科研之友
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摘要
By the works of Yu, Kim and Hakim-Murnaghan, we have a parameterization and construction of all supercuspidal reprsentations of a reductive p-adic group in terms of supercuspidal data, when p is sufficiently large. In this paper, we will define a correspondence of supercuspidal data via moment maps and theta correspondences over finite fields. Then we will show that local theta correspondences between supercuspidal representations are completely described by this notion. In Appendix B, we give a short proof of a result of Pan on "depth preservation".
- 出版日期2018-7
- 单位上海交通大学
