Finite group algebras of nilpotent groups: A complete set of orthogonal primitive idempotents

被引：8

作者：

Van Gelder, Inneke ^{[1
]}

Olteanu, Gabriela ^{[2
]}

机构：

[1] Vrije Univ Brussel, Dept Math, B-1050 Brussels, Belgium

[2] Univ Babes Bolyai, Dept Stat Forecasts Math, Cluj Napoca 400591, Romania

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2011年 / 17卷 / 02期

关键词：

Idempotents; Group algebras; Group rings; Finite fields; Coding theory; Representation theory; CODES;

D O I：

10.1016/j.ffa.2010.10.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide an explicit construction for a complete set of orthogonal primitive idempotents of finite group algebras over nilpotent groups. Furthermore, we give a complete set of matrix units in each simple epimorphic image of a finite group algebra of a nilpotent group. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：157 / 165

页数：9

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