DEGENERATE WHITTAKER FUNCTIONALS FOR REAL REDUCTIVE GROUPS

被引：8
作者：
Gourevitch, Dmitry [1 ]
Sahi, Siddhartha [2 ]
机构：
[1] Weizmann Inst Sci, Fac Math & Comp Sci, IL-76100 Rehovot, Israel
[2] Rutgers State Univ, Dept Math, Hill Ctr, Piscataway, NJ 08854 USA
来源：
AMERICAN JOURNAL OF MATHEMATICS | 2015年 / 137卷 / 02期
基金：
欧洲研究理事会;
关键词：
HARISH-CHANDRA MODULES; PICARD-LEFSCHETZ THEORY; CHARACTERISTIC VARIETIES; INDUCED REPRESENTATIONS; NILPOTENT ORBITS; ADIC GROUPS; LIE GROUP; VECTORS; CHARACTERS; OPERATORS;
D O I：
10.1353/ajm.2015.0008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we establish a connection between the associated variety of a representation and the existence of certain degenerate Whittaker functionals, for both smooth and K-finite vectors, for all quasi-split real reductive groups, thereby generalizing results of Kostant, Matumoto and others.
引用
收藏
页码：439 / 472
页数：34
相关论文
共 48 条
[1]  
Aizenbud A., ISRAEL J MA IN PRESS
[2]  
[Anonymous], 1993, Mathematics series
[3]  
[Anonymous], 1992, PURE APPL MATH
[4]  
[Anonymous], 1991, Harmonic Analysis on Reductive Groups
[5]  
[Anonymous], FUNCT ANAL APPL
[6]  
[Anonymous], 1981, Tata Inst. Fund. Res. Studies in Math.
[7]  
Atiyah M. F., 1969, Introduction to Commutative Algebra
[8]   UNIPOTENT REPRESENTATIONS OF COMPLEX SEMISIMPLE GROUPS [J].
BARBASCH, D ;
VOGAN, DA .
ANNALS OF MATHEMATICS, 1985, 121 (01) :41-110
[9]   Closure ordering and the Kostant-Sekiguchi correspondence [J].
Barbasch, D ;
Sepanski, MR .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (01) :311-317
[10]  
BEILINSON A, 1981, CR ACAD SCI I-MATH, V292, P15
12345