Exceptional Theta-correspondences .1.

被引:31
作者
Magaard, K [1 ]
Savin, G [1 ]
机构
[1] UNIV UTAH,DEPT MATH,SALT LAKE CITY,UT 84112
基金
美国国家科学基金会;
关键词
dual pairs; minimal representations;
D O I
10.1023/A:1000139424441
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let G be either a split SO(2n + 2), or a split adjoint group of type E-n, (n = 6, 7, 8), over a p-adic field. In this article we study correspondences arising by restricting the minimal representation of G to various dual pairs in G.
引用
收藏
页码:89 / 123
页数:35
相关论文
共 32 条
[1]  
[Anonymous], 1979, P S PURE MATH
[2]  
[Anonymous], GTM
[3]  
[Anonymous], ISRAEL MATH C P
[4]   THE 27-DIMENSIONAL MODULE FOR E6 .1. [J].
ASCHBACHER, M .
INVENTIONES MATHEMATICAE, 1987, 89 (01) :159-195
[5]   THE 27-DIMENSIONAL MODULE FOR E6, III [J].
ASCHBACHER, M .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 321 (01) :45-84
[6]  
Bernstein I.N., 1976, RUSS MATH SURV, V31, P1, DOI 10.1070/RM1976v031n03ABEH001532
[7]  
Bernstein J.N., 1984, CTR BERNSTEIN REPRES
[8]  
CARTIER P, 1979, P S PURE MATH, V33
[9]   A NOTE ON THE WEYL GROUP OF TYPE E7 [J].
COOPERSTEIN, BN .
EUROPEAN JOURNAL OF COMBINATORICS, 1990, 11 (05) :415-419
[10]  
Dynkin EB., 1952, Mat. Sbornik N.S., V72, P349