On reducibility of 𝑝-adic principal series representations of 𝑝-adic groups-Reference-Cited by-同舟云学术

On reducibility of 𝑝-adic principal series representations of 𝑝-adic groups

Published:2016-08-17 Issue:10 Volume:20 Page:249-262
ISSN:1088-4165
Container-title:Representation Theory of the American Mathematical Society
language:en
Short-container-title:Represent. Theory

Author:

Ban Dubravka,Hundley Joseph

Abstract

We study the continuous principal series representations of split connected reductive p p -adic groups over p p -adic fields. We show that such representations are irreducible when the inducing character lies in a certain cone. This is consistent with a conjecture of Schneider regarding reducibility in the semisimple case.

Publisher

American Mathematical Society (AMS)

Subject

Mathematics (miscellaneous)

Link

http://www.ams.org/ert/2016-20-10/S1088-4165-2016-00485-1/S1088-4165-2016-00485-1.pdf

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