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

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