期刊
REPRESENTATION THEORY
卷 26, 期 -, 页码 515-541出版社
AMER MATHEMATICAL SOC
DOI: 10.1090/ert/612
关键词
Socles; Speh representations; A-parameters
类别
资金
- JSPS KAKENHI [19K14494]
- Grants-in-Aid for Scientific Research [19K14494] Funding Source: KAKEN
This paper considers representations of p-adic classical groups induced from shifted Speh representations and unitary representations of good parity Arthur type. The computation of socles allows for determining reducibility and producing many unitary representations in the complementary series.
In this paper, we consider representations of p-adic classical groups parabolically induced from the products of shifted Speh representations and unitary representations of Arthur type of good parity. We describe how to compute the socles (the maximal semisimple subrepresentations) of these rep-resentations. As a consequence, we can determine whether these representa-tions are reducible or not. In particular, our results produce many unitary representations, which appear in the complementary series.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据