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; 新加坡国家研究基金会; 以色列科学基金会;
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
收藏
页码：4857 / 4868
页数：12
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