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.
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页码：1801 / 1838
页数：38
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