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

By Erez Lapid, Alberto Mínguez. 2014

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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 $$\pi \otimes \sigma $$π⊗σ where $$\pi $$π is a ladder representation and $$\sigma $$σ is an arbitrary irreducible representation. As an application we simplify the proof of the classification of the unitary dual.

Subfields: Applied Mathematics, Mathematical Physics

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