Reducibility of some induced representations of split classical p-adic groups

被引：10

作者：

Murnaghan, F ^{[1
]}

Repka, J ^{[1
]}

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 3G3, Canada

来源：

COMPOSITIO MATHEMATICA | 1998年 / 114卷 / 03期

关键词：

supercuspidal representation; integral; matrix coefficient;

D O I：

10.1023/A:1000504704324

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study reducibility of representations of split classical p-adic groups induced from self-contragredient supercuspidal representations of general linear groups. For a supercuspidal representation 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.

引用

页码：263 / 313

页数：51

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