An intertwining result for p-adic groups

被引：36

作者：

Adler, JD ^{[1
]}

Roche, A

机构：

[1] Univ Akron, Dept Math & Comp Sci, Akron, OH 44325 USA

[2] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2000年 / 52卷 / 03期

关键词：

D O I：

10.4153/CJM-2000-021-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a reductive p-adic group G, we compute the supports of the Hecke algebras for the K-types for G lying in a certain frequently-occurring class. When G is classical, we compute the intertwining between any two such K-types.

引用

页码：449 / 467

页数：19

共 50 条

[1] INTERTWINING MAPS BETWEEN p-ADIC PRINCIPAL SERIES OF p-ADIC GROUPS
Ban, Dubravka
Hundley, Joseph
REPRESENTATION THEORY, 2021, 25 : 975 - 993
[2] INTERTWINING SEMISIMPLE CHARACTERS FOR p-ADIC CLASSICAL GROUPS
Skodlerack, Daniel
Stevens, Shaun
NAGOYA MATHEMATICAL JOURNAL, 2020, 238 : 137 - 205
[3] An arithmetic property of intertwining operators for p-adic groups
Raghuram, A.
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2023, 75 (01): : 83 - 107
[4] Intertwining and supercuspidal types for p-adic classical groups
Stevens, S
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2001, 83 : 120 - 140
[5] A geometric construction of intertwining operators for reductive p-adic groups
Goran Muić
manuscripta mathematica, 2008, 125 : 241 - 272
[6] Residues of standard intertwining operators on p-adic classical groups
Yu, Xiaoxiang
FORUM MATHEMATICUM, 2016, 28 (04) : 609 - 648
[7] A geometric construction of intertwining operators for reductive p-adic groups
Muic, Goran
MANUSCRIPTA MATHEMATICA, 2008, 125 (02) : 241 - 272
[8] Quantum p-adic spaces and quantum p-adic groups
Soibelman, Yan
IN MEMORY OF ALEXANDER REZNIKOV, 2008, 265 : 697 - 719
[9] Invariant measures on p-adic Lie groups: the p-adic quaternion algebra and the Haar integral on the p-adic rotation groups
Aniello, Paolo
L'Innocente, Sonia
Mancini, Stefano
Parisi, Vincenzo
Svampa, Ilaria
Winter, Andreas
LETTERS IN MATHEMATICAL PHYSICS, 2024, 114 (03)
[10] P-ADIC MEASURES FOR SPHERICAL REPRESENTATIONS OF REDUCTIVE P-ADIC GROUPS
HARRIS, M
DUKE MATHEMATICAL JOURNAL, 1982, 49 (03) : 497 - 512

← 1 2 3 4 5 →