The moduli space of 4-dimensional nilpotent complex associative algebras

被引：6
|
作者：
Fialowski, Alice [1 ]
Penkava, Michael [2 ]
机构：
[1] Eotvos Lorand Univ, Budapest, Hungary
[2] Univ Wisconsin, Eau Claire, WI 54702 USA
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2014年 / 457卷
关键词：
Versal deformations; Associative algebras; Bilinear forms; Extensions;
D O I：
10.1016/j.laa.2014.05.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study 4-dimensional nilpotent complex associative algebras. This is a continuation of the study of the moduli space of 4-dimensional algebras. The nonnilpotent algebras were analyzed in an earlier paper. Even though there are only 15 families of nilpotent 4-dimensional algebras, the complexity of their behavior warranted a separate study, which we give here. (C) 2014 Elsevier Inc. All rights reserved.
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页码：408 / 427
页数：20
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