Erez Lapid, Alberto Mínguez. 2014-11-23. On parabolic induction on inner forms of the general linear group over a non-archimedean local field. https://doi.org/10.1007/s00029-016-0281-7

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