CLASSIFICATION OF ORBIT CLOSURES IN THE VARIETY OF THREE-DIMENSIONAL NOVIKOV ALGEBRAS

被引：30

作者：

Benes, Thomas ^{[1
]}

Burde, Dietrich ^{[1
]}

机构：

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

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2014年 / 13卷 / 02期

基金：

奥地利科学基金会;

关键词：

Orbit closure; varieties; Novikov algebras; LIE-ALGEBRAS;

D O I：

10.1142/S0219498813500813

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We classify the orbit closures in the variety Nov(3) of complex, three-dimensional Novikov algebras and obtain the Hasse diagrams for the closure ordering of the orbits. We provide invariants which are easy to compute and which enable us to decide whether or not one Novikov algebra degenerates to another Novikov algebra.

引用

页数：33

共 18 条

[1] The classification of Novikov algebras in low dimensions [J].