An arithmetic property of intertwining operators for p-adic groups

被引：0

作者：

Raghuram, A. ^{[1
]}

机构：

[1] Fordham Univ, Dept Math, Lincoln Ctr, New York, NY 10023 USA

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2023年 / 75卷 / 01期

关键词：

intertwining operators; p-adic groups; point of evaluation; arithmeticity; CONJECTURE; SERIES;

D O I：

10.4153/S0008414X21000535

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main aim of this article is to show that normalised standard intertwining operator between induced representations of p-adic groups, at a very specific point of evaluation, has an arithmetic origin. This result has applications to Eisenstein cohomology and the special values of automorphic L-functions.

引用

页码：83 / 107

页数：25

共 50 条

[1] A geometric construction of intertwining operators for reductive p-adic groups
Goran Muić
[J]. manuscripta mathematica, 2008, 125 : 241 - 272
[2] Residues of standard intertwining operators on p-adic classical groups
Yu, Xiaoxiang
[J]. FORUM MATHEMATICUM, 2016, 28 (04) : 609 - 648
[3] A geometric construction of intertwining operators for reductive p-adic groups
Muic, Goran
[J]. MANUSCRIPTA MATHEMATICA, 2008, 125 (02) : 241 - 272
[4] An intertwining result for p-adic groups
Adler, JD
Roche, A
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2000, 52 (03): : 449 - 467
[5] INTERTWINING MAPS BETWEEN p-ADIC PRINCIPAL SERIES OF p-ADIC GROUPS
Ban, Dubravka
Hundley, Joseph
[J]. REPRESENTATION THEORY, 2021, 25 : 975 - 993
[6] INTERTWINING SEMISIMPLE CHARACTERS FOR p-ADIC CLASSICAL GROUPS
Skodlerack, Daniel
Stevens, Shaun
[J]. NAGOYA MATHEMATICAL JOURNAL, 2020, 238 : 137 - 205
[7] Intertwining and supercuspidal types for p-adic classical groups
Stevens, S
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2001, 83 : 120 - 140
[8] Intertwining operators and Hecke algebra parameters with a p-adic reductive group: the case of classical groups
Heiermann, Volker
[J]. SELECTA MATHEMATICA-NEW SERIES, 2011, 17 (03): : 713 - 756
[9] THE LANGLANDS QUOTIENT THEOREM FOR FINITE CENTRAL EXTENSIONS OF p-ADIC GROUPS II: INTERTWINING OPERATORS AND DUALITY
Ban, Dubravka
Jantzen, Chris
[J]. GLASNIK MATEMATICKI, 2016, 51 (01) : 153 - 163
[10] Property (RD) for algebraic p-adic groups
Mustapha, Sami
[J]. COMPTES RENDUS MATHEMATIQUE, 2010, 348 (7-8) : 411 - 413

← 1 2 3 4 5 →