l-modular representations of unramified p-adic U(2,1)

被引：2

作者：

Kurinczuk, Robert James ^{[1
]}

机构：

[1] Univ Bristol, Heilbronn Inst Math Res, Dept Math, Bristol BS8 1TW, Avon, England

来源：

ALGEBRA & NUMBER THEORY | 2014年 / 8卷 / 08期

基金：

英国工程与自然科学研究理事会;

关键词：

representations of p-adic groups; modular representations; SPECIAL UNITARY GROUPS; SUPERCUSPIDAL REPRESENTATIONS; SMOOTH REPRESENTATIONS; CLASSICAL-GROUPS; CHARACTERS; ALGEBRAS; FIELDS;

D O I：

10.2140/ant.2014.8.1801

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct all irreducible cuspidal l-modular representations of a unitary group in three variables attached to an unramified extension of local fields of odd residual characteristic p with l not equal 6 D p. We describe the l-modular principal series and show that the supercuspidal support of an irreducible l-modular representation is unique up to conjugacy.

引用

页码：1801 / 1838

页数：38

共 34 条

[1]

[Anonymous], MATH Z

[2] Description of the admissible dual of U(2,1)(F) by the Bushnell-Kutzko theory [J].

Blasco, L .

MANUSCRIPTA MATHEMATICA, 2002, 107 (02) :151-186

[3]

Blondel C, 2005, MATH ANN, V331, P243, DOI 10.1007/s00208-004-0579-1

[4] Weil representation and β-extensions [J].

Blondel, Corinne .

ANNALES DE L INSTITUT FOURIER, 2012, 62 (04) :1319-1366

[5]

Bonnafé C, 2003, PUBL MATH-PARIS, V97, P1, DOI 10.1007/s10240-003-0013-3

[6]

Bushnell C. J., 1993, ANN MATH STUD, V129

[7] Smooth representations of reductive p-adic groups: Structure theory via types [J].

Bushnell, CJ ;

Kutzko, PC .

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1998, 77 :582-634

[8]

BUSHNELL CJ, 1993, ANN SCI ECOLE NORM S, V26, P261

[9] FINITENESS FOR SMOOTH REPRESENTATIONS OF p-ADIC GROUPS [J].

Dat, Jean-Francois .

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2009, 8 (02) :261-333

[10] v-tempered representations of p-adic groups, I: l-adic case [J].

Dat, JF .

DUKE MATHEMATICAL JOURNAL, 2005, 126 (03) :397-469

← 1 2 3 4 →