Isomorphism classes of four dimensional nilpotent associative algebras over a field

被引：0

作者：

Pellegrini, Marco Antonio ^{[1
]}

机构：

[1] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis, Via Musei 41, I-25121 Brescia, Italy

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2017年 / 533卷

关键词：

Regular subgroup; Congruent matrices; Nilpotent algebra; Finite field; REGULAR SUBGROUPS; AFFINE GROUP;

D O I：

10.1016/j.laa.2017.07.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we classify the isomorphism classes of four dimensional nilpotent associative algebras over a field F, studying regular subgroups of the affine group AGL(4)(F). In particular we provide explicit representatives for such classes when F is a finite field, the real field R or an algebraically closed field. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：132 / 160

页数：29

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