Local theta correspondences between epipelagic supercuspidal representations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Local theta correspondences between epipelagic supercuspidal representations

Authors:	Hung?Yean?Loke author-information" > author-information__contact u-icon-before" > mailto:matlhy@nus.edu.sg" title=" matlhy@nus.edu.sg" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Jia-Jun?Ma,Gordan?Savin

Affiliation:	1.Department of Mathematics,National University of Singapore,Singapore,Singapore;2.The Institute of Mathematical Sciences,The Chinese University of Hong Kong,Shatin,Hong Kong;3.Department of Mathematics,University of Utah,Salt Lake City,USA

Abstract:	In this paper we study the local theta correspondences between epipelagic supercupsidal representations of a type I classical dual pair ((G,G')) over p-adic fields. We show that, besides an exceptional case, an epipelagic supercupsidal representation (pi ) of ({widetilde{G}}) lifts to an epipelagic supercupsidal representation (pi ') of ({widetilde{G}}') if and only if the epipelagic data of (pi ) and (pi ') are related by the moment maps.

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