Discrete Series for p-adic SO(2n) and Restrictions of Representations of O(2n)

被引：7

作者：

Jantzen, Chris ^{[1
]}

机构：

[1] E Carolina Univ, Dept Math, Greenville, NC 27858 USA

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2011年 / 63卷 / 02期

关键词：

SQUARE-INTEGRABLE REPRESENTATIONS; GENERALIZED PRINCIPAL SERIES; ORTHOGONAL GROUPS; JACQUET MODULES; REDUCIBILITY; CLASSIFICATION; CONSTRUCTION; SUPPORTS; DUALITY;

D O I：

10.4153/CJM-2011-003-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we give a classification of discrete series for SO(2n, F), F p-adic, similar to that of Moeglin-Tadic for the other classical groups. This is obtained by taking the Moeglin-Tadic classification for O(2n, F) and studying how the representations restrict to SO(2n, F). We then extend this to an analysis of how admissible representations of O(2n, F) restrict.

引用

页码：327 / 380

页数：54

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