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

Dubravka Ban; Joseph Hundley

doi:10.1090/ert/485

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

Dubravka Ban
, Joseph Hundley

Mathematics

Southern Illinois University

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

7 Scopus citations

Abstract

We study the continuous principal series representations of split connected reductive p-adic groups over 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.

Original language	English
Pages (from-to)	249-262
Number of pages	14
Journal	Representation Theory
Volume	20
Issue number	10
DOIs	https://doi.org/10.1090/ert/485
State	Published - 2016

Keywords

P-adic groups
P-adic representations
Principal series.

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10.1090/ert/485

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title = "On reducibility of p-adic principal series representations of p-adic groups",

abstract = "We study the continuous principal series representations of split connected reductive p-adic groups over 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.",

keywords = "P-adic groups, P-adic representations, Principal series.",

author = "Dubravka Ban and Joseph Hundley",

note = "Publisher Copyright: {\textcopyright} 2016 American Mathematical Society.",

year = "2016",

doi = "10.1090/ert/485",

language = "English",

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pages = "249--262",

journal = "Representation Theory",

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T1 - On reducibility of p-adic principal series representations of p-adic groups

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AU - Hundley, Joseph

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N2 - We study the continuous principal series representations of split connected reductive p-adic groups over 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.

AB - We study the continuous principal series representations of split connected reductive p-adic groups over 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.

KW - P-adic groups

KW - P-adic representations

KW - Principal series.

UR - https://www.scopus.com/pages/publications/84984819087

U2 - 10.1090/ert/485

DO - 10.1090/ert/485

M3 - Article

AN - SCOPUS:84984819087

SN - 1088-4165

VL - 20

SP - 249

EP - 262

JO - Representation Theory

JF - Representation Theory

IS - 10

ER -

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

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Keywords

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