On a classification of irreducible admissible modulo p representations of a p-adic split reductive group

被引：15

作者：

Abe, Noriyuki ^{[1
]}

机构：

[1] Hokkaido Univ, Creat Res Inst CRIS, Kita Ku, Sapporo, Hokkaido 0010021, Japan

来源：

COMPOSITIO MATHEMATICA | 2013年 / 149卷 / 12期

关键词：

p-adic group; modulo p representation; classification; PRINCIPAL SERIES;

D O I：

10.1112/S0010437X13007379

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a classification of irreducible admissible modulo p representations of a split p-adic reductive group in terms of supersingular representations. This is a generalization of a theorem of Herzig.

引用

页码：2139 / 2168

页数：30

共 17 条

[1] IRREDUCIBLE MODULAR-REPRESENTATIONS OF GL2 OF A LOCAL-FIELD [J].

BARTHEL, L ;

LIVNE, R .

DUKE MATHEMATICAL JOURNAL, 1994, 75 (02) :261-292

[2] MODULAR-REPRESENTATIONS OF GL(2) OF A LOCAL-FIELD - THE ORDINARY, UNRAMIFIED CASE [J].

BARTHEL, L ;

LIVNE, R .

JOURNAL OF NUMBER THEORY, 1995, 55 (01) :1-27

[3]

Bernstein J.N., 1976, Uspehi Mat. Nauk, V31, P5

[4]

Bourbaki N., 1975, Lie Groups and Lie Algebras

[5]

Breuil C., COMPOSITIO MATH, VI

[6]

Breuil C, 2012, MEM AM MATH SOC, V216, P1

[7]

Chriss N., 2010, Representation Theory and Complex Geometry. Modern Birkhauser Classics

[8] SOME CHARACTERIZATIONS OF BRUHAT ORDERING ON A COXETER GROUP AND DETERMINATION OF RELATIVE MOBIUS FUNCTION [J].

DEODHAR, VV .

INVENTIONES MATHEMATICAE, 1977, 39 (02) :187-198

[9]

Emerton M, 2010, ASTERISQUE, P355

[10]

GROSSE-KLONNE E., PREPRINT

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