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.
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页码：132 / 160
页数：29
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