Spectral correspondences for affine Hecke algebras

被引：8
|
作者：
Opdam, Eric [1 ]
机构：
[1] Univ Amsterdam, Korteweg Vries Inst Math, NL-1090 GE Amsterdam, Netherlands
来源：
ADVANCES IN MATHEMATICS | 2016年 / 286卷
基金：
欧洲研究理事会;
关键词：
Affine Hecke algebra; Plancherel measure; P-ADIC GROUPS; FORMAL DEGREES; DISCRETE-SERIES; L-PACKETS; REPRESENTATIONS; DECOMPOSITION; CHARACTERS;
D O I：
10.1016/j.aim.2015.09.019
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the notion of spectral transfer morphisrns between normalized affine Hecke algebras, and show that such morphisms induce spectral measure preserving correspondences on the level of the tempered spectra of the affine Hec,ke algebras involved. We define a partial ordering on the set of isomorphism classes of normalized affine Hecke algebras, which plays an important role for the Langlands parameters of Lusztig's unipotent representations. (C) 2015 Elsevier Inc. All rights reserved.
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页码：912 / 957
页数：46
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