arXiv
Open Access
2017
Distinguished regular supercuspidal representations
Chong Zhang
Abstrak
Based on recent work of Kaletha, we apply Hakim--Murnaghan's result to study distinguished regular supercuspidal representations of tamely ramified reductive $p$-adic groups. Assuming $p$ is 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.
Topik & Kata Kunci
Penulis (1)
C
Chong Zhang
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2017
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- en
- Sumber Database
- arXiv
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- Open Access ✓