Reducibility and discrete series in the case of classical p-adic groups; an approach based on examples

被引：0

作者：

Tadic, Marko ^{[1
]}

机构：

[1] Univ Zagreb, Dept Math, Bijenicka 30, Zagreb 10000, Croatia

来源：

GEOMETRY AND ANALYSIS OF AUTOMORPHIC FORMS OF SEVERAL VARIABLES | 2012年 / 7卷

关键词：

p-adic fields; classical groups; induced representations; reducibility; square integrable representations; INDUCED REPRESENTATIONS; IRREDUCIBLE REPRESENTATIONS; THEOREM; PROOF;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we first present the basic ideas of the method of determining reducibility or irreducibility of parabolically induced representations of classical p-adic groups using Jacquet modules. After that we explain the construction of irreducible square integrable representations by considering characteristic examples. We end with a brief presentation of the classification of irreducible square integrable representations of these groups modulo cuspidal data, which was obtained jointly with C. Mceglin.

引用

页码：254 / 333

页数：80