DUALITY FOR SPHERICAL REPRESENTATIONS IN EXCEPTIONAL THETA CORRESPONDENCES

被引：1

作者：

Loke, Hung Yean ^{[1
]}

Savin, Gordan ^{[2
]}

机构：

[1] Natl Univ Singapore, Dept Math, 21 Lower Kent Ridge Rd, Singapore 119077, Singapore

[2] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 371卷 / 09期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1090/tran/7471

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the exceptional theta correspondence for real groups obtained by restricting the minimal representation of the split exceptional group of the type E-n, to a split dual pair where one member is the exceptional group of the type G(2). We prove that the correspondence gives a bijection between spherical representations if n = 6, 7, and a slightly weaker statement if n = 8.

引用

页码：6359 / 6375

页数：17

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