On the socles of certain parabolically induced representations of p-adic classical groups
On the socles of certain parabolically induced representations of p-adic classical groups
复制标题
关于 p 进经典群的某些抛物线诱导表示的基础
DOI：
10.1090/ert/612
复制
发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Atobe Hiraku
中科院分区：
文献类型：
--
作者：
ATOBE Hiraku;CHIDA Masataka;IBUKIYAMA Tomoyoshi;KATSURADA Hidenori;YAMAUCHI Takuya;Atobe Hiraku
在本文中，我们考虑从转移的 Speh 表示和 Arthur 型良好宇称的酉表示的乘积中抛物线导出的-adic 经典群的表示。我们描述如何计算这些表示的 socles（最大半简单子表示）。因此，我们可以确定这些表示是否可简化。特别是，我们的结果产生了许多单一表示，它们出现在互补序列中。参考
In this paper, we consider representations of-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 representations. As a consequence, we can determine whether these representations are reducible or not. In particular, our results produce many unitary representations, which appear in the complementary series. References