Distinguished regular supercuspidal representations
Distinguished regular supercuspidal representations
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DOI：
10.1007/s00208-020-01967-w
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发表时间：
2017-02
影响因子：
1.4
通讯作者：
Chong-Quan Zhang
中科院分区：
文献类型：
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作者：
Chong-Quan Zhang
本文在Kaletha最近工作的基础上，应用Hakim-Murnaghan的结果研究了平凡分歧约化ep-adic群的正则超尖点表示。假设p是充分大的，我们得到了正则超尖点表示可区分的一个充要条件。我们还调查了区别问题和朗兰兹函子性之间的关系，并确认了Lapid的猜想，定期深度为零或epipelagic超尖点表示。
Based on recent work of Kaletha, we apply Hakim–Murnaghan’s result to study distinguished regular supercuspidal representations of tamely ramified reductivep-adic groups. Assumingpis sufficiently large, we obtain a necessary and sufficient condition for regular supercuspidal representations to be distinguished. We also investigate the relation between the distinction problem and the Langlands functoriality, and confirm a conjecture of Lapid for regular depth-zero or epipelagic supercuspidal representations.