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Reducibility of some Induced Representations of Split Classical p-Adic Groups

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Compositio Mathematica

Abstract

In this paper we study reducibility of representations of split classical p-adic groups induced from self-contragredient supercuspidal represetation associated via Howe's construction to an admissible character, we show that in many cases Shahidi's criterion for reducibility of the induced representation reduces to a simple condition on the admissible character.

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Authors and Affiliations

  1. Department of Mathematics, University of Toronto, 100, St. George Street, Toronto, Canada, M5S 3G3

    F. Murnaghan & J. Repka

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  1. F. Murnaghan
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  2. J. Repka
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Murnaghan, F., Repka, J. Reducibility of some Induced Representations of Split Classical p-Adic Groups. Compositio Mathematica 114, 263–305 (1998). https://doi.org/10.1023/A:1000504704324

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