Note on reducibility of parabolic induction for Hermitian quaternionic groups over p-adic fields

被引：0

作者：

Grbac, Neven ^{[1
]}

Pecek, Nevena Jurcevic ^{[1
]}

机构：

[1] Univ Rijeka, Dept Math, Radmile Matejcic 2, HR-51000 Rijeka, Croatia

来源：

MATHEMATICAL COMMUNICATIONS | 2018年 / 23卷 / 02期

关键词：

Hermitian quaternionic groups; parabolically induced representations; reducibility; Jacquet modules; structural formula; R-groups; INDUCED REPRESENTATIONS; CLASSIFICATION; SERIES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study reducibility of a certain class of parabolically induced representations of p-adic Hermitian quaternionic groups. We use Jacquet modules techniques and the theory of R-groups to extend reducibility results of Tadic for split classical groups to the case of an arbitrary Hermitian quaternionic group.

引用

页码：181 / 196

页数：16

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