Classification of Novikov algebras

被引：31

作者：

Burde, Dietrich ^{[1
]}

de Graaf, Willem ^{[2
]}

机构：

[1] Univ Vienna, Fak Math, A-1090 Vienna, Austria

[2] Univ Trent, Dipartimento Matemat, I-38050 Trento, Italy

来源：

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2013年 / 24卷 / 01期

基金：

奥地利科学基金会;

关键词：

Novikov algebras; Classification; Computational methods; SOLVABLE LIE-ALGEBRAS; COMMUTATIVE ALGEBRAS;

D O I：

10.1007/s00200-012-0180-x

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We describe a method for classifying the Novikov algebras with a given associated Lie algebra. Subsequently we give the classification of the Novikov algebras of dimension 3 over and , as well as the classification of the 4-dimensional Novikov algebras over whose associated Lie algebra is nilpotent. In particular this includes a list of all 4-dimensional commutative associative algebras over .

引用

页码：1 / 15

页数：15

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