Local theta correspondences between epipelagic supercuspidal representations

Hung Yean Loke; Jia Jun Ma; Gordan Savin

doi:10.1007/s00209-015-1594-5

Local theta correspondences between epipelagic supercuspidal representations

Hung Yean Loke, Jia Jun Ma, Gordan Savin

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	169-196
Number of pages	28
Journal	Mathematische Zeitschrift
Volume	283
Issue number	1-2
DOIs	https://doi.org/10.1007/s00209-015-1594-5
State	Published - 1 Jun 2016
Externally published	Yes

Keywords

Epipelagic supercuspidal representation
Local theta correspondence
Moment map
Stable vector

ASJC Scopus subject areas

General Mathematics

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10.1007/s00209-015-1594-5

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title = "Local theta correspondences between epipelagic supercuspidal representations",

abstract = "In this paper we study the local theta correspondences between epipelagic supercupsidal representations of a type I classical dual pair (Formula presented.) over p-adic fields. We show that, besides an exceptional case, an epipelagic supercupsidal representation (Formula presented.) of (Formula presented.) lifts to an epipelagic supercupsidal representation (Formula presented.) of (Formula presented.) if and only if the epipelagic data of (Formula presented.) and (Formula presented.) are related by the moment maps.",

keywords = "Epipelagic supercuspidal representation, Local theta correspondence, Moment map, Stable vector",

author = "Loke, {Hung Yean} and Ma, {Jia Jun} and Gordan Savin",

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T1 - Local theta correspondences between epipelagic supercuspidal representations

AU - Loke, Hung Yean

AU - Ma, Jia Jun

AU - Savin, Gordan

PY - 2016/6/1

Y1 - 2016/6/1

N2 - In this paper we study the local theta correspondences between epipelagic supercupsidal representations of a type I classical dual pair (Formula presented.) over p-adic fields. We show that, besides an exceptional case, an epipelagic supercupsidal representation (Formula presented.) of (Formula presented.) lifts to an epipelagic supercupsidal representation (Formula presented.) of (Formula presented.) if and only if the epipelagic data of (Formula presented.) and (Formula presented.) are related by the moment maps.

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

KW - Epipelagic supercuspidal representation

KW - Local theta correspondence

KW - Moment map

KW - Stable vector

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DO - 10.1007/s00209-015-1594-5

M3 - Article

AN - SCOPUS:84952671293

SN - 0025-5874

VL - 283

SP - 169

EP - 196

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 1-2

ER -

Local theta correspondences between epipelagic supercuspidal representations

Abstract

Keywords

ASJC Scopus subject areas

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