Principal series for general linear groups over finite commutative rings

被引：1

作者：

Crisp, Tyrone ^{[1
]}

Meir, Ehud ^{[2
]}

Onn, Uri ^{[3
]}

机构：

[1] Univ Maine, Dept Math & Stat, Orono, ME USA

[2] Univ Aberdeen, Inst Math, Fraser Noble Bldg, Aberdeen AB24 3UE, Scotland

[3] Australian Natl Univ, Math Sci Inst, Canberra, ACT, Australia

来源：

COMMUNICATIONS IN ALGEBRA | 2021年 / 49卷 / 11期

基金：

澳大利亚研究理事会; 以色列科学基金会; 新加坡国家研究基金会;

关键词：

Finite commutative rings; general linear groups; principal series; REGULAR CHARACTERS; REPRESENTATIONS; DECOMPOSITION;

D O I：

10.1080/00927872.2021.1931264

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct, for any finite commutative ring R, a family of representations of the general linear group GL(n)(R) whose intertwining properties mirror those of the principal series for GL(n) over a finite field.

引用

页码：4857 / 4868

页数：12

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