THE UNITARY SPHERICAL SPECTRUM FOR SPLIT CLASSICAL GROUPS

被引：15

作者：

Barbasch, Dan ^{[1
]}

机构：

[1] Cornell Univ, Dept Math, Ithaca, NY 14850 USA

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2010年 / 9卷 / 02期

关键词：

real and p-adic classical groups; unitary dual; affine Hecke algebra; LIE-GROUPS; IRREDUCIBLE REPRESENTATIONS; CHARACTERISTIC CYCLES; ADIC GROUPS; CHARACTERS; SPACES; GL(N); FIELD;

D O I：

10.1017/S1474748009000231

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper gives a complete description of the spherical unitary dual of split classical real and p-adic groups. The proof makes heavy use of the affine graded Hecke algebra.

引用

页码：265 / 356

页数：92

共 37 条

[1]

[Anonymous], 1997, PRINCETON LANDMARKS

[2]

[Anonymous], 1984, ANN MATH STUDIES

[3]

[Anonymous], 1992, PROGR MATH

[4] THE UNITARY DUAL FOR COMPLEX CLASSICAL LIE-GROUPS [J].