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.
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页码：6359 / 6375
页数：17
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